2908 lines
102 KiB
Fortran
2908 lines
102 KiB
Fortran
PROGRAM SBLAT2
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*
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* Test program for the REAL Level 2 Blas.
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*
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* The program must be driven by a short data file. The first 17 records
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* of the file are read using list-directed input, the last 16 records
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* are read using the format ( A12, L2 ). An annotated example of a data
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* file can be obtained by deleting the first 3 characters from the
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* following 33 lines:
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* 'SBLAT2.SNAP' NAME OF SNAPSHOT OUTPUT FILE
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* -1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0)
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* F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD.
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* F LOGICAL FLAG, T TO STOP ON FAILURES.
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* T LOGICAL FLAG, T TO TEST ERROR EXITS.
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* 2 0 TO TEST COLUMN-MAJOR, 1 TO TEST ROW-MAJOR, 2 TO TEST BOTH
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* 16.0 THRESHOLD VALUE OF TEST RATIO
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* 6 NUMBER OF VALUES OF N
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* 0 1 2 3 5 9 VALUES OF N
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* 4 NUMBER OF VALUES OF K
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* 0 1 2 4 VALUES OF K
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* 4 NUMBER OF VALUES OF INCX AND INCY
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* 1 2 -1 -2 VALUES OF INCX AND INCY
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* 3 NUMBER OF VALUES OF ALPHA
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* 0.0 1.0 0.7 VALUES OF ALPHA
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* 3 NUMBER OF VALUES OF BETA
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* 0.0 1.0 0.9 VALUES OF BETA
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* cblas_sgemv T PUT F FOR NO TEST. SAME COLUMNS.
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* cblas_sgbmv T PUT F FOR NO TEST. SAME COLUMNS.
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* cblas_ssymv T PUT F FOR NO TEST. SAME COLUMNS.
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* cblas_ssbmv T PUT F FOR NO TEST. SAME COLUMNS.
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* cblas_sspmv T PUT F FOR NO TEST. SAME COLUMNS.
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* cblas_strmv T PUT F FOR NO TEST. SAME COLUMNS.
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* cblas_stbmv T PUT F FOR NO TEST. SAME COLUMNS.
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* cblas_stpmv T PUT F FOR NO TEST. SAME COLUMNS.
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* cblas_strsv T PUT F FOR NO TEST. SAME COLUMNS.
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* cblas_stbsv T PUT F FOR NO TEST. SAME COLUMNS.
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* cblas_stpsv T PUT F FOR NO TEST. SAME COLUMNS.
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* cblas_sger T PUT F FOR NO TEST. SAME COLUMNS.
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* cblas_ssyr T PUT F FOR NO TEST. SAME COLUMNS.
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* cblas_sspr T PUT F FOR NO TEST. SAME COLUMNS.
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* cblas_ssyr2 T PUT F FOR NO TEST. SAME COLUMNS.
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* cblas_sspr2 T PUT F FOR NO TEST. SAME COLUMNS.
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*
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* See:
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*
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* Dongarra J. J., Du Croz J. J., Hammarling S. and Hanson R. J..
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* An extended set of Fortran Basic Linear Algebra Subprograms.
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*
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* Technical Memoranda Nos. 41 (revision 3) and 81, Mathematics
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* and Computer Science Division, Argonne National Laboratory,
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* 9700 South Cass Avenue, Argonne, Illinois 60439, US.
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*
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* Or
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*
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* NAG Technical Reports TR3/87 and TR4/87, Numerical Algorithms
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* Group Ltd., NAG Central Office, 256 Banbury Road, Oxford
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* OX2 7DE, UK, and Numerical Algorithms Group Inc., 1101 31st
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* Street, Suite 100, Downers Grove, Illinois 60515-1263, USA.
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*
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*
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* -- Written on 10-August-1987.
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* Richard Hanson, Sandia National Labs.
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* Jeremy Du Croz, NAG Central Office.
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*
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* .. Parameters ..
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INTEGER NIN, NOUT
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PARAMETER ( NIN = 5, NOUT = 6 )
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INTEGER NSUBS
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PARAMETER ( NSUBS = 16 )
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REAL ZERO, HALF, ONE
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PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 )
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INTEGER NMAX, INCMAX
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PARAMETER ( NMAX = 65, INCMAX = 2 )
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INTEGER NINMAX, NIDMAX, NKBMAX, NALMAX, NBEMAX
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PARAMETER ( NINMAX = 7, NIDMAX = 9, NKBMAX = 7,
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$ NALMAX = 7, NBEMAX = 7 )
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* .. Local Scalars ..
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REAL EPS, ERR, THRESH
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INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NINC, NKB,
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$ NTRA, LAYOUT
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LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE,
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$ TSTERR, CORDER, RORDER
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CHARACTER*1 TRANS
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CHARACTER*12 SNAMET
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CHARACTER*32 SNAPS
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* .. Local Arrays ..
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REAL A( NMAX, NMAX ), AA( NMAX*NMAX ),
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$ ALF( NALMAX ), AS( NMAX*NMAX ), BET( NBEMAX ),
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$ G( NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
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$ XX( NMAX*INCMAX ), Y( NMAX ),
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$ YS( NMAX*INCMAX ), YT( NMAX ),
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$ YY( NMAX*INCMAX ), Z( 2*NMAX )
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INTEGER IDIM( NIDMAX ), INC( NINMAX ), KB( NKBMAX )
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LOGICAL LTEST( NSUBS )
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CHARACTER*12 SNAMES( NSUBS )
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* .. External Functions ..
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REAL SDIFF
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LOGICAL LSE
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EXTERNAL SDIFF, LSE
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* .. External Subroutines ..
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EXTERNAL SCHK1, SCHK2, SCHK3, SCHK4, SCHK5, SCHK6,
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$ CS2CHKE, SMVCH
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* .. Intrinsic Functions ..
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INTRINSIC ABS, MAX, MIN
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* .. Scalars in Common ..
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INTEGER INFOT, NOUTC
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LOGICAL OK
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CHARACTER*12 SRNAMT
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* .. Common blocks ..
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COMMON /INFOC/INFOT, NOUTC, OK
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COMMON /SRNAMC/SRNAMT
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* .. Data statements ..
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DATA SNAMES/'cblas_sgemv ', 'cblas_sgbmv ',
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$ 'cblas_ssymv ','cblas_ssbmv ','cblas_sspmv ',
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$ 'cblas_strmv ','cblas_stbmv ','cblas_stpmv ',
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$ 'cblas_strsv ','cblas_stbsv ','cblas_stpsv ',
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$ 'cblas_sger ','cblas_ssyr ','cblas_sspr ',
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$ 'cblas_ssyr2 ','cblas_sspr2 '/
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* .. Executable Statements ..
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*
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NOUTC = NOUT
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*
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* Read name and unit number for snapshot output file and open file.
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*
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READ( NIN, FMT = * )SNAPS
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READ( NIN, FMT = * )NTRA
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TRACE = NTRA.GE.0
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IF( TRACE )THEN
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OPEN( NTRA, FILE = SNAPS )
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END IF
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* Read the flag that directs rewinding of the snapshot file.
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READ( NIN, FMT = * )REWI
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REWI = REWI.AND.TRACE
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* Read the flag that directs stopping on any failure.
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READ( NIN, FMT = * )SFATAL
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* Read the flag that indicates whether error exits are to be tested.
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READ( NIN, FMT = * )TSTERR
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* Read the flag that indicates whether row-major data layout to be tested.
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READ( NIN, FMT = * )LAYOUT
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* Read the threshold value of the test ratio
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READ( NIN, FMT = * )THRESH
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*
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* Read and check the parameter values for the tests.
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*
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* Values of N
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READ( NIN, FMT = * )NIDIM
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IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN
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WRITE( NOUT, FMT = 9997 )'N', NIDMAX
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GO TO 230
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END IF
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READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM )
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DO 10 I = 1, NIDIM
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IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN
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WRITE( NOUT, FMT = 9996 )NMAX
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GO TO 230
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END IF
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10 CONTINUE
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* Values of K
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READ( NIN, FMT = * )NKB
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IF( NKB.LT.1.OR.NKB.GT.NKBMAX )THEN
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WRITE( NOUT, FMT = 9997 )'K', NKBMAX
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GO TO 230
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END IF
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READ( NIN, FMT = * )( KB( I ), I = 1, NKB )
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DO 20 I = 1, NKB
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IF( KB( I ).LT.0 )THEN
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WRITE( NOUT, FMT = 9995 )
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GO TO 230
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END IF
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20 CONTINUE
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* Values of INCX and INCY
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READ( NIN, FMT = * )NINC
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IF( NINC.LT.1.OR.NINC.GT.NINMAX )THEN
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WRITE( NOUT, FMT = 9997 )'INCX AND INCY', NINMAX
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GO TO 230
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END IF
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READ( NIN, FMT = * )( INC( I ), I = 1, NINC )
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DO 30 I = 1, NINC
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IF( INC( I ).EQ.0.OR.ABS( INC( I ) ).GT.INCMAX )THEN
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WRITE( NOUT, FMT = 9994 )INCMAX
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GO TO 230
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END IF
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30 CONTINUE
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* Values of ALPHA
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READ( NIN, FMT = * )NALF
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IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN
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WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX
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GO TO 230
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END IF
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READ( NIN, FMT = * )( ALF( I ), I = 1, NALF )
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* Values of BETA
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READ( NIN, FMT = * )NBET
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IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN
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WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX
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GO TO 230
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END IF
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READ( NIN, FMT = * )( BET( I ), I = 1, NBET )
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*
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* Report values of parameters.
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*
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WRITE( NOUT, FMT = 9993 )
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WRITE( NOUT, FMT = 9992 )( IDIM( I ), I = 1, NIDIM )
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WRITE( NOUT, FMT = 9991 )( KB( I ), I = 1, NKB )
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WRITE( NOUT, FMT = 9990 )( INC( I ), I = 1, NINC )
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WRITE( NOUT, FMT = 9989 )( ALF( I ), I = 1, NALF )
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WRITE( NOUT, FMT = 9988 )( BET( I ), I = 1, NBET )
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IF( .NOT.TSTERR )THEN
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WRITE( NOUT, FMT = * )
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WRITE( NOUT, FMT = 9980 )
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END IF
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WRITE( NOUT, FMT = * )
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WRITE( NOUT, FMT = 9999 )THRESH
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WRITE( NOUT, FMT = * )
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RORDER = .FALSE.
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CORDER = .FALSE.
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IF (LAYOUT.EQ.2) THEN
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RORDER = .TRUE.
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CORDER = .TRUE.
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WRITE( *, FMT = 10002 )
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ELSE IF (LAYOUT.EQ.1) THEN
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RORDER = .TRUE.
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WRITE( *, FMT = 10001 )
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ELSE IF (LAYOUT.EQ.0) THEN
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CORDER = .TRUE.
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WRITE( *, FMT = 10000 )
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END IF
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WRITE( *, FMT = * )
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*
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* Read names of subroutines and flags which indicate
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* whether they are to be tested.
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*
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DO 40 I = 1, NSUBS
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LTEST( I ) = .FALSE.
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40 CONTINUE
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50 READ( NIN, FMT = 9984, END = 80 )SNAMET, LTESTT
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DO 60 I = 1, NSUBS
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IF( SNAMET.EQ.SNAMES( I ) )
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$ GO TO 70
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60 CONTINUE
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WRITE( NOUT, FMT = 9986 )SNAMET
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STOP
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70 LTEST( I ) = LTESTT
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GO TO 50
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*
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80 CONTINUE
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CLOSE ( NIN )
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*
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* Compute EPS (the machine precision).
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*
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EPS = ONE
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90 CONTINUE
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IF( SDIFF( ONE + EPS, ONE ).EQ.ZERO )
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$ GO TO 100
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EPS = HALF*EPS
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GO TO 90
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100 CONTINUE
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EPS = EPS + EPS
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WRITE( NOUT, FMT = 9998 )EPS
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*
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* Check the reliability of SMVCH using exact data.
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*
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N = MIN( 32, NMAX )
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DO 120 J = 1, N
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DO 110 I = 1, N
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A( I, J ) = MAX( I - J + 1, 0 )
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110 CONTINUE
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X( J ) = J
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Y( J ) = ZERO
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120 CONTINUE
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DO 130 J = 1, N
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YY( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3
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130 CONTINUE
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* YY holds the exact result. On exit from SMVCH YT holds
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* the result computed by SMVCH.
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TRANS = 'N'
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CALL SMVCH( TRANS, N, N, ONE, A, NMAX, X, 1, ZERO, Y, 1, YT, G,
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$ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
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SAME = LSE( YY, YT, N )
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IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN
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WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR
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STOP
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END IF
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TRANS = 'T'
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CALL SMVCH( TRANS, N, N, ONE, A, NMAX, X, -1, ZERO, Y, -1, YT, G,
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$ YY, EPS, ERR, FATAL, NOUT, .TRUE. )
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SAME = LSE( YY, YT, N )
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IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN
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WRITE( NOUT, FMT = 9985 )TRANS, SAME, ERR
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STOP
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END IF
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*
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* Test each subroutine in turn.
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*
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DO 210 ISNUM = 1, NSUBS
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WRITE( NOUT, FMT = * )
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IF( .NOT.LTEST( ISNUM ) )THEN
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* Subprogram is not to be tested.
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WRITE( NOUT, FMT = 9983 )SNAMES( ISNUM )
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ELSE
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SRNAMT = SNAMES( ISNUM )
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* Test error exits.
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IF( TSTERR )THEN
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CALL CS2CHKE( SNAMES( ISNUM ) )
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WRITE( NOUT, FMT = * )
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END IF
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* Test computations.
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INFOT = 0
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OK = .TRUE.
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FATAL = .FALSE.
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GO TO ( 140, 140, 150, 150, 150, 160, 160,
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$ 160, 160, 160, 160, 170, 180, 180,
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$ 190, 190 )ISNUM
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* Test SGEMV, 01, and SGBMV, 02.
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140 IF (CORDER) THEN
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CALL SCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
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$ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
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$ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
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$ X, XX, XS, Y, YY, YS, YT, G, 0 )
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END IF
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IF (RORDER) THEN
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CALL SCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
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$ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
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$ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
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$ X, XX, XS, Y, YY, YS, YT, G, 1 )
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END IF
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GO TO 200
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* Test SSYMV, 03, SSBMV, 04, and SSPMV, 05.
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150 IF (CORDER) THEN
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CALL SCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
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$ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
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$ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
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$ X, XX, XS, Y, YY, YS, YT, G, 0 )
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END IF
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IF (RORDER) THEN
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CALL SCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
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$ REWI, FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF,
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$ NBET, BET, NINC, INC, NMAX, INCMAX, A, AA, AS,
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$ X, XX, XS, Y, YY, YS, YT, G, 1 )
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END IF
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GO TO 200
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* Test STRMV, 06, STBMV, 07, STPMV, 08,
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* STRSV, 09, STBSV, 10, and STPSV, 11.
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160 IF (CORDER) THEN
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CALL SCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
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$ REWI, FATAL, NIDIM, IDIM, NKB, KB, NINC, INC,
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$ NMAX, INCMAX, A, AA, AS, Y, YY, YS, YT, G, Z,
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$ 0 )
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END IF
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IF (RORDER) THEN
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CALL SCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
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$ REWI, FATAL, NIDIM, IDIM, NKB, KB, NINC, INC,
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$ NMAX, INCMAX, A, AA, AS, Y, YY, YS, YT, G, Z,
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$ 1 )
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END IF
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GO TO 200
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* Test SGER, 12.
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170 IF (CORDER) THEN
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CALL SCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
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$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
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$ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
|
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$ YT, G, Z, 0 )
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END IF
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IF (RORDER) THEN
|
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CALL SCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
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$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
|
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$ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
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$ YT, G, Z, 1 )
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END IF
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GO TO 200
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* Test SSYR, 13, and SSPR, 14.
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180 IF (CORDER) THEN
|
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CALL SCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
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$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
|
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$ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
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$ YT, G, Z, 0 )
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END IF
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IF (RORDER) THEN
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CALL SCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
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$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
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$ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
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$ YT, G, Z, 1 )
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END IF
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GO TO 200
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* Test SSYR2, 15, and SSPR2, 16.
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190 IF (CORDER) THEN
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CALL SCHK6( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
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$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
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$ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
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$ YT, G, Z, 0 )
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END IF
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IF (RORDER) THEN
|
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CALL SCHK6( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE,
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$ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC,
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$ NMAX, INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS,
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$ YT, G, Z, 1 )
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END IF
|
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*
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200 IF( FATAL.AND.SFATAL )
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$ GO TO 220
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END IF
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210 CONTINUE
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WRITE( NOUT, FMT = 9982 )
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GO TO 240
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*
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220 CONTINUE
|
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WRITE( NOUT, FMT = 9981 )
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GO TO 240
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*
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230 CONTINUE
|
|
WRITE( NOUT, FMT = 9987 )
|
|
*
|
|
240 CONTINUE
|
|
IF( TRACE )
|
|
$ CLOSE ( NTRA )
|
|
CLOSE ( NOUT )
|
|
STOP
|
|
*
|
|
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( ' VALUE OF K IS LESS THAN 0' )
|
|
9994 FORMAT( ' ABSOLUTE VALUE OF INCX OR INCY IS 0 OR GREATER THAN ',
|
|
$ I2 )
|
|
9993 FORMAT( ' TESTS OF THE REAL LEVEL 2 BLAS', //' THE F',
|
|
$ 'OLLOWING PARAMETER VALUES WILL BE USED:' )
|
|
9992 FORMAT( ' FOR N ', 9I6 )
|
|
9991 FORMAT( ' FOR K ', 7I6 )
|
|
9990 FORMAT( ' FOR INCX AND INCY ', 7I6 )
|
|
9989 FORMAT( ' FOR ALPHA ', 7F6.1 )
|
|
9988 FORMAT( ' FOR BETA ', 7F6.1 )
|
|
9987 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM',
|
|
$ /' ******* TESTS ABANDONED *******' )
|
|
9986 FORMAT( ' SUBPROGRAM NAME ',A12, ' NOT RECOGNIZED', /' ******* T',
|
|
$ 'ESTS ABANDONED *******' )
|
|
9985 FORMAT( ' ERROR IN SMVCH - IN-LINE DOT PRODUCTS ARE BEING EVALU',
|
|
$ 'ATED WRONGLY.', /' SMVCH WAS CALLED WITH TRANS = ', A1,
|
|
$ ' AND RETURNED SAME = ', L1, ' AND ERR = ', F12.3, '.', /
|
|
$ ' THIS MAY BE DUE TO FAULTS IN THE ARITHMETIC OR THE COMPILER.'
|
|
$ , /' ******* TESTS ABANDONED *******' )
|
|
9984 FORMAT(A12, L2 )
|
|
9983 FORMAT( 1X,A12, ' WAS NOT TESTED' )
|
|
9982 FORMAT( /' END OF TESTS' )
|
|
9981 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' )
|
|
9980 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' )
|
|
*
|
|
* End of SBLAT2.
|
|
*
|
|
END
|
|
SUBROUTINE SCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
|
|
$ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET,
|
|
$ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX,
|
|
$ XS, Y, YY, YS, YT, G, IORDER )
|
|
*
|
|
* Tests SGEMV and SGBMV.
|
|
*
|
|
* Auxiliary routine for test program for Level 2 Blas.
|
|
*
|
|
* -- Written on 10-August-1987.
|
|
* Richard Hanson, Sandia National Labs.
|
|
* Jeremy Du Croz, NAG Central Office.
|
|
*
|
|
* .. Parameters ..
|
|
REAL ZERO, HALF
|
|
PARAMETER ( ZERO = 0.0, HALF = 0.5 )
|
|
* .. Scalar Arguments ..
|
|
REAL EPS, THRESH
|
|
INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
|
|
$ NOUT, NTRA, IORDER
|
|
LOGICAL FATAL, REWI, TRACE
|
|
CHARACTER*12 SNAME
|
|
* .. Array Arguments ..
|
|
REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
|
|
$ AS( NMAX*NMAX ), BET( NBET ), G( NMAX ),
|
|
$ X( NMAX ), XS( NMAX*INCMAX ),
|
|
$ XX( NMAX*INCMAX ), Y( NMAX ),
|
|
$ YS( NMAX*INCMAX ), YT( NMAX ),
|
|
$ YY( NMAX*INCMAX )
|
|
INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
|
|
* .. Local Scalars ..
|
|
REAL ALPHA, ALS, BETA, BLS, ERR, ERRMAX, TRANSL
|
|
INTEGER I, IA, IB, IC, IKU, IM, IN, INCX, INCXS, INCY,
|
|
$ INCYS, IX, IY, KL, KLS, KU, KUS, LAA, LDA,
|
|
$ LDAS, LX, LY, M, ML, MS, N, NARGS, NC, ND, NK,
|
|
$ NL, NS
|
|
LOGICAL BANDED, FULL, NULL, RESET, SAME, TRAN
|
|
CHARACTER*1 TRANS, TRANSS
|
|
CHARACTER*14 CTRANS
|
|
CHARACTER*3 ICH
|
|
* .. Local Arrays ..
|
|
LOGICAL ISAME( 13 )
|
|
* .. External Functions ..
|
|
LOGICAL LSE, LSERES
|
|
EXTERNAL LSE, LSERES
|
|
* .. External Subroutines ..
|
|
EXTERNAL CSGBMV, CSGEMV, SMAKE, SMVCH
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC ABS, MAX, MIN
|
|
* .. Scalars in Common ..
|
|
INTEGER INFOT, NOUTC
|
|
LOGICAL OK
|
|
* .. Common blocks ..
|
|
COMMON /INFOC/INFOT, NOUTC, OK
|
|
* .. Data statements ..
|
|
DATA ICH/'NTC'/
|
|
* .. Executable Statements ..
|
|
FULL = SNAME( 9: 9 ).EQ.'e'
|
|
BANDED = SNAME( 9: 9 ).EQ.'b'
|
|
* Define the number of arguments.
|
|
IF( FULL )THEN
|
|
NARGS = 11
|
|
ELSE IF( BANDED )THEN
|
|
NARGS = 13
|
|
END IF
|
|
*
|
|
NC = 0
|
|
RESET = .TRUE.
|
|
ERRMAX = ZERO
|
|
*
|
|
DO 120 IN = 1, NIDIM
|
|
N = IDIM( IN )
|
|
ND = N/2 + 1
|
|
*
|
|
DO 110 IM = 1, 2
|
|
IF( IM.EQ.1 )
|
|
$ M = MAX( N - ND, 0 )
|
|
IF( IM.EQ.2 )
|
|
$ M = MIN( N + ND, NMAX )
|
|
*
|
|
IF( BANDED )THEN
|
|
NK = NKB
|
|
ELSE
|
|
NK = 1
|
|
END IF
|
|
DO 100 IKU = 1, NK
|
|
IF( BANDED )THEN
|
|
KU = KB( IKU )
|
|
KL = MAX( KU - 1, 0 )
|
|
ELSE
|
|
KU = N - 1
|
|
KL = M - 1
|
|
END IF
|
|
* Set LDA to 1 more than minimum value if room.
|
|
IF( BANDED )THEN
|
|
LDA = KL + KU + 1
|
|
ELSE
|
|
LDA = M
|
|
END IF
|
|
IF( LDA.LT.NMAX )
|
|
$ LDA = LDA + 1
|
|
* Skip tests if not enough room.
|
|
IF( LDA.GT.NMAX )
|
|
$ GO TO 100
|
|
LAA = LDA*N
|
|
NULL = N.LE.0.OR.M.LE.0
|
|
*
|
|
* Generate the matrix A.
|
|
*
|
|
TRANSL = ZERO
|
|
CALL SMAKE( SNAME( 8: 9 ), ' ', ' ', M, N, A, NMAX, AA,
|
|
$ LDA, KL, KU, RESET, TRANSL )
|
|
*
|
|
DO 90 IC = 1, 3
|
|
TRANS = ICH( IC: IC )
|
|
IF (TRANS.EQ.'N')THEN
|
|
CTRANS = ' CblasNoTrans'
|
|
ELSE IF (TRANS.EQ.'T')THEN
|
|
CTRANS = ' CblasTrans'
|
|
ELSE
|
|
CTRANS = 'CblasConjTrans'
|
|
END IF
|
|
TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C'
|
|
*
|
|
IF( TRAN )THEN
|
|
ML = N
|
|
NL = M
|
|
ELSE
|
|
ML = M
|
|
NL = N
|
|
END IF
|
|
*
|
|
DO 80 IX = 1, NINC
|
|
INCX = INC( IX )
|
|
LX = ABS( INCX )*NL
|
|
*
|
|
* Generate the vector X.
|
|
*
|
|
TRANSL = HALF
|
|
CALL SMAKE( 'ge', ' ', ' ', 1, NL, X, 1, XX,
|
|
$ ABS( INCX ), 0, NL - 1, RESET, TRANSL )
|
|
IF( NL.GT.1 )THEN
|
|
X( NL/2 ) = ZERO
|
|
XX( 1 + ABS( INCX )*( NL/2 - 1 ) ) = ZERO
|
|
END IF
|
|
*
|
|
DO 70 IY = 1, NINC
|
|
INCY = INC( IY )
|
|
LY = ABS( INCY )*ML
|
|
*
|
|
DO 60 IA = 1, NALF
|
|
ALPHA = ALF( IA )
|
|
*
|
|
DO 50 IB = 1, NBET
|
|
BETA = BET( IB )
|
|
*
|
|
* Generate the vector Y.
|
|
*
|
|
TRANSL = ZERO
|
|
CALL SMAKE( 'ge', ' ', ' ', 1, ML, Y, 1,
|
|
$ YY, ABS( INCY ), 0, ML - 1,
|
|
$ RESET, TRANSL )
|
|
*
|
|
NC = NC + 1
|
|
*
|
|
* Save every datum before calling the
|
|
* subroutine.
|
|
*
|
|
TRANSS = TRANS
|
|
MS = M
|
|
NS = N
|
|
KLS = KL
|
|
KUS = KU
|
|
ALS = ALPHA
|
|
DO 10 I = 1, LAA
|
|
AS( I ) = AA( I )
|
|
10 CONTINUE
|
|
LDAS = LDA
|
|
DO 20 I = 1, LX
|
|
XS( I ) = XX( I )
|
|
20 CONTINUE
|
|
INCXS = INCX
|
|
BLS = BETA
|
|
DO 30 I = 1, LY
|
|
YS( I ) = YY( I )
|
|
30 CONTINUE
|
|
INCYS = INCY
|
|
*
|
|
* Call the subroutine.
|
|
*
|
|
IF( FULL )THEN
|
|
IF( TRACE )
|
|
$ WRITE( NTRA, FMT = 9994 )NC, SNAME,
|
|
$ CTRANS, M, N, ALPHA, LDA, INCX,
|
|
$ BETA, INCY
|
|
IF( REWI )
|
|
$ REWIND NTRA
|
|
CALL CSGEMV( IORDER, TRANS, M, N,
|
|
$ ALPHA, AA, LDA, XX, INCX,
|
|
$ BETA, YY, INCY )
|
|
ELSE IF( BANDED )THEN
|
|
IF( TRACE )
|
|
$ WRITE( NTRA, FMT = 9995 )NC, SNAME,
|
|
$ CTRANS, M, N, KL, KU, ALPHA, LDA,
|
|
$ INCX, BETA, INCY
|
|
IF( REWI )
|
|
$ REWIND NTRA
|
|
CALL CSGBMV( IORDER, TRANS, M, N, KL,
|
|
$ KU, ALPHA, AA, LDA, XX,
|
|
$ INCX, BETA, YY, INCY )
|
|
END IF
|
|
*
|
|
* Check if error-exit was taken incorrectly.
|
|
*
|
|
IF( .NOT.OK )THEN
|
|
WRITE( NOUT, FMT = 9993 )
|
|
FATAL = .TRUE.
|
|
GO TO 130
|
|
END IF
|
|
*
|
|
* See what data changed inside subroutines.
|
|
*
|
|
ISAME( 1 ) = TRANS.EQ.TRANSS
|
|
ISAME( 2 ) = MS.EQ.M
|
|
ISAME( 3 ) = NS.EQ.N
|
|
IF( FULL )THEN
|
|
ISAME( 4 ) = ALS.EQ.ALPHA
|
|
ISAME( 5 ) = LSE( AS, AA, LAA )
|
|
ISAME( 6 ) = LDAS.EQ.LDA
|
|
ISAME( 7 ) = LSE( XS, XX, LX )
|
|
ISAME( 8 ) = INCXS.EQ.INCX
|
|
ISAME( 9 ) = BLS.EQ.BETA
|
|
IF( NULL )THEN
|
|
ISAME( 10 ) = LSE( YS, YY, LY )
|
|
ELSE
|
|
ISAME( 10 ) = LSERES( 'ge', ' ', 1,
|
|
$ ML, YS, YY,
|
|
$ ABS( INCY ) )
|
|
END IF
|
|
ISAME( 11 ) = INCYS.EQ.INCY
|
|
ELSE IF( BANDED )THEN
|
|
ISAME( 4 ) = KLS.EQ.KL
|
|
ISAME( 5 ) = KUS.EQ.KU
|
|
ISAME( 6 ) = ALS.EQ.ALPHA
|
|
ISAME( 7 ) = LSE( AS, AA, LAA )
|
|
ISAME( 8 ) = LDAS.EQ.LDA
|
|
ISAME( 9 ) = LSE( XS, XX, LX )
|
|
ISAME( 10 ) = INCXS.EQ.INCX
|
|
ISAME( 11 ) = BLS.EQ.BETA
|
|
IF( NULL )THEN
|
|
ISAME( 12 ) = LSE( YS, YY, LY )
|
|
ELSE
|
|
ISAME( 12 ) = LSERES( 'ge', ' ', 1,
|
|
$ ML, YS, YY,
|
|
$ ABS( INCY ) )
|
|
END IF
|
|
ISAME( 13 ) = INCYS.EQ.INCY
|
|
END IF
|
|
*
|
|
* 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 130
|
|
END IF
|
|
*
|
|
IF( .NOT.NULL )THEN
|
|
*
|
|
* Check the result.
|
|
*
|
|
CALL SMVCH( TRANS, M, N, ALPHA, A,
|
|
$ NMAX, X, INCX, BETA, Y,
|
|
$ INCY, YT, G, YY, EPS, ERR,
|
|
$ FATAL, NOUT, .TRUE. )
|
|
ERRMAX = MAX( ERRMAX, ERR )
|
|
* If got really bad answer, report and
|
|
* return.
|
|
IF( FATAL )
|
|
$ GO TO 130
|
|
ELSE
|
|
* Avoid repeating tests with M.le.0 or
|
|
* N.le.0.
|
|
GO TO 110
|
|
END IF
|
|
*
|
|
50 CONTINUE
|
|
*
|
|
60 CONTINUE
|
|
*
|
|
70 CONTINUE
|
|
*
|
|
80 CONTINUE
|
|
*
|
|
90 CONTINUE
|
|
*
|
|
100 CONTINUE
|
|
*
|
|
110 CONTINUE
|
|
*
|
|
120 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 140
|
|
*
|
|
130 CONTINUE
|
|
WRITE( NOUT, FMT = 9996 )SNAME
|
|
IF( FULL )THEN
|
|
WRITE( NOUT, FMT = 9994 )NC, SNAME, CTRANS, M, N, ALPHA, LDA,
|
|
$ INCX, BETA, INCY
|
|
ELSE IF( BANDED )THEN
|
|
WRITE( NOUT, FMT = 9995 )NC, SNAME, CTRANS, M, N, KL, KU,
|
|
$ ALPHA, LDA, INCX, BETA, INCY
|
|
END IF
|
|
*
|
|
140 CONTINUE
|
|
RETURN
|
|
*
|
|
10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
|
|
$ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
|
|
$ 'RATIO ', F8.2, ' - SUSPECT *******' )
|
|
10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
|
|
$ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
|
|
$ 'RATIO ', F8.2, ' - SUSPECT *******' )
|
|
10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
|
|
$ ' (', I6, ' CALL', 'S)' )
|
|
10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
|
|
$ ' (', I6, ' CALL', 'S)' )
|
|
9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
|
|
$ 'ANGED INCORRECTLY *******' )
|
|
9997 FORMAT( ' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
|
|
$ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
|
|
$ ' - SUSPECT *******' )
|
|
9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
|
|
9995 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 4( I3, ',' ), F4.1,
|
|
$ ', A,', I3, ',',/ 10x, 'X,', I2, ',', F4.1, ', Y,',
|
|
$ I2, ') .' )
|
|
9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 2( I3, ',' ), F4.1,
|
|
$ ', A,', I3, ', X,', I2, ',', F4.1, ', Y,', I2,
|
|
$ ') .' )
|
|
9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
|
|
$ '******' )
|
|
*
|
|
* End of SCHK1.
|
|
*
|
|
END
|
|
SUBROUTINE SCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
|
|
$ FATAL, NIDIM, IDIM, NKB, KB, NALF, ALF, NBET,
|
|
$ BET, NINC, INC, NMAX, INCMAX, A, AA, AS, X, XX,
|
|
$ XS, Y, YY, YS, YT, G, IORDER )
|
|
*
|
|
* Tests SSYMV, SSBMV and SSPMV.
|
|
*
|
|
* Auxiliary routine for test program for Level 2 Blas.
|
|
*
|
|
* -- Written on 10-August-1987.
|
|
* Richard Hanson, Sandia National Labs.
|
|
* Jeremy Du Croz, NAG Central Office.
|
|
*
|
|
* .. Parameters ..
|
|
REAL ZERO, HALF
|
|
PARAMETER ( ZERO = 0.0, HALF = 0.5 )
|
|
* .. Scalar Arguments ..
|
|
REAL EPS, THRESH
|
|
INTEGER INCMAX, NALF, NBET, NIDIM, NINC, NKB, NMAX,
|
|
$ NOUT, NTRA, IORDER
|
|
LOGICAL FATAL, REWI, TRACE
|
|
CHARACTER*12 SNAME
|
|
* .. Array Arguments ..
|
|
REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
|
|
$ AS( NMAX*NMAX ), BET( NBET ), G( NMAX ),
|
|
$ X( NMAX ), XS( NMAX*INCMAX ),
|
|
$ XX( NMAX*INCMAX ), Y( NMAX ),
|
|
$ YS( NMAX*INCMAX ), YT( NMAX ),
|
|
$ YY( NMAX*INCMAX )
|
|
INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
|
|
* .. Local Scalars ..
|
|
REAL ALPHA, ALS, BETA, BLS, ERR, ERRMAX, TRANSL
|
|
INTEGER I, IA, IB, IC, IK, IN, INCX, INCXS, INCY,
|
|
$ INCYS, IX, IY, K, KS, LAA, LDA, LDAS, LX, LY,
|
|
$ N, NARGS, NC, NK, NS
|
|
LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME
|
|
CHARACTER*1 UPLO, UPLOS
|
|
CHARACTER*14 CUPLO
|
|
CHARACTER*2 ICH
|
|
* .. Local Arrays ..
|
|
LOGICAL ISAME( 13 )
|
|
* .. External Functions ..
|
|
LOGICAL LSE, LSERES
|
|
EXTERNAL LSE, LSERES
|
|
* .. External Subroutines ..
|
|
EXTERNAL SMAKE, SMVCH, CSSBMV, CSSPMV, CSSYMV
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC ABS, MAX
|
|
* .. Scalars in Common ..
|
|
INTEGER INFOT, NOUTC
|
|
LOGICAL OK
|
|
* .. Common blocks ..
|
|
COMMON /INFOC/INFOT, NOUTC, OK
|
|
* .. Data statements ..
|
|
DATA ICH/'UL'/
|
|
* .. Executable Statements ..
|
|
FULL = SNAME( 9: 9 ).EQ.'y'
|
|
BANDED = SNAME( 9: 9 ).EQ.'b'
|
|
PACKED = SNAME( 9: 9 ).EQ.'p'
|
|
* Define the number of arguments.
|
|
IF( FULL )THEN
|
|
NARGS = 10
|
|
ELSE IF( BANDED )THEN
|
|
NARGS = 11
|
|
ELSE IF( PACKED )THEN
|
|
NARGS = 9
|
|
END IF
|
|
*
|
|
NC = 0
|
|
RESET = .TRUE.
|
|
ERRMAX = ZERO
|
|
*
|
|
DO 110 IN = 1, NIDIM
|
|
N = IDIM( IN )
|
|
*
|
|
IF( BANDED )THEN
|
|
NK = NKB
|
|
ELSE
|
|
NK = 1
|
|
END IF
|
|
DO 100 IK = 1, NK
|
|
IF( BANDED )THEN
|
|
K = KB( IK )
|
|
ELSE
|
|
K = N - 1
|
|
END IF
|
|
* Set LDA to 1 more than minimum value if room.
|
|
IF( BANDED )THEN
|
|
LDA = K + 1
|
|
ELSE
|
|
LDA = N
|
|
END IF
|
|
IF( LDA.LT.NMAX )
|
|
$ LDA = LDA + 1
|
|
* Skip tests if not enough room.
|
|
IF( LDA.GT.NMAX )
|
|
$ GO TO 100
|
|
IF( PACKED )THEN
|
|
LAA = ( N*( N + 1 ) )/2
|
|
ELSE
|
|
LAA = LDA*N
|
|
END IF
|
|
NULL = N.LE.0
|
|
*
|
|
DO 90 IC = 1, 2
|
|
UPLO = ICH( IC: IC )
|
|
IF (UPLO.EQ.'U')THEN
|
|
CUPLO = ' CblasUpper'
|
|
ELSE
|
|
CUPLO = ' CblasLower'
|
|
END IF
|
|
*
|
|
* Generate the matrix A.
|
|
*
|
|
TRANSL = ZERO
|
|
CALL SMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A, NMAX, AA,
|
|
$ LDA, K, K, RESET, TRANSL )
|
|
*
|
|
DO 80 IX = 1, NINC
|
|
INCX = INC( IX )
|
|
LX = ABS( INCX )*N
|
|
*
|
|
* Generate the vector X.
|
|
*
|
|
TRANSL = HALF
|
|
CALL SMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX,
|
|
$ ABS( INCX ), 0, N - 1, RESET, TRANSL )
|
|
IF( N.GT.1 )THEN
|
|
X( N/2 ) = ZERO
|
|
XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
|
|
END IF
|
|
*
|
|
DO 70 IY = 1, NINC
|
|
INCY = INC( IY )
|
|
LY = ABS( INCY )*N
|
|
*
|
|
DO 60 IA = 1, NALF
|
|
ALPHA = ALF( IA )
|
|
*
|
|
DO 50 IB = 1, NBET
|
|
BETA = BET( IB )
|
|
*
|
|
* Generate the vector Y.
|
|
*
|
|
TRANSL = ZERO
|
|
CALL SMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
|
|
$ ABS( INCY ), 0, N - 1, RESET,
|
|
$ TRANSL )
|
|
*
|
|
NC = NC + 1
|
|
*
|
|
* Save every datum before calling the
|
|
* subroutine.
|
|
*
|
|
UPLOS = UPLO
|
|
NS = N
|
|
KS = K
|
|
ALS = ALPHA
|
|
DO 10 I = 1, LAA
|
|
AS( I ) = AA( I )
|
|
10 CONTINUE
|
|
LDAS = LDA
|
|
DO 20 I = 1, LX
|
|
XS( I ) = XX( I )
|
|
20 CONTINUE
|
|
INCXS = INCX
|
|
BLS = BETA
|
|
DO 30 I = 1, LY
|
|
YS( I ) = YY( I )
|
|
30 CONTINUE
|
|
INCYS = INCY
|
|
*
|
|
* Call the subroutine.
|
|
*
|
|
IF( FULL )THEN
|
|
IF( TRACE )
|
|
$ WRITE( NTRA, FMT = 9993 )NC, SNAME,
|
|
$ CUPLO, N, ALPHA, LDA, INCX, BETA, INCY
|
|
IF( REWI )
|
|
$ REWIND NTRA
|
|
CALL CSSYMV( IORDER, UPLO, N, ALPHA, AA,
|
|
$ LDA, XX, INCX, BETA, YY, INCY )
|
|
ELSE IF( BANDED )THEN
|
|
IF( TRACE )
|
|
$ WRITE( NTRA, FMT = 9994 )NC, SNAME,
|
|
$ CUPLO, N, K, ALPHA, LDA, INCX, BETA,
|
|
$ INCY
|
|
IF( REWI )
|
|
$ REWIND NTRA
|
|
CALL CSSBMV( IORDER, UPLO, N, K, ALPHA,
|
|
$ AA, LDA, XX, INCX, BETA, YY,
|
|
$ INCY )
|
|
ELSE IF( PACKED )THEN
|
|
IF( TRACE )
|
|
$ WRITE( NTRA, FMT = 9995 )NC, SNAME,
|
|
$ CUPLO, N, ALPHA, INCX, BETA, INCY
|
|
IF( REWI )
|
|
$ REWIND NTRA
|
|
CALL CSSPMV( IORDER, UPLO, N, ALPHA, AA,
|
|
$ XX, INCX, BETA, YY, INCY )
|
|
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 ) = UPLO.EQ.UPLOS
|
|
ISAME( 2 ) = NS.EQ.N
|
|
IF( FULL )THEN
|
|
ISAME( 3 ) = ALS.EQ.ALPHA
|
|
ISAME( 4 ) = LSE( AS, AA, LAA )
|
|
ISAME( 5 ) = LDAS.EQ.LDA
|
|
ISAME( 6 ) = LSE( XS, XX, LX )
|
|
ISAME( 7 ) = INCXS.EQ.INCX
|
|
ISAME( 8 ) = BLS.EQ.BETA
|
|
IF( NULL )THEN
|
|
ISAME( 9 ) = LSE( YS, YY, LY )
|
|
ELSE
|
|
ISAME( 9 ) = LSERES( 'ge', ' ', 1, N,
|
|
$ YS, YY, ABS( INCY ) )
|
|
END IF
|
|
ISAME( 10 ) = INCYS.EQ.INCY
|
|
ELSE IF( BANDED )THEN
|
|
ISAME( 3 ) = KS.EQ.K
|
|
ISAME( 4 ) = ALS.EQ.ALPHA
|
|
ISAME( 5 ) = LSE( AS, AA, LAA )
|
|
ISAME( 6 ) = LDAS.EQ.LDA
|
|
ISAME( 7 ) = LSE( XS, XX, LX )
|
|
ISAME( 8 ) = INCXS.EQ.INCX
|
|
ISAME( 9 ) = BLS.EQ.BETA
|
|
IF( NULL )THEN
|
|
ISAME( 10 ) = LSE( YS, YY, LY )
|
|
ELSE
|
|
ISAME( 10 ) = LSERES( 'ge', ' ', 1, N,
|
|
$ YS, YY, ABS( INCY ) )
|
|
END IF
|
|
ISAME( 11 ) = INCYS.EQ.INCY
|
|
ELSE IF( PACKED )THEN
|
|
ISAME( 3 ) = ALS.EQ.ALPHA
|
|
ISAME( 4 ) = LSE( AS, AA, LAA )
|
|
ISAME( 5 ) = LSE( XS, XX, LX )
|
|
ISAME( 6 ) = INCXS.EQ.INCX
|
|
ISAME( 7 ) = BLS.EQ.BETA
|
|
IF( NULL )THEN
|
|
ISAME( 8 ) = LSE( YS, YY, LY )
|
|
ELSE
|
|
ISAME( 8 ) = LSERES( 'ge', ' ', 1, N,
|
|
$ YS, YY, ABS( INCY ) )
|
|
END IF
|
|
ISAME( 9 ) = INCYS.EQ.INCY
|
|
END IF
|
|
*
|
|
* 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 SMVCH( 'N', N, N, ALPHA, A, NMAX, X,
|
|
$ INCX, BETA, Y, INCY, YT, G,
|
|
$ YY, EPS, ERR, FATAL, NOUT,
|
|
$ .TRUE. )
|
|
ERRMAX = MAX( ERRMAX, ERR )
|
|
* If got really bad answer, report and
|
|
* return.
|
|
IF( FATAL )
|
|
$ GO TO 120
|
|
ELSE
|
|
* Avoid repeating tests with N.le.0
|
|
GO TO 110
|
|
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
|
|
IF( FULL )THEN
|
|
WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, ALPHA, LDA,
|
|
$ INCX, BETA, INCY
|
|
ELSE IF( BANDED )THEN
|
|
WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, K, ALPHA, LDA,
|
|
$ INCX, BETA, INCY
|
|
ELSE IF( PACKED )THEN
|
|
WRITE( NOUT, FMT = 9995 )NC, SNAME, CUPLO, N, ALPHA, INCX,
|
|
$ BETA, INCY
|
|
END IF
|
|
*
|
|
130 CONTINUE
|
|
RETURN
|
|
*
|
|
10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
|
|
$ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
|
|
$ 'RATIO ', F8.2, ' - SUSPECT *******' )
|
|
10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
|
|
$ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
|
|
$ 'RATIO ', F8.2, ' - SUSPECT *******' )
|
|
10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
|
|
$ ' (', I6, ' CALL', 'S)' )
|
|
10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
|
|
$ ' (', I6, ' CALL', 'S)' )
|
|
9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
|
|
$ 'ANGED INCORRECTLY *******' )
|
|
9997 FORMAT( ' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
|
|
$ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
|
|
$ ' - SUSPECT *******' )
|
|
9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
|
|
9995 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', AP',
|
|
$ ', X,', I2, ',', F4.1, ', Y,', I2, ') .' )
|
|
9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', 2( I3, ',' ), F4.1,
|
|
$ ', A,', I3, ', X,', I2, ',', F4.1, ', Y,', I2,
|
|
$ ') .' )
|
|
9993 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', A,',
|
|
$ I3, ', X,', I2, ',', F4.1, ', Y,', I2, ') .' )
|
|
9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
|
|
$ '******' )
|
|
*
|
|
* End of SCHK2.
|
|
*
|
|
END
|
|
SUBROUTINE SCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
|
|
$ FATAL, NIDIM, IDIM, NKB, KB, NINC, INC, NMAX,
|
|
$ INCMAX, A, AA, AS, X, XX, XS, XT, G, Z, IORDER )
|
|
*
|
|
* Tests STRMV, STBMV, STPMV, STRSV, STBSV and STPSV.
|
|
*
|
|
* Auxiliary routine for test program for Level 2 Blas.
|
|
*
|
|
* -- Written on 10-August-1987.
|
|
* Richard Hanson, Sandia National Labs.
|
|
* Jeremy Du Croz, NAG Central Office.
|
|
*
|
|
* .. Parameters ..
|
|
REAL ZERO, HALF, ONE
|
|
PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 )
|
|
* .. Scalar Arguments ..
|
|
REAL EPS, THRESH
|
|
INTEGER INCMAX, NIDIM, NINC, NKB, NMAX, NOUT, NTRA,
|
|
$ IORDER
|
|
LOGICAL FATAL, REWI, TRACE
|
|
CHARACTER*12 SNAME
|
|
* .. Array Arguments ..
|
|
REAL A( NMAX, NMAX ), AA( NMAX*NMAX ),
|
|
$ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ),
|
|
$ XS( NMAX*INCMAX ), XT( NMAX ),
|
|
$ XX( NMAX*INCMAX ), Z( NMAX )
|
|
INTEGER IDIM( NIDIM ), INC( NINC ), KB( NKB )
|
|
* .. Local Scalars ..
|
|
REAL ERR, ERRMAX, TRANSL
|
|
INTEGER I, ICD, ICT, ICU, IK, IN, INCX, INCXS, IX, K,
|
|
$ KS, LAA, LDA, LDAS, LX, N, NARGS, NC, NK, NS
|
|
LOGICAL BANDED, FULL, NULL, PACKED, RESET, SAME
|
|
CHARACTER*1 DIAG, DIAGS, TRANS, TRANSS, UPLO, UPLOS
|
|
CHARACTER*14 CUPLO,CTRANS,CDIAG
|
|
CHARACTER*2 ICHD, ICHU
|
|
CHARACTER*3 ICHT
|
|
* .. Local Arrays ..
|
|
LOGICAL ISAME( 13 )
|
|
* .. External Functions ..
|
|
LOGICAL LSE, LSERES
|
|
EXTERNAL LSE, LSERES
|
|
* .. External Subroutines ..
|
|
EXTERNAL SMAKE, SMVCH, CSTBMV, CSTBSV, CSTPMV,
|
|
$ CSTPSV, CSTRMV, CSTRSV
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC ABS, MAX
|
|
* .. Scalars in Common ..
|
|
INTEGER INFOT, NOUTC
|
|
LOGICAL OK
|
|
* .. Common blocks ..
|
|
COMMON /INFOC/INFOT, NOUTC, OK
|
|
* .. Data statements ..
|
|
DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/
|
|
* .. Executable Statements ..
|
|
FULL = SNAME( 9: 9 ).EQ.'r'
|
|
BANDED = SNAME( 9: 9 ).EQ.'b'
|
|
PACKED = SNAME( 9: 9 ).EQ.'p'
|
|
* Define the number of arguments.
|
|
IF( FULL )THEN
|
|
NARGS = 8
|
|
ELSE IF( BANDED )THEN
|
|
NARGS = 9
|
|
ELSE IF( PACKED )THEN
|
|
NARGS = 7
|
|
END IF
|
|
*
|
|
NC = 0
|
|
RESET = .TRUE.
|
|
ERRMAX = ZERO
|
|
* Set up zero vector for SMVCH.
|
|
DO 10 I = 1, NMAX
|
|
Z( I ) = ZERO
|
|
10 CONTINUE
|
|
*
|
|
DO 110 IN = 1, NIDIM
|
|
N = IDIM( IN )
|
|
*
|
|
IF( BANDED )THEN
|
|
NK = NKB
|
|
ELSE
|
|
NK = 1
|
|
END IF
|
|
DO 100 IK = 1, NK
|
|
IF( BANDED )THEN
|
|
K = KB( IK )
|
|
ELSE
|
|
K = N - 1
|
|
END IF
|
|
* Set LDA to 1 more than minimum value if room.
|
|
IF( BANDED )THEN
|
|
LDA = K + 1
|
|
ELSE
|
|
LDA = N
|
|
END IF
|
|
IF( LDA.LT.NMAX )
|
|
$ LDA = LDA + 1
|
|
* Skip tests if not enough room.
|
|
IF( LDA.GT.NMAX )
|
|
$ GO TO 100
|
|
IF( PACKED )THEN
|
|
LAA = ( N*( N + 1 ) )/2
|
|
ELSE
|
|
LAA = LDA*N
|
|
END IF
|
|
NULL = N.LE.0
|
|
*
|
|
DO 90 ICU = 1, 2
|
|
UPLO = ICHU( ICU: ICU )
|
|
IF (UPLO.EQ.'U')THEN
|
|
CUPLO = ' CblasUpper'
|
|
ELSE
|
|
CUPLO = ' CblasLower'
|
|
END IF
|
|
*
|
|
DO 80 ICT = 1, 3
|
|
TRANS = ICHT( ICT: ICT )
|
|
IF (TRANS.EQ.'N')THEN
|
|
CTRANS = ' CblasNoTrans'
|
|
ELSE IF (TRANS.EQ.'T')THEN
|
|
CTRANS = ' CblasTrans'
|
|
ELSE
|
|
CTRANS = 'CblasConjTrans'
|
|
END IF
|
|
*
|
|
DO 70 ICD = 1, 2
|
|
DIAG = ICHD( ICD: ICD )
|
|
IF (DIAG.EQ.'N')THEN
|
|
CDIAG = ' CblasNonUnit'
|
|
ELSE
|
|
CDIAG = ' CblasUnit'
|
|
END IF
|
|
*
|
|
* Generate the matrix A.
|
|
*
|
|
TRANSL = ZERO
|
|
CALL SMAKE( SNAME( 8: 9 ), UPLO, DIAG, N, N, A,
|
|
$ NMAX, AA, LDA, K, K, RESET, TRANSL )
|
|
*
|
|
DO 60 IX = 1, NINC
|
|
INCX = INC( IX )
|
|
LX = ABS( INCX )*N
|
|
*
|
|
* Generate the vector X.
|
|
*
|
|
TRANSL = HALF
|
|
CALL SMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX,
|
|
$ ABS( INCX ), 0, N - 1, RESET,
|
|
$ TRANSL )
|
|
IF( N.GT.1 )THEN
|
|
X( N/2 ) = ZERO
|
|
XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
|
|
END IF
|
|
*
|
|
NC = NC + 1
|
|
*
|
|
* Save every datum before calling the subroutine.
|
|
*
|
|
UPLOS = UPLO
|
|
TRANSS = TRANS
|
|
DIAGS = DIAG
|
|
NS = N
|
|
KS = K
|
|
DO 20 I = 1, LAA
|
|
AS( I ) = AA( I )
|
|
20 CONTINUE
|
|
LDAS = LDA
|
|
DO 30 I = 1, LX
|
|
XS( I ) = XX( I )
|
|
30 CONTINUE
|
|
INCXS = INCX
|
|
*
|
|
* Call the subroutine.
|
|
*
|
|
IF( SNAME( 10: 11 ).EQ.'mv' )THEN
|
|
IF( FULL )THEN
|
|
IF( TRACE )
|
|
$ WRITE( NTRA, FMT = 9993 )NC, SNAME,
|
|
$ CUPLO, CTRANS, CDIAG, N, LDA, INCX
|
|
IF( REWI )
|
|
$ REWIND NTRA
|
|
CALL CSTRMV( IORDER, UPLO, TRANS, DIAG,
|
|
$ N, AA, LDA, XX, INCX )
|
|
ELSE IF( BANDED )THEN
|
|
IF( TRACE )
|
|
$ WRITE( NTRA, FMT = 9994 )NC, SNAME,
|
|
$ CUPLO, CTRANS, CDIAG, N, K, LDA, INCX
|
|
IF( REWI )
|
|
$ REWIND NTRA
|
|
CALL CSTBMV( IORDER, UPLO, TRANS, DIAG,
|
|
$ N, K, AA, LDA, XX, INCX )
|
|
ELSE IF( PACKED )THEN
|
|
IF( TRACE )
|
|
$ WRITE( NTRA, FMT = 9995 )NC, SNAME,
|
|
$ CUPLO, CTRANS, CDIAG, N, INCX
|
|
IF( REWI )
|
|
$ REWIND NTRA
|
|
CALL CSTPMV( IORDER, UPLO, TRANS, DIAG,
|
|
$ N, AA, XX, INCX )
|
|
END IF
|
|
ELSE IF( SNAME( 10: 11 ).EQ.'sv' )THEN
|
|
IF( FULL )THEN
|
|
IF( TRACE )
|
|
$ WRITE( NTRA, FMT = 9993 )NC, SNAME,
|
|
$ CUPLO, CTRANS, CDIAG, N, LDA, INCX
|
|
IF( REWI )
|
|
$ REWIND NTRA
|
|
CALL CSTRSV( IORDER, UPLO, TRANS, DIAG,
|
|
$ N, AA, LDA, XX, INCX )
|
|
ELSE IF( BANDED )THEN
|
|
IF( TRACE )
|
|
$ WRITE( NTRA, FMT = 9994 )NC, SNAME,
|
|
$ CUPLO, CTRANS, CDIAG, N, K, LDA, INCX
|
|
IF( REWI )
|
|
$ REWIND NTRA
|
|
CALL CSTBSV( IORDER, UPLO, TRANS, DIAG,
|
|
$ N, K, AA, LDA, XX, INCX )
|
|
ELSE IF( PACKED )THEN
|
|
IF( TRACE )
|
|
$ WRITE( NTRA, FMT = 9995 )NC, SNAME,
|
|
$ CUPLO, CTRANS, CDIAG, N, INCX
|
|
IF( REWI )
|
|
$ REWIND NTRA
|
|
CALL CSTPSV( IORDER, UPLO, TRANS, DIAG,
|
|
$ N, AA, XX, INCX )
|
|
END IF
|
|
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 ) = UPLO.EQ.UPLOS
|
|
ISAME( 2 ) = TRANS.EQ.TRANSS
|
|
ISAME( 3 ) = DIAG.EQ.DIAGS
|
|
ISAME( 4 ) = NS.EQ.N
|
|
IF( FULL )THEN
|
|
ISAME( 5 ) = LSE( AS, AA, LAA )
|
|
ISAME( 6 ) = LDAS.EQ.LDA
|
|
IF( NULL )THEN
|
|
ISAME( 7 ) = LSE( XS, XX, LX )
|
|
ELSE
|
|
ISAME( 7 ) = LSERES( 'ge', ' ', 1, N, XS,
|
|
$ XX, ABS( INCX ) )
|
|
END IF
|
|
ISAME( 8 ) = INCXS.EQ.INCX
|
|
ELSE IF( BANDED )THEN
|
|
ISAME( 5 ) = KS.EQ.K
|
|
ISAME( 6 ) = LSE( AS, AA, LAA )
|
|
ISAME( 7 ) = LDAS.EQ.LDA
|
|
IF( NULL )THEN
|
|
ISAME( 8 ) = LSE( XS, XX, LX )
|
|
ELSE
|
|
ISAME( 8 ) = LSERES( 'ge', ' ', 1, N, XS,
|
|
$ XX, ABS( INCX ) )
|
|
END IF
|
|
ISAME( 9 ) = INCXS.EQ.INCX
|
|
ELSE IF( PACKED )THEN
|
|
ISAME( 5 ) = LSE( AS, AA, LAA )
|
|
IF( NULL )THEN
|
|
ISAME( 6 ) = LSE( XS, XX, LX )
|
|
ELSE
|
|
ISAME( 6 ) = LSERES( 'ge', ' ', 1, N, XS,
|
|
$ XX, ABS( INCX ) )
|
|
END IF
|
|
ISAME( 7 ) = INCXS.EQ.INCX
|
|
END IF
|
|
*
|
|
* 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
|
|
IF( SNAME( 10: 11 ).EQ.'mv' )THEN
|
|
*
|
|
* Check the result.
|
|
*
|
|
CALL SMVCH( TRANS, N, N, ONE, A, NMAX, X,
|
|
$ INCX, ZERO, Z, INCX, XT, G,
|
|
$ XX, EPS, ERR, FATAL, NOUT,
|
|
$ .TRUE. )
|
|
ELSE IF( SNAME( 10: 11 ).EQ.'sv' )THEN
|
|
*
|
|
* Compute approximation to original vector.
|
|
*
|
|
DO 50 I = 1, N
|
|
Z( I ) = XX( 1 + ( I - 1 )*
|
|
$ ABS( INCX ) )
|
|
XX( 1 + ( I - 1 )*ABS( INCX ) )
|
|
$ = X( I )
|
|
50 CONTINUE
|
|
CALL SMVCH( TRANS, N, N, ONE, A, NMAX, Z,
|
|
$ INCX, ZERO, X, INCX, XT, G,
|
|
$ XX, EPS, ERR, FATAL, NOUT,
|
|
$ .FALSE. )
|
|
END IF
|
|
ERRMAX = MAX( ERRMAX, ERR )
|
|
* If got really bad answer, report and return.
|
|
IF( FATAL )
|
|
$ GO TO 120
|
|
ELSE
|
|
* Avoid repeating tests with N.le.0.
|
|
GO TO 110
|
|
END IF
|
|
*
|
|
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
|
|
IF( FULL )THEN
|
|
WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
|
|
$ LDA, INCX
|
|
ELSE IF( BANDED )THEN
|
|
WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
|
|
$ K, LDA, INCX
|
|
ELSE IF( PACKED )THEN
|
|
WRITE( NOUT, FMT = 9995 )NC, SNAME, CUPLO, CTRANS, CDIAG, N,
|
|
$ INCX
|
|
END IF
|
|
*
|
|
130 CONTINUE
|
|
RETURN
|
|
*
|
|
10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
|
|
$ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
|
|
$ 'RATIO ', F8.2, ' - SUSPECT *******' )
|
|
10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
|
|
$ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
|
|
$ 'RATIO ', F8.2, ' - SUSPECT *******' )
|
|
10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
|
|
$ ' (', I6, ' CALL', 'S)' )
|
|
10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
|
|
$ ' (', I6, ' CALL', 'S)' )
|
|
9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
|
|
$ 'ANGED INCORRECTLY *******' )
|
|
9997 FORMAT( ' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
|
|
$ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
|
|
$ ' - SUSPECT *******' )
|
|
9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
|
|
9995 FORMAT( 1X, I6, ': ',A12, '(', 3( A14,',' ),/ 10x, I3, ', AP, ',
|
|
$ 'X,', I2, ') .' )
|
|
9994 FORMAT( 1X, I6, ': ',A12, '(', 3( A14,',' ),/ 10x, 2( I3, ',' ),
|
|
$ ' A,', I3, ', X,', I2, ') .' )
|
|
9993 FORMAT( 1X, I6, ': ',A12, '(', 3( A14,',' ),/ 10x, I3, ', A,',
|
|
$ I3, ', X,', I2, ') .' )
|
|
9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
|
|
$ '******' )
|
|
*
|
|
* End of SCHK3.
|
|
*
|
|
END
|
|
SUBROUTINE SCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
|
|
$ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
|
|
$ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
|
|
$ Z, IORDER )
|
|
*
|
|
* Tests SGER.
|
|
*
|
|
* Auxiliary routine for test program for Level 2 Blas.
|
|
*
|
|
* -- Written on 10-August-1987.
|
|
* Richard Hanson, Sandia National Labs.
|
|
* Jeremy Du Croz, NAG Central Office.
|
|
*
|
|
* .. Parameters ..
|
|
REAL ZERO, HALF, ONE
|
|
PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 )
|
|
* .. Scalar Arguments ..
|
|
REAL EPS, THRESH
|
|
INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
|
|
$ IORDER
|
|
LOGICAL FATAL, REWI, TRACE
|
|
CHARACTER*12 SNAME
|
|
* .. Array Arguments ..
|
|
REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
|
|
$ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ),
|
|
$ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
|
|
$ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
|
|
$ YY( NMAX*INCMAX ), Z( NMAX )
|
|
INTEGER IDIM( NIDIM ), INC( NINC )
|
|
* .. Local Scalars ..
|
|
REAL ALPHA, ALS, ERR, ERRMAX, TRANSL
|
|
INTEGER I, IA, IM, IN, INCX, INCXS, INCY, INCYS, IX,
|
|
$ IY, J, LAA, LDA, LDAS, LX, LY, M, MS, N, NARGS,
|
|
$ NC, ND, NS
|
|
LOGICAL NULL, RESET, SAME
|
|
* .. Local Arrays ..
|
|
REAL W( 1 )
|
|
LOGICAL ISAME( 13 )
|
|
* .. External Functions ..
|
|
LOGICAL LSE, LSERES
|
|
EXTERNAL LSE, LSERES
|
|
* .. External Subroutines ..
|
|
EXTERNAL CSGER, SMAKE, SMVCH
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC ABS, MAX, MIN
|
|
* .. Scalars in Common ..
|
|
INTEGER INFOT, NOUTC
|
|
LOGICAL OK
|
|
* .. Common blocks ..
|
|
COMMON /INFOC/INFOT, NOUTC, OK
|
|
* .. Executable Statements ..
|
|
* Define the number of arguments.
|
|
NARGS = 9
|
|
*
|
|
NC = 0
|
|
RESET = .TRUE.
|
|
ERRMAX = ZERO
|
|
*
|
|
DO 120 IN = 1, NIDIM
|
|
N = IDIM( IN )
|
|
ND = N/2 + 1
|
|
*
|
|
DO 110 IM = 1, 2
|
|
IF( IM.EQ.1 )
|
|
$ M = MAX( N - ND, 0 )
|
|
IF( IM.EQ.2 )
|
|
$ M = MIN( N + ND, NMAX )
|
|
*
|
|
* Set LDA to 1 more than minimum value if room.
|
|
LDA = M
|
|
IF( LDA.LT.NMAX )
|
|
$ LDA = LDA + 1
|
|
* Skip tests if not enough room.
|
|
IF( LDA.GT.NMAX )
|
|
$ GO TO 110
|
|
LAA = LDA*N
|
|
NULL = N.LE.0.OR.M.LE.0
|
|
*
|
|
DO 100 IX = 1, NINC
|
|
INCX = INC( IX )
|
|
LX = ABS( INCX )*M
|
|
*
|
|
* Generate the vector X.
|
|
*
|
|
TRANSL = HALF
|
|
CALL SMAKE( 'ge', ' ', ' ', 1, M, X, 1, XX, ABS( INCX ),
|
|
$ 0, M - 1, RESET, TRANSL )
|
|
IF( M.GT.1 )THEN
|
|
X( M/2 ) = ZERO
|
|
XX( 1 + ABS( INCX )*( M/2 - 1 ) ) = ZERO
|
|
END IF
|
|
*
|
|
DO 90 IY = 1, NINC
|
|
INCY = INC( IY )
|
|
LY = ABS( INCY )*N
|
|
*
|
|
* Generate the vector Y.
|
|
*
|
|
TRANSL = ZERO
|
|
CALL SMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
|
|
$ ABS( INCY ), 0, N - 1, RESET, TRANSL )
|
|
IF( N.GT.1 )THEN
|
|
Y( N/2 ) = ZERO
|
|
YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO
|
|
END IF
|
|
*
|
|
DO 80 IA = 1, NALF
|
|
ALPHA = ALF( IA )
|
|
*
|
|
* Generate the matrix A.
|
|
*
|
|
TRANSL = ZERO
|
|
CALL SMAKE( SNAME( 8: 9 ), ' ', ' ', M, N, A, NMAX,
|
|
$ AA, LDA, M - 1, N - 1, RESET, TRANSL )
|
|
*
|
|
NC = NC + 1
|
|
*
|
|
* Save every datum before calling the subroutine.
|
|
*
|
|
MS = M
|
|
NS = N
|
|
ALS = ALPHA
|
|
DO 10 I = 1, LAA
|
|
AS( I ) = AA( I )
|
|
10 CONTINUE
|
|
LDAS = LDA
|
|
DO 20 I = 1, LX
|
|
XS( I ) = XX( I )
|
|
20 CONTINUE
|
|
INCXS = INCX
|
|
DO 30 I = 1, LY
|
|
YS( I ) = YY( I )
|
|
30 CONTINUE
|
|
INCYS = INCY
|
|
*
|
|
* Call the subroutine.
|
|
*
|
|
IF( TRACE )
|
|
$ WRITE( NTRA, FMT = 9994 )NC, SNAME, M, N,
|
|
$ ALPHA, INCX, INCY, LDA
|
|
IF( REWI )
|
|
$ REWIND NTRA
|
|
CALL CSGER( IORDER, M, N, ALPHA, XX, INCX, YY,
|
|
$ INCY, AA, LDA )
|
|
*
|
|
* Check if error-exit was taken incorrectly.
|
|
*
|
|
IF( .NOT.OK )THEN
|
|
WRITE( NOUT, FMT = 9993 )
|
|
FATAL = .TRUE.
|
|
GO TO 140
|
|
END IF
|
|
*
|
|
* See what data changed inside subroutine.
|
|
*
|
|
ISAME( 1 ) = MS.EQ.M
|
|
ISAME( 2 ) = NS.EQ.N
|
|
ISAME( 3 ) = ALS.EQ.ALPHA
|
|
ISAME( 4 ) = LSE( XS, XX, LX )
|
|
ISAME( 5 ) = INCXS.EQ.INCX
|
|
ISAME( 6 ) = LSE( YS, YY, LY )
|
|
ISAME( 7 ) = INCYS.EQ.INCY
|
|
IF( NULL )THEN
|
|
ISAME( 8 ) = LSE( AS, AA, LAA )
|
|
ELSE
|
|
ISAME( 8 ) = LSERES( 'ge', ' ', M, N, AS, AA,
|
|
$ LDA )
|
|
END IF
|
|
ISAME( 9 ) = LDAS.EQ.LDA
|
|
*
|
|
* 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 140
|
|
END IF
|
|
*
|
|
IF( .NOT.NULL )THEN
|
|
*
|
|
* Check the result column by column.
|
|
*
|
|
IF( INCX.GT.0 )THEN
|
|
DO 50 I = 1, M
|
|
Z( I ) = X( I )
|
|
50 CONTINUE
|
|
ELSE
|
|
DO 60 I = 1, M
|
|
Z( I ) = X( M - I + 1 )
|
|
60 CONTINUE
|
|
END IF
|
|
DO 70 J = 1, N
|
|
IF( INCY.GT.0 )THEN
|
|
W( 1 ) = Y( J )
|
|
ELSE
|
|
W( 1 ) = Y( N - J + 1 )
|
|
END IF
|
|
CALL SMVCH( 'N', M, 1, ALPHA, Z, NMAX, W, 1,
|
|
$ ONE, A( 1, J ), 1, YT, G,
|
|
$ AA( 1 + ( J - 1 )*LDA ), EPS,
|
|
$ ERR, FATAL, NOUT, .TRUE. )
|
|
ERRMAX = MAX( ERRMAX, ERR )
|
|
* If got really bad answer, report and return.
|
|
IF( FATAL )
|
|
$ GO TO 130
|
|
70 CONTINUE
|
|
ELSE
|
|
* Avoid repeating tests with M.le.0 or N.le.0.
|
|
GO TO 110
|
|
END IF
|
|
*
|
|
80 CONTINUE
|
|
*
|
|
90 CONTINUE
|
|
*
|
|
100 CONTINUE
|
|
*
|
|
110 CONTINUE
|
|
*
|
|
120 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 150
|
|
*
|
|
130 CONTINUE
|
|
WRITE( NOUT, FMT = 9995 )J
|
|
*
|
|
140 CONTINUE
|
|
WRITE( NOUT, FMT = 9996 )SNAME
|
|
WRITE( NOUT, FMT = 9994 )NC, SNAME, M, N, ALPHA, INCX, INCY, LDA
|
|
*
|
|
150 CONTINUE
|
|
RETURN
|
|
*
|
|
10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
|
|
$ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
|
|
$ 'RATIO ', F8.2, ' - SUSPECT *******' )
|
|
10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
|
|
$ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
|
|
$ 'RATIO ', F8.2, ' - SUSPECT *******' )
|
|
10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
|
|
$ ' (', I6, ' CALL', 'S)' )
|
|
10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
|
|
$ ' (', I6, ' CALL', 'S)' )
|
|
9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
|
|
$ 'ANGED INCORRECTLY *******' )
|
|
9997 FORMAT( ' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
|
|
$ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
|
|
$ ' - SUSPECT *******' )
|
|
9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
|
|
9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
|
|
9994 FORMAT( 1X, I6, ': ',A12, '(', 2( I3, ',' ), F4.1, ', X,', I2,
|
|
$ ', Y,', I2, ', A,', I3, ') .' )
|
|
9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
|
|
$ '******' )
|
|
*
|
|
* End of SCHK4.
|
|
*
|
|
END
|
|
SUBROUTINE SCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
|
|
$ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
|
|
$ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
|
|
$ Z, IORDER )
|
|
*
|
|
* Tests SSYR and SSPR.
|
|
*
|
|
* Auxiliary routine for test program for Level 2 Blas.
|
|
*
|
|
* -- Written on 10-August-1987.
|
|
* Richard Hanson, Sandia National Labs.
|
|
* Jeremy Du Croz, NAG Central Office.
|
|
*
|
|
* .. Parameters ..
|
|
REAL ZERO, HALF, ONE
|
|
PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 )
|
|
* .. Scalar Arguments ..
|
|
REAL EPS, THRESH
|
|
INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
|
|
$ IORDER
|
|
LOGICAL FATAL, REWI, TRACE
|
|
CHARACTER*12 SNAME
|
|
* .. Array Arguments ..
|
|
REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
|
|
$ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ),
|
|
$ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
|
|
$ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
|
|
$ YY( NMAX*INCMAX ), Z( NMAX )
|
|
INTEGER IDIM( NIDIM ), INC( NINC )
|
|
* .. Local Scalars ..
|
|
REAL ALPHA, ALS, ERR, ERRMAX, TRANSL
|
|
INTEGER I, IA, IC, IN, INCX, INCXS, IX, J, JA, JJ, LAA,
|
|
$ LDA, LDAS, LJ, LX, N, NARGS, NC, NS
|
|
LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER
|
|
CHARACTER*1 UPLO, UPLOS
|
|
CHARACTER*14 CUPLO
|
|
CHARACTER*2 ICH
|
|
* .. Local Arrays ..
|
|
REAL W( 1 )
|
|
LOGICAL ISAME( 13 )
|
|
* .. External Functions ..
|
|
LOGICAL LSE, LSERES
|
|
EXTERNAL LSE, LSERES
|
|
* .. External Subroutines ..
|
|
EXTERNAL SMAKE, SMVCH, CSSPR, CSSYR
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC ABS, MAX
|
|
* .. Scalars in Common ..
|
|
INTEGER INFOT, NOUTC
|
|
LOGICAL OK
|
|
* .. Common blocks ..
|
|
COMMON /INFOC/INFOT, NOUTC, OK
|
|
* .. Data statements ..
|
|
DATA ICH/'UL'/
|
|
* .. Executable Statements ..
|
|
FULL = SNAME( 9: 9 ).EQ.'y'
|
|
PACKED = SNAME( 9: 9 ).EQ.'p'
|
|
* Define the number of arguments.
|
|
IF( FULL )THEN
|
|
NARGS = 7
|
|
ELSE IF( PACKED )THEN
|
|
NARGS = 6
|
|
END IF
|
|
*
|
|
NC = 0
|
|
RESET = .TRUE.
|
|
ERRMAX = ZERO
|
|
*
|
|
DO 100 IN = 1, NIDIM
|
|
N = IDIM( IN )
|
|
* Set LDA to 1 more than minimum value if room.
|
|
LDA = N
|
|
IF( LDA.LT.NMAX )
|
|
$ LDA = LDA + 1
|
|
* Skip tests if not enough room.
|
|
IF( LDA.GT.NMAX )
|
|
$ GO TO 100
|
|
IF( PACKED )THEN
|
|
LAA = ( N*( N + 1 ) )/2
|
|
ELSE
|
|
LAA = LDA*N
|
|
END IF
|
|
*
|
|
DO 90 IC = 1, 2
|
|
UPLO = ICH( IC: IC )
|
|
IF (UPLO.EQ.'U')THEN
|
|
CUPLO = ' CblasUpper'
|
|
ELSE
|
|
CUPLO = ' CblasLower'
|
|
END IF
|
|
UPPER = UPLO.EQ.'U'
|
|
*
|
|
DO 80 IX = 1, NINC
|
|
INCX = INC( IX )
|
|
LX = ABS( INCX )*N
|
|
*
|
|
* Generate the vector X.
|
|
*
|
|
TRANSL = HALF
|
|
CALL SMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ),
|
|
$ 0, N - 1, RESET, TRANSL )
|
|
IF( N.GT.1 )THEN
|
|
X( N/2 ) = ZERO
|
|
XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
|
|
END IF
|
|
*
|
|
DO 70 IA = 1, NALF
|
|
ALPHA = ALF( IA )
|
|
NULL = N.LE.0.OR.ALPHA.EQ.ZERO
|
|
*
|
|
* Generate the matrix A.
|
|
*
|
|
TRANSL = ZERO
|
|
CALL SMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A, NMAX,
|
|
$ AA, LDA, N - 1, N - 1, RESET, TRANSL )
|
|
*
|
|
NC = NC + 1
|
|
*
|
|
* Save every datum before calling the subroutine.
|
|
*
|
|
UPLOS = UPLO
|
|
NS = N
|
|
ALS = ALPHA
|
|
DO 10 I = 1, LAA
|
|
AS( I ) = AA( I )
|
|
10 CONTINUE
|
|
LDAS = LDA
|
|
DO 20 I = 1, LX
|
|
XS( I ) = XX( I )
|
|
20 CONTINUE
|
|
INCXS = INCX
|
|
*
|
|
* Call the subroutine.
|
|
*
|
|
IF( FULL )THEN
|
|
IF( TRACE )
|
|
$ WRITE( NTRA, FMT = 9993 )NC, SNAME, CUPLO, N,
|
|
$ ALPHA, INCX, LDA
|
|
IF( REWI )
|
|
$ REWIND NTRA
|
|
CALL CSSYR( IORDER, UPLO, N, ALPHA, XX, INCX,
|
|
$ AA, LDA )
|
|
ELSE IF( PACKED )THEN
|
|
IF( TRACE )
|
|
$ WRITE( NTRA, FMT = 9994 )NC, SNAME, CUPLO, N,
|
|
$ ALPHA, INCX
|
|
IF( REWI )
|
|
$ REWIND NTRA
|
|
CALL CSSPR( IORDER, UPLO, N, ALPHA, XX, INCX, AA )
|
|
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 ) = UPLO.EQ.UPLOS
|
|
ISAME( 2 ) = NS.EQ.N
|
|
ISAME( 3 ) = ALS.EQ.ALPHA
|
|
ISAME( 4 ) = LSE( XS, XX, LX )
|
|
ISAME( 5 ) = INCXS.EQ.INCX
|
|
IF( NULL )THEN
|
|
ISAME( 6 ) = LSE( AS, AA, LAA )
|
|
ELSE
|
|
ISAME( 6 ) = LSERES( SNAME( 8: 9 ), UPLO, N, N, AS,
|
|
$ AA, LDA )
|
|
END IF
|
|
IF( .NOT.PACKED )THEN
|
|
ISAME( 7 ) = LDAS.EQ.LDA
|
|
END IF
|
|
*
|
|
* 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( INCX.GT.0 )THEN
|
|
DO 40 I = 1, N
|
|
Z( I ) = X( I )
|
|
40 CONTINUE
|
|
ELSE
|
|
DO 50 I = 1, N
|
|
Z( I ) = X( N - I + 1 )
|
|
50 CONTINUE
|
|
END IF
|
|
JA = 1
|
|
DO 60 J = 1, N
|
|
W( 1 ) = Z( J )
|
|
IF( UPPER )THEN
|
|
JJ = 1
|
|
LJ = J
|
|
ELSE
|
|
JJ = J
|
|
LJ = N - J + 1
|
|
END IF
|
|
CALL SMVCH( 'N', LJ, 1, ALPHA, Z( JJ ), LJ, W,
|
|
$ 1, ONE, A( JJ, J ), 1, YT, G,
|
|
$ AA( JA ), EPS, ERR, FATAL, NOUT,
|
|
$ .TRUE. )
|
|
IF( FULL )THEN
|
|
IF( UPPER )THEN
|
|
JA = JA + LDA
|
|
ELSE
|
|
JA = JA + LDA + 1
|
|
END IF
|
|
ELSE
|
|
JA = JA + LJ
|
|
END IF
|
|
ERRMAX = MAX( ERRMAX, ERR )
|
|
* If got really bad answer, report and return.
|
|
IF( FATAL )
|
|
$ GO TO 110
|
|
60 CONTINUE
|
|
ELSE
|
|
* Avoid repeating tests if N.le.0.
|
|
IF( N.LE.0 )
|
|
$ GO TO 100
|
|
END IF
|
|
*
|
|
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
|
|
WRITE( NOUT, FMT = 9995 )J
|
|
*
|
|
120 CONTINUE
|
|
WRITE( NOUT, FMT = 9996 )SNAME
|
|
IF( FULL )THEN
|
|
WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, ALPHA, INCX, LDA
|
|
ELSE IF( PACKED )THEN
|
|
WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, ALPHA, INCX
|
|
END IF
|
|
*
|
|
130 CONTINUE
|
|
RETURN
|
|
*
|
|
10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
|
|
$ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
|
|
$ 'RATIO ', F8.2, ' - SUSPECT *******' )
|
|
10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
|
|
$ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
|
|
$ 'RATIO ', F8.2, ' - SUSPECT *******' )
|
|
10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
|
|
$ ' (', I6, ' CALL', 'S)' )
|
|
10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
|
|
$ ' (', I6, ' CALL', 'S)' )
|
|
9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
|
|
$ 'ANGED INCORRECTLY *******' )
|
|
9997 FORMAT( ' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
|
|
$ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
|
|
$ ' - SUSPECT *******' )
|
|
9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
|
|
9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
|
|
9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
|
|
$ I2, ', AP) .' )
|
|
9993 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
|
|
$ I2, ', A,', I3, ') .' )
|
|
9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
|
|
$ '******' )
|
|
*
|
|
* End of SCHK5.
|
|
*
|
|
END
|
|
SUBROUTINE SCHK6( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI,
|
|
$ FATAL, NIDIM, IDIM, NALF, ALF, NINC, INC, NMAX,
|
|
$ INCMAX, A, AA, AS, X, XX, XS, Y, YY, YS, YT, G,
|
|
$ Z, IORDER )
|
|
*
|
|
* Tests SSYR2 and SSPR2.
|
|
*
|
|
* Auxiliary routine for test program for Level 2 Blas.
|
|
*
|
|
* -- Written on 10-August-1987.
|
|
* Richard Hanson, Sandia National Labs.
|
|
* Jeremy Du Croz, NAG Central Office.
|
|
*
|
|
* .. Parameters ..
|
|
REAL ZERO, HALF, ONE
|
|
PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 )
|
|
* .. Scalar Arguments ..
|
|
REAL EPS, THRESH
|
|
INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA,
|
|
$ IORDER
|
|
LOGICAL FATAL, REWI, TRACE
|
|
CHARACTER*12 SNAME
|
|
* .. Array Arguments ..
|
|
REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
|
|
$ AS( NMAX*NMAX ), G( NMAX ), X( NMAX ),
|
|
$ XS( NMAX*INCMAX ), XX( NMAX*INCMAX ),
|
|
$ Y( NMAX ), YS( NMAX*INCMAX ), YT( NMAX ),
|
|
$ YY( NMAX*INCMAX ), Z( NMAX, 2 )
|
|
INTEGER IDIM( NIDIM ), INC( NINC )
|
|
* .. Local Scalars ..
|
|
REAL ALPHA, ALS, ERR, ERRMAX, TRANSL
|
|
INTEGER I, IA, IC, IN, INCX, INCXS, INCY, INCYS, IX,
|
|
$ IY, J, JA, JJ, LAA, LDA, LDAS, LJ, LX, LY, N,
|
|
$ NARGS, NC, NS
|
|
LOGICAL FULL, NULL, PACKED, RESET, SAME, UPPER
|
|
CHARACTER*1 UPLO, UPLOS
|
|
CHARACTER*14 CUPLO
|
|
CHARACTER*2 ICH
|
|
* .. Local Arrays ..
|
|
REAL W( 2 )
|
|
LOGICAL ISAME( 13 )
|
|
* .. External Functions ..
|
|
LOGICAL LSE, LSERES
|
|
EXTERNAL LSE, LSERES
|
|
* .. External Subroutines ..
|
|
EXTERNAL SMAKE, SMVCH, CSSPR2, CSSYR2
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC ABS, MAX
|
|
* .. Scalars in Common ..
|
|
INTEGER INFOT, NOUTC
|
|
LOGICAL OK
|
|
* .. Common blocks ..
|
|
COMMON /INFOC/INFOT, NOUTC, OK
|
|
* .. Data statements ..
|
|
DATA ICH/'UL'/
|
|
* .. Executable Statements ..
|
|
FULL = SNAME( 9: 9 ).EQ.'y'
|
|
PACKED = SNAME( 9: 9 ).EQ.'p'
|
|
* Define the number of arguments.
|
|
IF( FULL )THEN
|
|
NARGS = 9
|
|
ELSE IF( PACKED )THEN
|
|
NARGS = 8
|
|
END IF
|
|
*
|
|
NC = 0
|
|
RESET = .TRUE.
|
|
ERRMAX = ZERO
|
|
*
|
|
DO 140 IN = 1, NIDIM
|
|
N = IDIM( IN )
|
|
* Set LDA to 1 more than minimum value if room.
|
|
LDA = N
|
|
IF( LDA.LT.NMAX )
|
|
$ LDA = LDA + 1
|
|
* Skip tests if not enough room.
|
|
IF( LDA.GT.NMAX )
|
|
$ GO TO 140
|
|
IF( PACKED )THEN
|
|
LAA = ( N*( N + 1 ) )/2
|
|
ELSE
|
|
LAA = LDA*N
|
|
END IF
|
|
*
|
|
DO 130 IC = 1, 2
|
|
UPLO = ICH( IC: IC )
|
|
IF (UPLO.EQ.'U')THEN
|
|
CUPLO = ' CblasUpper'
|
|
ELSE
|
|
CUPLO = ' CblasLower'
|
|
END IF
|
|
UPPER = UPLO.EQ.'U'
|
|
*
|
|
DO 120 IX = 1, NINC
|
|
INCX = INC( IX )
|
|
LX = ABS( INCX )*N
|
|
*
|
|
* Generate the vector X.
|
|
*
|
|
TRANSL = HALF
|
|
CALL SMAKE( 'ge', ' ', ' ', 1, N, X, 1, XX, ABS( INCX ),
|
|
$ 0, N - 1, RESET, TRANSL )
|
|
IF( N.GT.1 )THEN
|
|
X( N/2 ) = ZERO
|
|
XX( 1 + ABS( INCX )*( N/2 - 1 ) ) = ZERO
|
|
END IF
|
|
*
|
|
DO 110 IY = 1, NINC
|
|
INCY = INC( IY )
|
|
LY = ABS( INCY )*N
|
|
*
|
|
* Generate the vector Y.
|
|
*
|
|
TRANSL = ZERO
|
|
CALL SMAKE( 'ge', ' ', ' ', 1, N, Y, 1, YY,
|
|
$ ABS( INCY ), 0, N - 1, RESET, TRANSL )
|
|
IF( N.GT.1 )THEN
|
|
Y( N/2 ) = ZERO
|
|
YY( 1 + ABS( INCY )*( N/2 - 1 ) ) = ZERO
|
|
END IF
|
|
*
|
|
DO 100 IA = 1, NALF
|
|
ALPHA = ALF( IA )
|
|
NULL = N.LE.0.OR.ALPHA.EQ.ZERO
|
|
*
|
|
* Generate the matrix A.
|
|
*
|
|
TRANSL = ZERO
|
|
CALL SMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, A,
|
|
$ NMAX, AA, LDA, N - 1, N - 1, RESET,
|
|
$ TRANSL )
|
|
*
|
|
NC = NC + 1
|
|
*
|
|
* Save every datum before calling the subroutine.
|
|
*
|
|
UPLOS = UPLO
|
|
NS = N
|
|
ALS = ALPHA
|
|
DO 10 I = 1, LAA
|
|
AS( I ) = AA( I )
|
|
10 CONTINUE
|
|
LDAS = LDA
|
|
DO 20 I = 1, LX
|
|
XS( I ) = XX( I )
|
|
20 CONTINUE
|
|
INCXS = INCX
|
|
DO 30 I = 1, LY
|
|
YS( I ) = YY( I )
|
|
30 CONTINUE
|
|
INCYS = INCY
|
|
*
|
|
* Call the subroutine.
|
|
*
|
|
IF( FULL )THEN
|
|
IF( TRACE )
|
|
$ WRITE( NTRA, FMT = 9993 )NC, SNAME, CUPLO, N,
|
|
$ ALPHA, INCX, INCY, LDA
|
|
IF( REWI )
|
|
$ REWIND NTRA
|
|
CALL CSSYR2( IORDER, UPLO, N, ALPHA, XX, INCX,
|
|
$ YY, INCY, AA, LDA )
|
|
ELSE IF( PACKED )THEN
|
|
IF( TRACE )
|
|
$ WRITE( NTRA, FMT = 9994 )NC, SNAME, CUPLO, N,
|
|
$ ALPHA, INCX, INCY
|
|
IF( REWI )
|
|
$ REWIND NTRA
|
|
CALL CSSPR2( IORDER, UPLO, N, ALPHA, XX, INCX,
|
|
$ YY, INCY, AA )
|
|
END IF
|
|
*
|
|
* Check if error-exit was taken incorrectly.
|
|
*
|
|
IF( .NOT.OK )THEN
|
|
WRITE( NOUT, FMT = 9992 )
|
|
FATAL = .TRUE.
|
|
GO TO 160
|
|
END IF
|
|
*
|
|
* See what data changed inside subroutines.
|
|
*
|
|
ISAME( 1 ) = UPLO.EQ.UPLOS
|
|
ISAME( 2 ) = NS.EQ.N
|
|
ISAME( 3 ) = ALS.EQ.ALPHA
|
|
ISAME( 4 ) = LSE( XS, XX, LX )
|
|
ISAME( 5 ) = INCXS.EQ.INCX
|
|
ISAME( 6 ) = LSE( YS, YY, LY )
|
|
ISAME( 7 ) = INCYS.EQ.INCY
|
|
IF( NULL )THEN
|
|
ISAME( 8 ) = LSE( AS, AA, LAA )
|
|
ELSE
|
|
ISAME( 8 ) = LSERES( SNAME( 8: 9 ), UPLO, N, N,
|
|
$ AS, AA, LDA )
|
|
END IF
|
|
IF( .NOT.PACKED )THEN
|
|
ISAME( 9 ) = LDAS.EQ.LDA
|
|
END IF
|
|
*
|
|
* 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 160
|
|
END IF
|
|
*
|
|
IF( .NOT.NULL )THEN
|
|
*
|
|
* Check the result column by column.
|
|
*
|
|
IF( INCX.GT.0 )THEN
|
|
DO 50 I = 1, N
|
|
Z( I, 1 ) = X( I )
|
|
50 CONTINUE
|
|
ELSE
|
|
DO 60 I = 1, N
|
|
Z( I, 1 ) = X( N - I + 1 )
|
|
60 CONTINUE
|
|
END IF
|
|
IF( INCY.GT.0 )THEN
|
|
DO 70 I = 1, N
|
|
Z( I, 2 ) = Y( I )
|
|
70 CONTINUE
|
|
ELSE
|
|
DO 80 I = 1, N
|
|
Z( I, 2 ) = Y( N - I + 1 )
|
|
80 CONTINUE
|
|
END IF
|
|
JA = 1
|
|
DO 90 J = 1, N
|
|
W( 1 ) = Z( J, 2 )
|
|
W( 2 ) = Z( J, 1 )
|
|
IF( UPPER )THEN
|
|
JJ = 1
|
|
LJ = J
|
|
ELSE
|
|
JJ = J
|
|
LJ = N - J + 1
|
|
END IF
|
|
CALL SMVCH( 'N', LJ, 2, ALPHA, Z( JJ, 1 ),
|
|
$ NMAX, W, 1, ONE, A( JJ, J ), 1,
|
|
$ YT, G, AA( JA ), EPS, ERR, FATAL,
|
|
$ NOUT, .TRUE. )
|
|
IF( FULL )THEN
|
|
IF( UPPER )THEN
|
|
JA = JA + LDA
|
|
ELSE
|
|
JA = JA + LDA + 1
|
|
END IF
|
|
ELSE
|
|
JA = JA + LJ
|
|
END IF
|
|
ERRMAX = MAX( ERRMAX, ERR )
|
|
* If got really bad answer, report and return.
|
|
IF( FATAL )
|
|
$ GO TO 150
|
|
90 CONTINUE
|
|
ELSE
|
|
* Avoid repeating tests with N.le.0.
|
|
IF( N.LE.0 )
|
|
$ GO TO 140
|
|
END IF
|
|
*
|
|
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 170
|
|
*
|
|
150 CONTINUE
|
|
WRITE( NOUT, FMT = 9995 )J
|
|
*
|
|
160 CONTINUE
|
|
WRITE( NOUT, FMT = 9996 )SNAME
|
|
IF( FULL )THEN
|
|
WRITE( NOUT, FMT = 9993 )NC, SNAME, CUPLO, N, ALPHA, INCX,
|
|
$ INCY, LDA
|
|
ELSE IF( PACKED )THEN
|
|
WRITE( NOUT, FMT = 9994 )NC, SNAME, CUPLO, N, ALPHA, INCX, INCY
|
|
END IF
|
|
*
|
|
170 CONTINUE
|
|
RETURN
|
|
*
|
|
10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ',
|
|
$ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
|
|
$ 'RATIO ', F8.2, ' - SUSPECT *******' )
|
|
10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ',
|
|
$ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ',
|
|
$ 'RATIO ', F8.2, ' - SUSPECT *******' )
|
|
10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS',
|
|
$ ' (', I6, ' CALL', 'S)' )
|
|
10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS',
|
|
$ ' (', I6, ' CALL', 'S)' )
|
|
9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
|
|
$ 'ANGED INCORRECTLY *******' )
|
|
9997 FORMAT( ' ',A12, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
|
|
$ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
|
|
$ ' - SUSPECT *******' )
|
|
9996 FORMAT( ' ******* ',A12, ' FAILED ON CALL NUMBER:' )
|
|
9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
|
|
9994 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
|
|
$ I2, ', Y,', I2, ', AP) .' )
|
|
9993 FORMAT( 1X, I6, ': ',A12, '(', A14, ',', I3, ',', F4.1, ', X,',
|
|
$ I2, ', Y,', I2, ', A,', I3, ') .' )
|
|
9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
|
|
$ '******' )
|
|
*
|
|
* End of SCHK6.
|
|
*
|
|
END
|
|
SUBROUTINE SMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, KL,
|
|
$ KU, RESET, TRANSL )
|
|
*
|
|
* Generates values for an M by N matrix A within the bandwidth
|
|
* defined by KL and KU.
|
|
* 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', 'gb', 'sy', 'sb', 'sp', 'tr', 'tb' OR 'tp'.
|
|
*
|
|
* Auxiliary routine for test program for Level 2 Blas.
|
|
*
|
|
* -- Written on 10-August-1987.
|
|
* Richard Hanson, Sandia National Labs.
|
|
* Jeremy Du Croz, NAG Central Office.
|
|
*
|
|
* .. Parameters ..
|
|
REAL ZERO, ONE
|
|
PARAMETER ( ZERO = 0.0, ONE = 1.0 )
|
|
REAL ROGUE
|
|
PARAMETER ( ROGUE = -1.0E10 )
|
|
* .. Scalar Arguments ..
|
|
REAL TRANSL
|
|
INTEGER KL, KU, LDA, M, N, NMAX
|
|
LOGICAL RESET
|
|
CHARACTER*1 DIAG, UPLO
|
|
CHARACTER*2 TYPE
|
|
* .. Array Arguments ..
|
|
REAL A( NMAX, * ), AA( * )
|
|
* .. Local Scalars ..
|
|
INTEGER I, I1, I2, I3, IBEG, IEND, IOFF, J, KK
|
|
LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER
|
|
* .. External Functions ..
|
|
REAL SBEG
|
|
EXTERNAL SBEG
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC MAX, MIN
|
|
* .. Executable Statements ..
|
|
GEN = TYPE( 1: 1 ).EQ.'g'
|
|
SYM = TYPE( 1: 1 ).EQ.'s'
|
|
TRI = TYPE( 1: 1 ).EQ.'t'
|
|
UPPER = ( SYM.OR.TRI ).AND.UPLO.EQ.'U'
|
|
LOWER = ( 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
|
|
IF( ( I.LE.J.AND.J - I.LE.KU ).OR.
|
|
$ ( I.GE.J.AND.I - J.LE.KL ) )THEN
|
|
A( I, J ) = SBEG( RESET ) + TRANSL
|
|
ELSE
|
|
A( I, J ) = ZERO
|
|
END IF
|
|
IF( I.NE.J )THEN
|
|
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( 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.'gb' )THEN
|
|
DO 90 J = 1, N
|
|
DO 60 I1 = 1, KU + 1 - J
|
|
AA( I1 + ( J - 1 )*LDA ) = ROGUE
|
|
60 CONTINUE
|
|
DO 70 I2 = I1, MIN( KL + KU + 1, KU + 1 + M - J )
|
|
AA( I2 + ( J - 1 )*LDA ) = A( I2 + J - KU - 1, J )
|
|
70 CONTINUE
|
|
DO 80 I3 = I2, LDA
|
|
AA( I3 + ( J - 1 )*LDA ) = ROGUE
|
|
80 CONTINUE
|
|
90 CONTINUE
|
|
ELSE IF( TYPE.EQ.'sy'.OR.TYPE.EQ.'tr' )THEN
|
|
DO 130 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 100 I = 1, IBEG - 1
|
|
AA( I + ( J - 1 )*LDA ) = ROGUE
|
|
100 CONTINUE
|
|
DO 110 I = IBEG, IEND
|
|
AA( I + ( J - 1 )*LDA ) = A( I, J )
|
|
110 CONTINUE
|
|
DO 120 I = IEND + 1, LDA
|
|
AA( I + ( J - 1 )*LDA ) = ROGUE
|
|
120 CONTINUE
|
|
130 CONTINUE
|
|
ELSE IF( TYPE.EQ.'sb'.OR.TYPE.EQ.'tb' )THEN
|
|
DO 170 J = 1, N
|
|
IF( UPPER )THEN
|
|
KK = KL + 1
|
|
IBEG = MAX( 1, KL + 2 - J )
|
|
IF( UNIT )THEN
|
|
IEND = KL
|
|
ELSE
|
|
IEND = KL + 1
|
|
END IF
|
|
ELSE
|
|
KK = 1
|
|
IF( UNIT )THEN
|
|
IBEG = 2
|
|
ELSE
|
|
IBEG = 1
|
|
END IF
|
|
IEND = MIN( KL + 1, 1 + M - J )
|
|
END IF
|
|
DO 140 I = 1, IBEG - 1
|
|
AA( I + ( J - 1 )*LDA ) = ROGUE
|
|
140 CONTINUE
|
|
DO 150 I = IBEG, IEND
|
|
AA( I + ( J - 1 )*LDA ) = A( I + J - KK, J )
|
|
150 CONTINUE
|
|
DO 160 I = IEND + 1, LDA
|
|
AA( I + ( J - 1 )*LDA ) = ROGUE
|
|
160 CONTINUE
|
|
170 CONTINUE
|
|
ELSE IF( TYPE.EQ.'sp'.OR.TYPE.EQ.'tp' )THEN
|
|
IOFF = 0
|
|
DO 190 J = 1, N
|
|
IF( UPPER )THEN
|
|
IBEG = 1
|
|
IEND = J
|
|
ELSE
|
|
IBEG = J
|
|
IEND = N
|
|
END IF
|
|
DO 180 I = IBEG, IEND
|
|
IOFF = IOFF + 1
|
|
AA( IOFF ) = A( I, J )
|
|
IF( I.EQ.J )THEN
|
|
IF( UNIT )
|
|
$ AA( IOFF ) = ROGUE
|
|
END IF
|
|
180 CONTINUE
|
|
190 CONTINUE
|
|
END IF
|
|
RETURN
|
|
*
|
|
* End of SMAKE.
|
|
*
|
|
END
|
|
SUBROUTINE SMVCH( TRANS, M, N, ALPHA, A, NMAX, X, INCX, BETA, Y,
|
|
$ INCY, YT, G, YY, EPS, ERR, FATAL, NOUT, MV )
|
|
*
|
|
* Checks the results of the computational tests.
|
|
*
|
|
* Auxiliary routine for test program for Level 2 Blas.
|
|
*
|
|
* -- Written on 10-August-1987.
|
|
* Richard Hanson, Sandia National Labs.
|
|
* Jeremy Du Croz, NAG Central Office.
|
|
*
|
|
* .. Parameters ..
|
|
REAL ZERO, ONE
|
|
PARAMETER ( ZERO = 0.0, ONE = 1.0 )
|
|
* .. Scalar Arguments ..
|
|
REAL ALPHA, BETA, EPS, ERR
|
|
INTEGER INCX, INCY, M, N, NMAX, NOUT
|
|
LOGICAL FATAL, MV
|
|
CHARACTER*1 TRANS
|
|
* .. Array Arguments ..
|
|
REAL A( NMAX, * ), G( * ), X( * ), Y( * ), YT( * ),
|
|
$ YY( * )
|
|
* .. Local Scalars ..
|
|
REAL ERRI
|
|
INTEGER I, INCXL, INCYL, IY, J, JX, KX, KY, ML, NL
|
|
LOGICAL TRAN
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC ABS, MAX, SQRT
|
|
* .. Executable Statements ..
|
|
TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C'
|
|
IF( TRAN )THEN
|
|
ML = N
|
|
NL = M
|
|
ELSE
|
|
ML = M
|
|
NL = N
|
|
END IF
|
|
IF( INCX.LT.0 )THEN
|
|
KX = NL
|
|
INCXL = -1
|
|
ELSE
|
|
KX = 1
|
|
INCXL = 1
|
|
END IF
|
|
IF( INCY.LT.0 )THEN
|
|
KY = ML
|
|
INCYL = -1
|
|
ELSE
|
|
KY = 1
|
|
INCYL = 1
|
|
END IF
|
|
*
|
|
* Compute expected result in YT using data in A, X and Y.
|
|
* Compute gauges in G.
|
|
*
|
|
IY = KY
|
|
DO 30 I = 1, ML
|
|
YT( IY ) = ZERO
|
|
G( IY ) = ZERO
|
|
JX = KX
|
|
IF( TRAN )THEN
|
|
DO 10 J = 1, NL
|
|
YT( IY ) = YT( IY ) + A( J, I )*X( JX )
|
|
G( IY ) = G( IY ) + ABS( A( J, I )*X( JX ) )
|
|
JX = JX + INCXL
|
|
10 CONTINUE
|
|
ELSE
|
|
DO 20 J = 1, NL
|
|
YT( IY ) = YT( IY ) + A( I, J )*X( JX )
|
|
G( IY ) = G( IY ) + ABS( A( I, J )*X( JX ) )
|
|
JX = JX + INCXL
|
|
20 CONTINUE
|
|
END IF
|
|
YT( IY ) = ALPHA*YT( IY ) + BETA*Y( IY )
|
|
G( IY ) = ABS( ALPHA )*G( IY ) + ABS( BETA*Y( IY ) )
|
|
IY = IY + INCYL
|
|
30 CONTINUE
|
|
*
|
|
* Compute the error ratio for this result.
|
|
*
|
|
ERR = ZERO
|
|
DO 40 I = 1, ML
|
|
ERRI = ABS( YT( I ) - YY( 1 + ( I - 1 )*ABS( INCY ) ) )/EPS
|
|
IF( G( I ).NE.ZERO )
|
|
$ ERRI = ERRI/G( I )
|
|
ERR = MAX( ERR, ERRI )
|
|
IF( ERR*SQRT( EPS ).GE.ONE )
|
|
$ GO TO 50
|
|
40 CONTINUE
|
|
* If the loop completes, all results are at least half accurate.
|
|
GO TO 70
|
|
*
|
|
* Report fatal error.
|
|
*
|
|
50 FATAL = .TRUE.
|
|
WRITE( NOUT, FMT = 9999 )
|
|
DO 60 I = 1, ML
|
|
IF( MV )THEN
|
|
WRITE( NOUT, FMT = 9998 )I, YT( I ),
|
|
$ YY( 1 + ( I - 1 )*ABS( INCY ) )
|
|
ELSE
|
|
WRITE( NOUT, FMT = 9998 )I,
|
|
$ YY( 1 + ( I - 1 )*ABS( INCY ) ), YT(I)
|
|
END IF
|
|
60 CONTINUE
|
|
*
|
|
70 CONTINUE
|
|
RETURN
|
|
*
|
|
9999 FORMAT( ' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL',
|
|
$ 'F ACCURATE *******', /' EXPECTED RESULT COMPU',
|
|
$ 'TED RESULT' )
|
|
9998 FORMAT( 1X, I7, 2G18.6 )
|
|
*
|
|
* End of SMVCH.
|
|
*
|
|
END
|
|
LOGICAL FUNCTION LSE( RI, RJ, LR )
|
|
*
|
|
* Tests if two arrays are identical.
|
|
*
|
|
* Auxiliary routine for test program for Level 2 Blas.
|
|
*
|
|
* -- Written on 10-August-1987.
|
|
* Richard Hanson, Sandia National Labs.
|
|
* Jeremy Du Croz, NAG Central Office.
|
|
*
|
|
* .. Scalar Arguments ..
|
|
INTEGER LR
|
|
* .. Array Arguments ..
|
|
REAL RI( * ), RJ( * )
|
|
* .. Local Scalars ..
|
|
INTEGER I
|
|
* .. Executable Statements ..
|
|
DO 10 I = 1, LR
|
|
IF( RI( I ).NE.RJ( I ) )
|
|
$ GO TO 20
|
|
10 CONTINUE
|
|
LSE = .TRUE.
|
|
GO TO 30
|
|
20 CONTINUE
|
|
LSE = .FALSE.
|
|
30 RETURN
|
|
*
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* End of LSE.
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*
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END
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LOGICAL FUNCTION LSERES( TYPE, UPLO, M, N, AA, AS, LDA )
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*
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* Tests if selected elements in two arrays are equal.
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*
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|
* TYPE is 'ge', 'sy' or 'sp'.
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|
*
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|
* Auxiliary routine for test program for Level 2 Blas.
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|
*
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|
* -- Written on 10-August-1987.
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|
* Richard Hanson, Sandia National Labs.
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|
* Jeremy Du Croz, NAG Central Office.
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|
*
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|
* .. Scalar Arguments ..
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|
INTEGER LDA, M, N
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|
CHARACTER*1 UPLO
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|
CHARACTER*2 TYPE
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* .. Array Arguments ..
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|
REAL AA( LDA, * ), AS( LDA, * )
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|
* .. Local Scalars ..
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|
INTEGER I, IBEG, IEND, J
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|
LOGICAL UPPER
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|
* .. Executable Statements ..
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|
UPPER = UPLO.EQ.'U'
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IF( TYPE.EQ.'ge' )THEN
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|
DO 20 J = 1, N
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DO 10 I = M + 1, LDA
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IF( AA( I, J ).NE.AS( I, J ) )
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|
$ GO TO 70
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|
10 CONTINUE
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|
20 CONTINUE
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|
ELSE IF( TYPE.EQ.'sy' )THEN
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|
DO 50 J = 1, N
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|
IF( UPPER )THEN
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|
IBEG = 1
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|
IEND = J
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|
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
|
|
LSERES = .TRUE.
|
|
GO TO 80
|
|
70 CONTINUE
|
|
LSERES = .FALSE.
|
|
80 RETURN
|
|
*
|
|
* End of LSERES.
|
|
*
|
|
END
|
|
REAL FUNCTION SBEG( RESET )
|
|
*
|
|
* Generates random numbers uniformly distributed between -0.5 and 0.5.
|
|
*
|
|
* Auxiliary routine for test program for Level 2 Blas.
|
|
*
|
|
* -- Written on 10-August-1987.
|
|
* Richard Hanson, Sandia National Labs.
|
|
* Jeremy Du Croz, NAG Central Office.
|
|
*
|
|
* .. Scalar Arguments ..
|
|
LOGICAL RESET
|
|
* .. Local Scalars ..
|
|
INTEGER I, IC, MI
|
|
* .. Save statement ..
|
|
SAVE I, IC, MI
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC REAL
|
|
* .. Executable Statements ..
|
|
IF( RESET )THEN
|
|
* Initialize local variables.
|
|
MI = 891
|
|
I = 7
|
|
IC = 0
|
|
RESET = .FALSE.
|
|
END IF
|
|
*
|
|
* The sequence of values of I is bounded between 1 and 999.
|
|
* If initial I = 1,2,3,6,7 or 9, the period will be 50.
|
|
* If initial I = 4 or 8, the period will be 25.
|
|
* If initial I = 5, the period will be 10.
|
|
* IC is used to break up the period by skipping 1 value of I in 6.
|
|
*
|
|
IC = IC + 1
|
|
10 I = I*MI
|
|
I = I - 1000*( I/1000 )
|
|
IF( IC.GE.5 )THEN
|
|
IC = 0
|
|
GO TO 10
|
|
END IF
|
|
SBEG = REAL( I - 500 )/1001.0
|
|
RETURN
|
|
*
|
|
* End of SBEG.
|
|
*
|
|
END
|
|
REAL FUNCTION SDIFF( X, Y )
|
|
*
|
|
* Auxiliary routine for test program for Level 2 Blas.
|
|
*
|
|
* -- Written on 10-August-1987.
|
|
* Richard Hanson, Sandia National Labs.
|
|
*
|
|
* .. Scalar Arguments ..
|
|
REAL X, Y
|
|
* .. Executable Statements ..
|
|
SDIFF = X - Y
|
|
RETURN
|
|
*
|
|
* End of SDIFF.
|
|
*
|
|
END
|