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$ 'S)' )
9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
$ 'ANGED INCORRECTLY *******' )
9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
$ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
$ ' - SUSPECT *******' )
9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' )
9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,',
$ I2, ', AP) .' )
9993 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',', F4.1, ', X,',
$ I2, ', A,', I3, ') .' )
9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
$ '******' )
*
* End of ZCHK5.
*
END
SUBROUTINE ZCHK6( 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 )
*
* Tests ZHER2 and ZHPR2.
*
* 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 ..
COMPLEX*16 ZERO, HALF, ONE
PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
$ HALF = ( 0.5D0, 0.0D0 ),
$ ONE = ( 1.0D0, 0.0D0 ) )
DOUBLE PRECISION RZERO
PARAMETER ( RZERO = 0.0D0 )
* .. Scalar Arguments ..
DOUBLE PRECISION EPS, THRESH
INTEGER INCMAX, NALF, NIDIM, NINC, NMAX, NOUT, NTRA
LOGICAL FATAL, REWI, TRACE
CHARACTER*6 SNAME
* .. Array Arguments ..
COMPLEX*16 A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ),
$ AS( NMAX*NMAX ), X( NMAX ), XS( NMAX*INCMAX ),
$ XX( NMAX*INCMAX ), Y( NMAX ),
$ YS( NMAX*INCMAX ), YT( NMAX ),
$ YY( NMAX*INCMAX ), Z( NMAX, 2 )
DOUBLE PRECISION G( NMAX )
INTEGER IDIM( NIDIM ), INC( NINC )
* .. Local Scalars ..
COMPLEX*16 ALPHA, ALS, TRANSL
DOUBLE PRECISION ERR, ERRMAX
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*2 ICH
* .. Local Arrays ..
COMPLEX*16 W( 2 )
LOGICAL ISAME( 13 )
* .. External Functions ..
LOGICAL LZE, LZERES
EXTERNAL LZE, LZERES
* .. External Subroutines ..
EXTERNAL ZHER2, ZHPR2, ZMAKE, ZMVCH
* .. Intrinsic Functions ..
INTRINSIC ABS, DCONJG, MAX
* .. Scalars in Common ..
INTEGER INFOT, NOUTC
LOGICAL LERR, OK
* .. Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK, LERR
* .. Data statements ..
DATA ICH/'UL'/
* .. Executable Statements ..
FULL = SNAME( 3: 3 ).EQ.'E'
PACKED = SNAME( 3: 3 ).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 = RZERO
*
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 )
UPPER = UPLO.EQ.'U'
*
DO 120 IX = 1, NINC
INCX = INC( IX )
LX = ABS( INCX )*N
*
* Generate the vector X.
*
TRANSL = HALF
CALL ZMAKE( '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 ZMAKE( '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 ZMAKE( SNAME( 2: 3 ), 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, UPLO, N,
$ ALPHA, INCX, INCY, LDA
IF( REWI )
$ REWIND NTRA
CALL ZHER2( UPLO, N, ALPHA, XX, INCX, YY, INCY,
$ AA, LDA )
ELSE IF( PACKED )THEN
IF( TRACE )
$ WRITE( NTRA, FMT = 9994 )NC, SNAME, UPLO, N,
$ ALPHA, INCX, INCY
IF( REWI )
$ REWIND NTRA
CALL ZHPR2( 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 ) = LZE( XS, XX, LX )
ISAME( 5 ) = INCXS.EQ.INCX
ISAME( 6 ) = LZE( YS, YY, LY )
ISAME( 7 ) = INCYS.EQ.INCY
IF( NULL )THEN
ISAME( 8 ) = LZE( AS, AA, LAA )
ELSE
ISAME( 8 ) = LZERES( SNAME( 2: 3 ), 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 ) = ALPHA*DCONJG( Z( J, 2 ) )
W( 2 ) = DCONJG( ALPHA )*DCONJG( Z( J, 1 ) )
IF( UPPER )THEN
JJ = 1
LJ = J
ELSE
JJ = J
LJ = N - J + 1
END IF
CALL ZMVCH( 'N', LJ, 2, ONE, 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
WRITE( NOUT, FMT = 9999 )SNAME, NC
ELSE
WRITE( NOUT, FMT = 9997 )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, UPLO, N, ALPHA, INCX,
$ INCY, LDA
ELSE IF( PACKED )THEN
WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, N, ALPHA, INCX, INCY
END IF
*
170 CONTINUE
RETURN
*
9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL',
$ 'S)' )
9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH',
$ 'ANGED INCORRECTLY *******' )
9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C',
$ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2,
$ ' - SUSPECT *******' )
9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' )
9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 )
9994 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',(', F4.1, ',',
$ F4.1, '), X,', I2, ', Y,', I2, ', AP) ',
$ ' .' )
9993 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',', I3, ',(', F4.1, ',',
$ F4.1, '), X,', I2, ', Y,', I2, ', A,', I3, ') ',
$ ' .' )
9992 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *',
$ '******' )
*
* End of ZCHK6.
*
END
SUBROUTINE ZCHKE( ISNUM, SRNAMT, NOUT )
*
* Tests the error exits from the Level 2 Blas.
* Requires a special version of the error-handling routine XERBLA.
* ALPHA, RALPHA, BETA, A, X and Y should not need to be defined.
*
* 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 ISNUM, NOUT
CHARACTER*6 SRNAMT
* .. Scalars in Common ..
INTEGER INFOT, NOUTC
LOGICAL LERR, OK
* .. Local Scalars ..
COMPLEX*16 ALPHA, BETA
DOUBLE PRECISION RALPHA
* .. Local Arrays ..
COMPLEX*16 A( 1, 1 ), X( 1 ), Y( 1 )
* .. External Subroutines ..
EXTERNAL CHKXER, ZGBMV, ZGEMV, ZGERC, ZGERU, ZHBMV,
$ ZHEMV, ZHER, ZHER2, ZHPMV, ZHPR, ZHPR2, ZTBMV,
$ ZTBSV, ZTPMV, ZTPSV, ZTRMV, ZTRSV
* .. Common blocks ..
COMMON /INFOC/INFOT, NOUTC, OK, LERR
* .. Executable Statements ..
* OK is set to .FALSE. by the special version of XERBLA or by CHKXER
* if anything is wrong.
OK = .TRUE.
* LERR is set to .TRUE. by the special version of XERBLA each time
* it is called, and is then tested and re-set by CHKXER.
LERR = .FALSE.
GO TO ( 10, 20, 30, 40, 50, 60, 70, 80,
$ 90, 100, 110, 120, 130, 140, 150, 160,
$ 170 )ISNUM
10 INFOT = 1
CALL ZGEMV( '/', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL ZGEMV( 'N', -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3
CALL ZGEMV( 'N', 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 6
CALL ZGEMV( 'N', 2, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 8
CALL ZGEMV( 'N', 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 11
CALL ZGEMV( 'N', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
20 INFOT = 1
CALL ZGBMV( '/', 0, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL ZGBMV( 'N', -1, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3
CALL ZGBMV( 'N', 0, -1, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 4
CALL ZGBMV( 'N', 0, 0, -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5
CALL ZGBMV( 'N', 2, 0, 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 8
CALL ZGBMV( 'N', 0, 0, 1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 10
CALL ZGBMV( 'N', 0, 0, 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 13
CALL ZGBMV( 'N', 0, 0, 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
30 INFOT = 1
CALL ZHEMV( '/', 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL ZHEMV( 'U', -1, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5
CALL ZHEMV( 'U', 2, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7
CALL ZHEMV( 'U', 0, ALPHA, A, 1, X, 0, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 10
CALL ZHEMV( 'U', 0, ALPHA, A, 1, X, 1, BETA, Y, 0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
40 INFOT = 1
CALL ZHBMV( '/', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL ZHBMV( 'U', -1, 0, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3
CALL ZHBMV( 'U', 0, -1, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 6
CALL ZHBMV( 'U', 0, 1, ALPHA, A, 1, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 8
CALL ZHBMV( 'U', 0, 0, ALPHA, A, 1, X, 0, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 11
CALL ZHBMV( 'U', 0, 0, ALPHA, A, 1, X, 1, BETA, Y, 0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
50 INFOT = 1
CALL ZHPMV( '/', 0, ALPHA, A, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL ZHPMV( 'U', -1, ALPHA, A, X, 1, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 6
CALL ZHPMV( 'U', 0, ALPHA, A, X, 0, BETA, Y, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 9
CALL ZHPMV( 'U', 0, ALPHA, A, X, 1, BETA, Y, 0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
60 INFOT = 1
CALL ZTRMV( '/', 'N', 'N', 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL ZTRMV( 'U', '/', 'N', 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3
CALL ZTRMV( 'U', 'N', '/', 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 4
CALL ZTRMV( 'U', 'N', 'N', -1, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 6
CALL ZTRMV( 'U', 'N', 'N', 2, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 8
CALL ZTRMV( 'U', 'N', 'N', 0, A, 1, X, 0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
70 INFOT = 1
CALL ZTBMV( '/', 'N', 'N', 0, 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL ZTBMV( 'U', '/', 'N', 0, 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3
CALL ZTBMV( 'U', 'N', '/', 0, 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 4
CALL ZTBMV( 'U', 'N', 'N', -1, 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5
CALL ZTBMV( 'U', 'N', 'N', 0, -1, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7
CALL ZTBMV( 'U', 'N', 'N', 0, 1, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 9
CALL ZTBMV( 'U', 'N', 'N', 0, 0, A, 1, X, 0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
80 INFOT = 1
CALL ZTPMV( '/', 'N', 'N', 0, A, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL ZTPMV( 'U', '/', 'N', 0, A, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3
CALL ZTPMV( 'U', 'N', '/', 0, A, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 4
CALL ZTPMV( 'U', 'N', 'N', -1, A, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7
CALL ZTPMV( 'U', 'N', 'N', 0, A, X, 0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
90 INFOT = 1
CALL ZTRSV( '/', 'N', 'N', 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL ZTRSV( 'U', '/', 'N', 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3
CALL ZTRSV( 'U', 'N', '/', 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 4
CALL ZTRSV( 'U', 'N', 'N', -1, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 6
CALL ZTRSV( 'U', 'N', 'N', 2, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 8
CALL ZTRSV( 'U', 'N', 'N', 0, A, 1, X, 0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
100 INFOT = 1
CALL ZTBSV( '/', 'N', 'N', 0, 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL ZTBSV( 'U', '/', 'N', 0, 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3
CALL ZTBSV( 'U', 'N', '/', 0, 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 4
CALL ZTBSV( 'U', 'N', 'N', -1, 0, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5
CALL ZTBSV( 'U', 'N', 'N', 0, -1, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7
CALL ZTBSV( 'U', 'N', 'N', 0, 1, A, 1, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 9
CALL ZTBSV( 'U', 'N', 'N', 0, 0, A, 1, X, 0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
110 INFOT = 1
CALL ZTPSV( '/', 'N', 'N', 0, A, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL ZTPSV( 'U', '/', 'N', 0, A, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 3
CALL ZTPSV( 'U', 'N', '/', 0, A, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 4
CALL ZTPSV( 'U', 'N', 'N', -1, A, X, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7
CALL ZTPSV( 'U', 'N', 'N', 0, A, X, 0 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
120 INFOT = 1
CALL ZGERC( -1, 0, ALPHA, X, 1, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL ZGERC( 0, -1, ALPHA, X, 1, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5
CALL ZGERC( 0, 0, ALPHA, X, 0, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7
CALL ZGERC( 0, 0, ALPHA, X, 1, Y, 0, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 9
CALL ZGERC( 2, 0, ALPHA, X, 1, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
130 INFOT = 1
CALL ZGERU( -1, 0, ALPHA, X, 1, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL ZGERU( 0, -1, ALPHA, X, 1, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5
CALL ZGERU( 0, 0, ALPHA, X, 0, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7
CALL ZGERU( 0, 0, ALPHA, X, 1, Y, 0, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 9
CALL ZGERU( 2, 0, ALPHA, X, 1, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
140 INFOT = 1
CALL ZHER( '/', 0, RALPHA, X, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL ZHER( 'U', -1, RALPHA, X, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5
CALL ZHER( 'U', 0, RALPHA, X, 0, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7
CALL ZHER( 'U', 2, RALPHA, X, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
150 INFOT = 1
CALL ZHPR( '/', 0, RALPHA, X, 1, A )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL ZHPR( 'U', -1, RALPHA, X, 1, A )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5
CALL ZHPR( 'U', 0, RALPHA, X, 0, A )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
160 INFOT = 1
CALL ZHER2( '/', 0, ALPHA, X, 1, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL ZHER2( 'U', -1, ALPHA, X, 1, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5
CALL ZHER2( 'U', 0, ALPHA, X, 0, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7
CALL ZHER2( 'U', 0, ALPHA, X, 1, Y, 0, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 9
CALL ZHER2( 'U', 2, ALPHA, X, 1, Y, 1, A, 1 )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
GO TO 180
170 INFOT = 1
CALL ZHPR2( '/', 0, ALPHA, X, 1, Y, 1, A )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 2
CALL ZHPR2( 'U', -1, ALPHA, X, 1, Y, 1, A )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 5
CALL ZHPR2( 'U', 0, ALPHA, X, 0, Y, 1, A )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
INFOT = 7
CALL ZHPR2( 'U', 0, ALPHA, X, 1, Y, 0, A )
CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK )
*
180 IF( OK )THEN
WRITE( NOUT, FMT = 9999 )SRNAMT
ELSE
WRITE( NOUT, FMT = 9998 )SRNAMT
END IF
RETURN
*
9999 FORMAT( ' ', A6, ' PASSED THE TESTS OF ERROR-EXITS' )
9998 FORMAT( ' ******* ', A6, ' FAILED THE TESTS OF ERROR-EXITS *****',
$ '**' )
*
* End of ZCHKE.
*
END
SUBROUTINE ZMAKE( 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', 'HE', 'HB', 'HP', '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 ..
COMPLEX*16 ZERO, ONE
PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ),
$ ONE = ( 1.0D0, 0.0D0 ) )
COMPLEX*16 ROGUE
PARAMETER ( ROGUE = ( -1.0D10, 1.0D10 ) )
DOUBLE PRECISION RZERO
PARAMETER ( RZERO = 0.0D0 )
DOUBLE PRECISION RROGUE
PARAMETER ( RROGUE = -1.0D10 )
* .. Scalar Arguments ..
COMPLEX*16 TRANSL
INTEGER KL, KU, LDA, M, N, NMAX
LOGICAL RESET
CHARACTER*1 DIAG, UPLO
CHARACTER*2 TYPE
* .. Array Arguments ..
COMPLEX*16 A( NMAX, * ), AA( * )
* .. Local Scalars ..
INTEGER I, I1, I2, I3, IBEG, IEND, IOFF, J, JJ, KK
LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER
* .. External Functions ..
COMPLEX*16 ZBEG
EXTERNAL ZBEG
* .. Intrinsic Functions ..
INTRINSIC DBLE, DCMPLX, DCONJG, MAX, MIN
* .. Executable Statements ..
GEN = TYPE( 1: 1 ).EQ.'G'
SYM = TYPE( 1: 1 ).EQ.'H'
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 ) = ZBEG( RESET ) + TRANSL
ELSE
A( I, J ) = ZERO
END IF
IF( I.NE.J )THEN
IF( SYM )THEN
A( J, I ) = DCONJG( A( I, J ) )
ELSE IF( TRI )THEN
A( J, I ) = ZERO
END IF
END IF
END IF
10 CONTINUE
IF( SYM )
$ A( J, J ) = DCMPLX( DBLE( A( J, J ) ), RZERO )
IF( TRI )
$ A( J, J ) = A( J, J ) + ONE
IF( UNIT )
$ A( J, J ) = ONE
20 CONTINUE
*
* Store elements in array AS in data structure required by routine.
*
IF( TYPE.EQ.'GE' )THEN
DO 50 J = 1, N
DO 30 I = 1, M
AA( I + ( J - 1 )*LDA ) = A( I, J )
30 CONTINUE
DO 40 I = M + 1, LDA
AA( I + ( J - 1 )*LDA ) = ROGUE
40 CONTINUE
50 CONTINUE
ELSE IF( TYPE.EQ.'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.'HE'.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
IF( SYM )THEN
JJ = J + ( J - 1 )*LDA
AA( JJ ) = DCMPLX( DBLE( AA( JJ ) ), RROGUE )
END IF
130 CONTINUE
ELSE IF( TYPE.EQ.'HB'.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
IF( SYM )THEN
JJ = KK + ( J - 1 )*LDA
AA( JJ ) = DCMPLX( DBLE( AA( JJ ) ), RROGUE )
END IF
170 CONTINUE
ELSE IF( TYPE.EQ.'HP'.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
IF( SYM )
$ AA( IOFF ) = DCMPLX( DBLE( AA( IOFF ) ), RROGUE )
END IF
180 CONTINUE
190 CONTINUE
END IF
RETURN
*
* End of ZMAKE.
*
END
SUBROUTINE ZMVCH( 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 ..
COMPLEX*16 ZERO
PARAMETER ( ZERO = ( 0.0D0, 0.0D0 ) )
DOUBLE PRECISION RZERO, RONE
PARAMETER ( RZERO = 0.0D0, RONE = 1.0D0 )
* .. Scalar Arguments ..
COMPLEX*16 ALPHA, BETA
DOUBLE PRECISION EPS, ERR
INTEGER INCX, INCY, M, N, NMAX, NOUT
LOGICAL FATAL, MV
CHARACTER*1 TRANS
* .. Array Arguments ..
COMPLEX*16 A( NMAX, * ), X( * ), Y( * ), YT( * ), YY( * )
DOUBLE PRECISION G( * )
* .. Local Scalars ..
COMPLEX*16 C
DOUBLE PRECISION ERRI
INTEGER I, INCXL, INCYL, IY, J, JX, KX, KY, ML, NL
LOGICAL CTRAN, TRAN
* .. Intrinsic Functions ..
INTRINSIC ABS, DBLE, DCONJG, DIMAG, MAX, SQRT
* .. Statement Functions ..
DOUBLE PRECISION ABS1
* .. Statement Function definitions ..
ABS1( C ) = ABS( DBLE( C ) ) + ABS( DIMAG( C ) )
* .. Executable Statements ..
TRAN = TRANS.EQ.'T'
CTRAN = TRANS.EQ.'C'
IF( TRAN.OR.CTRAN )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 40 I = 1, ML
YT( IY ) = ZERO
G( IY ) = RZERO
JX = KX
IF( TRAN )THEN
DO 10 J = 1, NL
YT( IY ) = YT( IY ) + A( J, I )*X( JX )
G( IY ) = G( IY ) + ABS1( A( J, I ) )*ABS1( X( JX ) )
JX = JX + INCXL
10 CONTINUE
ELSE IF( CTRAN )THEN
DO 20 J = 1, NL
YT( IY ) = YT( IY ) + DCONJG( A( J, I ) )*X( JX )
G( IY ) = G( IY ) + ABS1( A( J, I ) )*ABS1( X( JX ) )
JX = JX + INCXL
20 CONTINUE
ELSE
DO 30 J = 1, NL
YT( IY ) = YT( IY ) + A( I, J )*X( JX )
G( IY ) = G( IY ) + ABS1( A( I, J ) )*ABS1( X( JX ) )
JX = JX + INCXL
30 CONTINUE
END IF
YT( IY ) = ALPHA*YT( IY ) + BETA*Y( IY )
G( IY ) = ABS1( ALPHA )*G( IY ) + ABS1( BETA )*ABS1( Y( IY ) )
IY = IY + INCYL
40 CONTINUE
*
* Compute the error ratio for this result.
*
ERR = ZERO
DO 50 I = 1, ML
ERRI = ABS( YT( I ) - YY( 1 + ( I - 1 )*ABS( INCY ) ) )/EPS
IF( G( I ).NE.RZERO )
$ ERRI = ERRI/G( I )
ERR = MAX( ERR, ERRI )
IF( ERR*SQRT( EPS ).GE.RONE )
$ GO TO 60
50 CONTINUE
* If the loop completes, all results are at least half accurate.
GO TO 80
*
* Report fatal error.
*
60 FATAL = .TRUE.
WRITE( NOUT, FMT = 9999 )
DO 70 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
70 CONTINUE
*
80 CONTINUE
RETURN