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PROGRAM SBLAT3
* * Test program for the REAL Level 3 Blas. * * The program must be driven by a short data file. The first 14 records * of the file are read using list-directed input, the last 6 records * are read using the format ( A6, L2 ). An annotated example of a data * file can be obtained by deleting the first 3 characters from the * following 20 lines: * 'sblat3.out' NAME OF SUMMARY OUTPUT FILE * 6 UNIT NUMBER OF SUMMARY FILE * 'SBLAT3.SNAP' NAME OF SNAPSHOT OUTPUT FILE * -1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0) * F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD. * F LOGICAL FLAG, T TO STOP ON FAILURES. * T LOGICAL FLAG, T TO TEST ERROR EXITS. * 16.0 THRESHOLD VALUE OF TEST RATIO * 6 NUMBER OF VALUES OF N * 0 1 2 3 5 9 VALUES OF N * 3 NUMBER OF VALUES OF ALPHA * 0.0 1.0 0.7 VALUES OF ALPHA * 3 NUMBER OF VALUES OF BETA * 0.0 1.0 1.3 VALUES OF BETA * SGEMM T PUT F FOR NO TEST. SAME COLUMNS. * SSYMM T PUT F FOR NO TEST. SAME COLUMNS. * STRMM T PUT F FOR NO TEST. SAME COLUMNS. * STRSM T PUT F FOR NO TEST. SAME COLUMNS. * SSYRK T PUT F FOR NO TEST. SAME COLUMNS. * SSYR2K T PUT F FOR NO TEST. SAME COLUMNS. * * See: * * Dongarra J. J., Du Croz J. J., Duff I. S. and Hammarling S. * A Set of Level 3 Basic Linear Algebra Subprograms. * * Technical Memorandum No.88 (Revision 1), Mathematics and * Computer Science Division, Argonne National Laboratory, 9700 * South Cass Avenue, Argonne, Illinois 60439, US. * * -- Written on 8-February-1989. * Jack Dongarra, Argonne National Laboratory. * Iain Duff, AERE Harwell. * Jeremy Du Croz, Numerical Algorithms Group Ltd. * Sven Hammarling, Numerical Algorithms Group Ltd. * * 10-9-00: Change STATUS='NEW' to 'UNKNOWN' so that the testers * can be run multiple times without deleting generated * output files (susan) * * .. Parameters .. INTEGER NIN PARAMETER ( NIN = 5 ) INTEGER NSUBS PARAMETER ( NSUBS = 6 ) REAL ZERO, HALF, ONE PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 ) INTEGER NMAX PARAMETER ( NMAX = 65 ) INTEGER NIDMAX, NALMAX, NBEMAX PARAMETER ( NIDMAX = 9, NALMAX = 7, NBEMAX = 7 ) * .. Local Scalars .. REAL EPS, ERR, THRESH INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NOUT, NTRA LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE, $ TSTERR CHARACTER*1 TRANSA, TRANSB CHARACTER*6 SNAMET CHARACTER*32 SNAPS, SUMMRY * .. Local Arrays .. REAL AA( NMAX*NMAX ), AB( NMAX, 2*NMAX ), $ ALF( NALMAX ), AS( NMAX*NMAX ), $ BB( NMAX*NMAX ), BET( NBEMAX ), $ BS( NMAX*NMAX ), C( NMAX, NMAX ), $ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ), $ G( NMAX ), W( 2*NMAX ) INTEGER IDIM( NIDMAX ) LOGICAL LTEST( NSUBS ) CHARACTER*6 SNAMES( NSUBS ) * .. External Functions .. REAL SDIFF LOGICAL LSE EXTERNAL SDIFF, LSE * .. External Subroutines .. EXTERNAL SCHK1, SCHK2, SCHK3, SCHK4, SCHK5, SCHKE, SMMCH * .. Intrinsic Functions .. INTRINSIC MAX, MIN * .. Scalars in Common .. INTEGER INFOT, NOUTC LOGICAL LERR, OK CHARACTER*6 SRNAMT * .. Common blocks .. COMMON /INFOC/INFOT, NOUTC, OK, LERR COMMON /SRNAMC/SRNAMT * .. Data statements .. DATA SNAMES/'SGEMM ', 'SSYMM ', 'STRMM ', 'STRSM ', $ 'SSYRK ', 'SSYR2K'/ * .. Executable Statements .. * * Read name and unit number for summary output file and open file. * READ( NIN, FMT = * )SUMMRY READ( NIN, FMT = * )NOUT OPEN( NOUT, FILE = SUMMRY ) NOUTC = NOUT * * Read name and unit number for snapshot output file and open file. * READ( NIN, FMT = * )SNAPS READ( NIN, FMT = * )NTRA TRACE = NTRA.GE.0 IF( TRACE )THEN OPEN( NTRA, FILE = SNAPS ) END IF * Read the flag that directs rewinding of the snapshot file. READ( NIN, FMT = * )REWI REWI = REWI.AND.TRACE * Read the flag that directs stopping on any failure. READ( NIN, FMT = * )SFATAL * Read the flag that indicates whether error exits are to be tested. READ( NIN, FMT = * )TSTERR * Read the threshold value of the test ratio READ( NIN, FMT = * )THRESH * * Read and check the parameter values for the tests. * * Values of N READ( NIN, FMT = * )NIDIM IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN WRITE( NOUT, FMT = 9997 )'N', NIDMAX GO TO 220 END IF READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM ) DO 10 I = 1, NIDIM IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN WRITE( NOUT, FMT = 9996 )NMAX GO TO 220 END IF 10 CONTINUE * Values of ALPHA READ( NIN, FMT = * )NALF IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX GO TO 220 END IF READ( NIN, FMT = * )( ALF( I ), I = 1, NALF ) * Values of BETA READ( NIN, FMT = * )NBET IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX GO TO 220 END IF READ( NIN, FMT = * )( BET( I ), I = 1, NBET ) * * Report values of parameters. * WRITE( NOUT, FMT = 9995 ) WRITE( NOUT, FMT = 9994 )( IDIM( I ), I = 1, NIDIM ) WRITE( NOUT, FMT = 9993 )( ALF( I ), I = 1, NALF ) WRITE( NOUT, FMT = 9992 )( BET( I ), I = 1, NBET ) IF( .NOT.TSTERR )THEN WRITE( NOUT, FMT = * ) WRITE( NOUT, FMT = 9984 ) END IF WRITE( NOUT, FMT = * ) WRITE( NOUT, FMT = 9999 )THRESH WRITE( NOUT, FMT = * ) * * Read names of subroutines and flags which indicate * whether they are to be tested. * DO 20 I = 1, NSUBS LTEST( I ) = .FALSE. 20 CONTINUE 30 READ( NIN, FMT = 9988, END = 60 )SNAMET, LTESTT DO 40 I = 1, NSUBS IF( SNAMET.EQ.SNAMES( I ) ) $ GO TO 50 40 CONTINUE WRITE( NOUT, FMT = 9990 )SNAMET STOP 50 LTEST( I ) = LTESTT GO TO 30 * 60 CONTINUE CLOSE ( NIN ) * * Compute EPS (the machine precision). * EPS = ONE 70 CONTINUE IF( SDIFF( ONE + EPS, ONE ).EQ.ZERO ) $ GO TO 80 EPS = HALF*EPS GO TO 70 80 CONTINUE EPS = EPS + EPS WRITE( NOUT, FMT = 9998 )EPS * * Check the reliability of SMMCH using exact data. * N = MIN( 32, NMAX ) DO 100 J = 1, N DO 90 I = 1, N AB( I, J ) = MAX( I - J + 1, 0 ) 90 CONTINUE AB( J, NMAX + 1 ) = J AB( 1, NMAX + J ) = J C( J, 1 ) = ZERO 100 CONTINUE DO 110 J = 1, N CC( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3 110 CONTINUE * CC holds the exact result. On exit from SMMCH CT holds * the result computed by SMMCH. TRANSA = 'N' TRANSB = 'N' CALL SMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) SAME = LSE( CC, CT, N ) IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR STOP END IF TRANSB = 'T' CALL SMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) SAME = LSE( CC, CT, N ) IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR STOP END IF DO 120 J = 1, N AB( J, NMAX + 1 ) = N - J + 1 AB( 1, NMAX + J ) = N - J + 1 120 CONTINUE DO 130 J = 1, N CC( N - J + 1 ) = J*( ( J + 1 )*J )/2 - $ ( ( J + 1 )*J*( J - 1 ) )/3 130 CONTINUE TRANSA = 'T' TRANSB = 'N' CALL SMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) SAME = LSE( CC, CT, N ) IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR STOP END IF TRANSB = 'T' CALL SMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) SAME = LSE( CC, CT, N ) IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR STOP END IF * * Test each subroutine in turn. * DO 200 ISNUM = 1, NSUBS WRITE( NOUT, FMT = * ) IF( .NOT.LTEST( ISNUM ) )THEN * Subprogram is not to be tested. WRITE( NOUT, FMT = 9987 )SNAMES( ISNUM ) ELSE SRNAMT = SNAMES( ISNUM ) * Test error exits. IF( TSTERR )THEN CALL SCHKE( ISNUM, SNAMES( ISNUM ), NOUT ) WRITE( NOUT, FMT = * ) END IF * Test computations. INFOT = 0 OK = .TRUE. FATAL = .FALSE. GO TO ( 140, 150, 160, 160, 170, 180 )ISNUM * Test SGEMM, 01. 140 CALL SCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, $ CC, CS, CT, G ) GO TO 190 * Test SSYMM, 02. 150 CALL SCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, $ CC, CS, CT, G ) GO TO 190 * Test STRMM, 03, STRSM, 04. 160 CALL SCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NMAX, AB, $ AA, AS, AB( 1, NMAX + 1 ), BB, BS, CT, G, C ) GO TO 190 * Test SSYRK, 05. 170 CALL SCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, $ CC, CS, CT, G ) GO TO 190 * Test SSYR2K, 06. 180 CALL SCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, $ NMAX, AB, AA, AS, BB, BS, C, CC, CS, CT, G, W ) GO TO 190 * 190 IF( FATAL.AND.SFATAL ) $ GO TO 210 END IF 200 CONTINUE WRITE( NOUT, FMT = 9986 ) GO TO 230 * 210 CONTINUE WRITE( NOUT, FMT = 9985 ) GO TO 230 * 220 CONTINUE WRITE( NOUT, FMT = 9991 ) * 230 CONTINUE IF( TRACE ) $ CLOSE ( NTRA ) CLOSE ( NOUT ) STOP * 9999 FORMAT( ' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES', $ 'S THAN', F8.2 ) 9998 FORMAT( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, E9.1 ) 9997 FORMAT( ' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ', $ 'THAN ', I2 ) 9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 ) 9995 FORMAT( ' TESTS OF THE REAL LEVEL 3 BLAS', //' THE F', $ 'OLLOWING PARAMETER VALUES WILL BE USED:' ) 9994 FORMAT( ' FOR N ', 9I6 ) 9993 FORMAT( ' FOR ALPHA ', 7F6.1 ) 9992 FORMAT( ' FOR BETA ', 7F6.1 ) 9991 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM', $ /' ******* TESTS ABANDONED *******' ) 9990 FORMAT( ' SUBPROGRAM NAME ', A6, ' NOT RECOGNIZED', /' ******* T', $ 'ESTS ABANDONED *******' ) 9989 FORMAT( ' ERROR IN SMMCH - IN-LINE DOT PRODUCTS ARE BEING EVALU', $ 'ATED WRONGLY.', /' SMMCH WAS CALLED WITH TRANSA = ', A1, $ ' AND TRANSB = ', A1, /' AND RETURNED SAME = ', L1, ' AND ', $ 'ERR = ', F12.3, '.', /' THIS MAY BE DUE TO FAULTS IN THE ', $ 'ARITHMETIC OR THE COMPILER.', /' ******* TESTS ABANDONED ', $ '*******' ) 9988 FORMAT( A6, L2 ) 9987 FORMAT( 1X, A6, ' WAS NOT TESTED' ) 9986 FORMAT( /' END OF TESTS' ) 9985 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' ) 9984 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' ) * * End of SBLAT3. * END SUBROUTINE SCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G ) * * Tests SGEMM. * * Auxiliary routine for test program for Level 3 Blas. * * -- Written on 8-February-1989. * Jack Dongarra, Argonne National Laboratory. * Iain Duff, AERE Harwell. * Jeremy Du Croz, Numerical Algorithms Group Ltd. * Sven Hammarling, Numerical Algorithms Group Ltd. * * .. Parameters .. REAL ZERO PARAMETER ( ZERO = 0.0 ) * .. Scalar Arguments .. REAL EPS, THRESH INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA LOGICAL FATAL, REWI, TRACE CHARACTER*6 SNAME * .. Array Arguments .. REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), $ AS( NMAX*NMAX ), B( NMAX, NMAX ), $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ), $ C( NMAX, NMAX ), CC( NMAX*NMAX ), $ CS( NMAX*NMAX ), CT( NMAX ), G( NMAX ) INTEGER IDIM( NIDIM ) * .. Local Scalars .. REAL ALPHA, ALS, BETA, BLS, ERR, ERRMAX INTEGER I, IA, IB, ICA, ICB, IK, IM, IN, K, KS, LAA, $ LBB, LCC, LDA, LDAS, LDB, LDBS, LDC, LDCS, M, $ MA, MB, MS, N, NA, NARGS, NB, NC, NS LOGICAL NULL, RESET, SAME, TRANA, TRANB CHARACTER*1 TRANAS, TRANBS, TRANSA, TRANSB CHARACTER*3 ICH * .. Local Arrays .. LOGICAL ISAME( 13 ) * .. External Functions .. LOGICAL LSE, LSERES EXTERNAL LSE, LSERES * .. External Subroutines .. EXTERNAL SGEMM, SMAKE, SMMCH * .. Intrinsic Functions .. INTRINSIC MAX * .. Scalars in Common .. INTEGER INFOT, NOUTC LOGICAL LERR, OK * .. Common blocks .. COMMON /INFOC/INFOT, NOUTC, OK, LERR * .. Data statements .. DATA ICH/'NTC'/ * .. Executable Statements .. * NARGS = 13 NC = 0 RESET = .TRUE. ERRMAX = ZERO * DO 110 IM = 1, NIDIM M = IDIM( IM ) * DO 100 IN = 1, NIDIM N = IDIM( IN ) * Set LDC to 1 more than minimum value if room. LDC = M IF( LDC.LT.NMAX ) $ LDC = LDC + 1 * Skip tests if not enough room. IF( LDC.GT.NMAX ) $ GO TO 100 LCC = LDC*N NULL = N.LE.0.OR.M.LE.0 * DO 90 IK = 1, NIDIM K = IDIM( IK ) * DO 80 ICA = 1, 3 TRANSA = ICH( ICA: ICA ) TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C' * IF( TRANA )THEN MA = K NA = M ELSE MA = M NA = K END IF * Set LDA to 1 more than minimum value if room. LDA = MA IF( LDA.LT.NMAX ) $ LDA = LDA + 1 * Skip tests if not enough room. IF( LDA.GT.NMAX ) $ GO TO 80 LAA = LDA*NA * * Generate the matrix A. * CALL SMAKE( 'GE', ' ', ' ', MA, NA, A, NMAX, AA, LDA, $ RESET, ZERO ) * DO 70 ICB = 1, 3 TRANSB = ICH( ICB: ICB ) TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C' * IF( TRANB )THEN MB = N NB = K ELSE MB = K NB = N END IF * Set LDB to 1 more than minimum value if room. LDB = MB IF( LDB.LT.NMAX ) $ LDB = LDB + 1 * Skip tests if not enough room. IF( LDB.GT.NMAX ) $ GO TO 70 LBB = LDB*NB * * Generate the matrix B. * CALL SMAKE( 'GE', ' ', ' ', MB, NB, B, NMAX, BB, $ LDB, RESET, ZERO ) * DO 60 IA = 1, NALF ALPHA = ALF( IA ) * DO 50 IB = 1, NBET BETA = BET( IB ) * * Generate the matrix C. * CALL SMAKE( 'GE', ' ', ' ', M, N, C, NMAX, $ CC, LDC, RESET, ZERO ) * NC = NC + 1 * * Save every datum before calling the * subroutine. * TRANAS = TRANSA TRANBS = TRANSB MS = M NS = N KS = K ALS = ALPHA DO 10 I = 1, LAA AS( I ) = AA( I ) 10 CONTINUE LDAS = LDA DO 20 I = 1, LBB BS( I ) = BB( I ) 20 CONTINUE LDBS = LDB BLS = BETA DO 30 I = 1, LCC CS( I ) = CC( I ) 30 CONTINUE LDCS = LDC * * Call the subroutine. * IF( TRACE ) $ WRITE( NTRA, FMT = 9995 )NC, SNAME, $ TRANSA, TRANSB, M, N, K, ALPHA, LDA, LDB, $ BETA, LDC IF( REWI ) $ REWIND NTRA CALL SGEMM( TRANSA, TRANSB, M, N, K, ALPHA, $ AA, LDA, BB, LDB, BETA, CC, LDC ) * * Check if error-exit was taken incorrectly. * IF( .NOT.OK )THEN WRITE( NOUT, FMT = 9994 ) FATAL = .TRUE. GO TO 120 END IF * * See what data changed inside subroutines. * ISAME( 1 ) = TRANSA.EQ.TRANAS ISAME( 2 ) = TRANSB.EQ.TRANBS ISAME( 3 ) = MS.EQ.M ISAME( 4 ) = NS.EQ.N ISAME( 5 ) = KS.EQ.K ISAME( 6 ) = ALS.EQ.ALPHA ISAME( 7 ) = LSE( AS, AA, LAA ) ISAME( 8 ) = LDAS.EQ.LDA ISAME( 9 ) = LSE( BS, BB, LBB ) ISAME( 10 ) = LDBS.EQ.LDB ISAME( 11 ) = BLS.EQ.BETA IF( NULL )THEN ISAME( 12 ) = LSE( CS, CC, LCC ) ELSE ISAME( 12 ) = LSERES( 'GE', ' ', M, N, CS, $ CC, LDC ) END IF ISAME( 13 ) = LDCS.EQ.LDC * * If data was incorrectly changed, report * and return. * SAME = .TRUE. DO 40 I = 1, NARGS SAME = SAME.AND.ISAME( I ) IF( .NOT.ISAME( I ) ) $ WRITE( NOUT, FMT = 9998 )I 40 CONTINUE IF( .NOT.SAME )THEN FATAL = .TRUE. GO TO 120 END IF * IF( .NOT.NULL )THEN * * Check the result. * CALL SMMCH( TRANSA, TRANSB, M, N, K, $ ALPHA, A, NMAX, B, NMAX, BETA, $ C, NMAX, CT, G, CC, LDC, EPS, $ ERR, FATAL, NOUT, .TRUE. ) ERRMAX = MAX( ERRMAX, ERR ) * If got really bad answer, report and * return. IF( FATAL ) $ GO TO 120 END IF * 50 CONTINUE * 60 CONTINUE * 70 CONTINUE * 80 CONTINUE * 90 CONTINUE * 100 CONTINUE * 110 CONTINUE * * Report result. * IF( ERRMAX.LT.THRESH )THEN WRITE( NOUT, FMT = 9999 )SNAME, NC ELSE WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX END IF GO TO 130 * 120 CONTINUE WRITE( NOUT, FMT = 9996 )SNAME WRITE( NOUT, FMT = 9995 )NC, SNAME, TRANSA, TRANSB, M, N, K, $ ALPHA, LDA, LDB, BETA, LDC * 130 CONTINUE RETURN * 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', $ 'S)' ) 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', $ 'ANGED INCORRECTLY *******' ) 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, $ ' - SUSPECT *******' ) 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) 9995 FORMAT( 1X, I6, ': ', A6, '(''', A1, ''',''', A1, ''',', $ 3( I3, ',' ), F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', ', $ 'C,', I3, ').' ) 9994 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, NALF, ALF, NBET, BET, NMAX, $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G ) * * Tests SSYMM. * * Auxiliary routine for test program for Level 3 Blas. * * -- Written on 8-February-1989. * Jack Dongarra, Argonne National Laboratory. * Iain Duff, AERE Harwell. * Jeremy Du Croz, Numerical Algorithms Group Ltd. * Sven Hammarling, Numerical Algorithms Group Ltd. * * .. Parameters .. REAL ZERO PARAMETER ( ZERO = 0.0 ) * .. Scalar Arguments .. REAL EPS, THRESH INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA LOGICAL FATAL, REWI, TRACE CHARACTER*6 SNAME * .. Array Arguments .. REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), $ AS( NMAX*NMAX ), B( NMAX, NMAX ), $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ), $ C( NMAX, NMAX ), CC( NMAX*NMAX ), $ CS( NMAX*NMAX ), CT( NMAX ), G( NMAX ) INTEGER IDIM( NIDIM ) * .. Local Scalars .. REAL ALPHA, ALS, BETA, BLS, ERR, ERRMAX INTEGER I, IA, IB, ICS, ICU, IM, IN, LAA, LBB, LCC, $ LDA, LDAS, LDB, LDBS, LDC, LDCS, M, MS, N, NA, $ NARGS, NC, NS LOGICAL LEFT, NULL, RESET, SAME CHARACTER*1 SIDE, SIDES, UPLO, UPLOS CHARACTER*2 ICHS, ICHU * .. Local Arrays .. LOGICAL ISAME( 13 ) * .. External Functions .. LOGICAL LSE, LSERES EXTERNAL LSE, LSERES * .. External Subroutines .. EXTERNAL SMAKE, SMMCH, SSYMM * .. Intrinsic Functions .. INTRINSIC MAX * .. Scalars in Common .. INTEGER INFOT, NOUTC LOGICAL LERR, OK * .. Common blocks .. COMMON /INFOC/INFOT, NOUTC, OK, LERR * .. Data statements .. DATA ICHS/'LR'/, ICHU/'UL'/ * .. Executable Statements .. * NARGS = 12 NC = 0 RESET = .TRUE. ERRMAX = ZERO * DO 100 IM = 1, NIDIM M = IDIM( IM ) * DO 90 IN = 1, NIDIM N = IDIM( IN ) * Set LDC to 1 more than minimum value if room. LDC = M IF( LDC.LT.NMAX ) $ LDC = LDC + 1 * Skip tests if not enough room. IF( LDC.GT.NMAX ) $ GO TO 90 LCC = LDC*N NULL = N.LE.0.OR.M.LE.0 * * Set LDB to 1 more than minimum value if room. LDB = M IF( LDB.LT.NMAX ) $ LDB = LDB + 1 * Skip tests if not enough room. IF( LDB.GT.NMAX ) $ GO TO 90 LBB = LDB*N * * Generate the matrix B. * CALL SMAKE( 'GE', ' ', ' ', M, N, B, NMAX, BB, LDB, RESET, $ ZERO ) * DO 80 ICS = 1, 2 SIDE = ICHS( ICS: ICS ) LEFT = SIDE.EQ.'L' * IF( LEFT )THEN NA = M ELSE NA = N END IF * Set LDA to 1 more than minimum value if room. LDA = NA IF( LDA.LT.NMAX ) $ LDA = LDA + 1 * Skip tests if not enough room. IF( LDA.GT.NMAX ) $ GO TO 80 LAA = LDA*NA * DO 70 ICU = 1, 2 UPLO = ICHU( ICU: ICU ) * * Generate the symmetric matrix A. * CALL SMAKE( 'SY', UPLO, ' ', NA, NA, A, NMAX, AA, LDA, $ RESET, ZERO ) * DO 60 IA = 1, NALF ALPHA = ALF( IA ) * DO 50 IB = 1, NBET BETA = BET( IB ) * * Generate the matrix C. * CALL SMAKE( 'GE', ' ', ' ', M, N, C, NMAX, CC, $ LDC, RESET, ZERO ) * NC = NC + 1 * * Save every datum before calling the * subroutine. * SIDES = SIDE UPLOS = UPLO MS = M NS = N ALS = ALPHA DO 10 I = 1, LAA AS( I ) = AA( I ) 10 CONTINUE LDAS = LDA DO 20 I = 1, LBB BS( I ) = BB( I ) 20 CONTINUE LDBS = LDB BLS = BETA DO 30 I = 1, LCC CS( I ) = CC( I ) 30 CONTINUE LDCS = LDC * * Call the subroutine. * IF( TRACE ) $ WRITE( NTRA, FMT = 9995 )NC, SNAME, SIDE, $ UPLO, M, N, ALPHA, LDA, LDB, BETA, LDC IF( REWI ) $ REWIND NTRA CALL SSYMM( SIDE, UPLO, M, N, ALPHA, AA, LDA, $ BB, LDB, BETA, CC, LDC ) * * Check if error-exit was taken incorrectly. * IF( .NOT.OK )THEN WRITE( NOUT, FMT = 9994 ) FATAL = .TRUE. GO TO 110 END IF * * See what data changed inside subroutines. * ISAME( 1 ) = SIDES.EQ.SIDE ISAME( 2 ) = UPLOS.EQ.UPLO ISAME( 3 ) = MS.EQ.M ISAME( 4 ) = NS.EQ.N ISAME( 5 ) = ALS.EQ.ALPHA ISAME( 6 ) = LSE( AS, AA, LAA ) ISAME( 7 ) = LDAS.EQ.LDA ISAME( 8 ) = LSE( BS, BB, LBB ) ISAME( 9 ) = LDBS.EQ.LDB ISAME( 10 ) = BLS.EQ.BETA IF( NULL )THEN ISAME( 11 ) = LSE( CS, CC, LCC ) ELSE ISAME( 11 ) = LSERES( 'GE', ' ', M, N, CS, $ CC, LDC ) END IF ISAME( 12 ) = LDCS.EQ.LDC * * If data was incorrectly changed, report and * return. * SAME = .TRUE. DO 40 I = 1, NARGS SAME = SAME.AND.ISAME( I ) IF( .NOT.ISAME( I ) ) $ WRITE( NOUT, FMT = 9998 )I 40 CONTINUE IF( .NOT.SAME )THEN FATAL = .TRUE. GO TO 110 END IF * IF( .NOT.NULL )THEN * * Check the result. * IF( LEFT )THEN CALL SMMCH( 'N', 'N', M, N, M, ALPHA, A, $ NMAX, B, NMAX, BETA, C, NMAX, $ CT, G, CC, LDC, EPS, ERR, $ FATAL, NOUT, .TRUE. ) ELSE CALL SMMCH( 'N', 'N', M, N, N, ALPHA, B, $ NMAX, A, NMAX, BETA, C, NMAX, $ CT, G, CC, LDC, EPS, ERR, $ FATAL, NOUT, .TRUE. ) END IF ERRMAX = MAX( ERRMAX, ERR ) * If got really bad answer, report and * return. IF( FATAL ) $ GO TO 110 END IF * 50 CONTINUE * 60 CONTINUE * 70 CONTINUE * 80 CONTINUE * 90 CONTINUE * 100 CONTINUE * * Report result. * IF( ERRMAX.LT.THRESH )THEN WRITE( NOUT, FMT = 9999 )SNAME, NC ELSE WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX END IF GO TO 120 * 110 CONTINUE WRITE( NOUT, FMT = 9996 )SNAME WRITE( NOUT, FMT = 9995 )NC, SNAME, SIDE, UPLO, M, N, ALPHA, LDA, $ LDB, BETA, LDC * 120 CONTINUE RETURN * 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', $ 'S)' ) 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', $ 'ANGED INCORRECTLY *******' ) 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, $ ' - SUSPECT *******' ) 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) 9995 FORMAT( 1X, I6, ': ', A6, '(', 2( '''', A1, ''',' ), 2( I3, ',' ), $ F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', C,', I3, ') ', $ ' .' ) 9994 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, NALF, ALF, NMAX, A, AA, AS, $ B, BB, BS, CT, G, C ) * * Tests STRMM and STRSM. * * Auxiliary routine for test program for Level 3 Blas. * * -- Written on 8-February-1989. * Jack Dongarra, Argonne National Laboratory. * Iain Duff, AERE Harwell. * Jeremy Du Croz, Numerical Algorithms Group Ltd. * Sven Hammarling, Numerical Algorithms Group Ltd. * * .. Parameters .. REAL ZERO, ONE PARAMETER ( ZERO = 0.0, ONE = 1.0 ) * .. Scalar Arguments .. REAL EPS, THRESH INTEGER NALF, NIDIM, NMAX, NOUT, NTRA LOGICAL FATAL, REWI, TRACE CHARACTER*6 SNAME * .. Array Arguments .. REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), $ AS( NMAX*NMAX ), B( NMAX, NMAX ), $ BB( NMAX*NMAX ), BS( NMAX*NMAX ), $ C( NMAX, NMAX ), CT( NMAX ), G( NMAX ) INTEGER IDIM( NIDIM ) * .. Local Scalars .. REAL ALPHA, ALS, ERR, ERRMAX INTEGER I, IA, ICD, ICS, ICT, ICU, IM, IN, J, LAA, LBB, $ LDA, LDAS, LDB, LDBS, M, MS, N, NA, NARGS, NC, $ NS LOGICAL LEFT, NULL, RESET, SAME CHARACTER*1 DIAG, DIAGS, SIDE, SIDES, TRANAS, TRANSA, UPLO, $ UPLOS CHARACTER*2 ICHD, ICHS, ICHU CHARACTER*3 ICHT * .. Local Arrays .. LOGICAL ISAME( 13 ) * .. External Functions .. LOGICAL LSE, LSERES EXTERNAL LSE, LSERES * .. External Subroutines .. EXTERNAL SMAKE, SMMCH, STRMM, STRSM * .. Intrinsic Functions .. INTRINSIC MAX * .. Scalars in Common .. INTEGER INFOT, NOUTC LOGICAL LERR, OK * .. Common blocks .. COMMON /INFOC/INFOT, NOUTC, OK, LERR * .. Data statements .. DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/, ICHS/'LR'/ * .. Executable Statements .. * NARGS = 11 NC = 0 RESET = .TRUE. ERRMAX = ZERO * Set up zero matrix for SMMCH. DO 20 J = 1, NMAX DO 10 I = 1, NMAX C( I, J ) = ZERO 10 CONTINUE 20 CONTINUE * DO 140 IM = 1, NIDIM M = IDIM( IM ) * DO 130 IN = 1, NIDIM N = IDIM( IN ) * Set LDB to 1 more than minimum value if room. LDB = M IF( LDB.LT.NMAX ) $ LDB = LDB + 1 * Skip tests if not enough room. IF( LDB.GT.NMAX ) $ GO TO 130 LBB = LDB*N NULL = M.LE.0.OR.N.LE.0 * DO 120 ICS = 1, 2 SIDE = ICHS( ICS: ICS ) LEFT = SIDE.EQ.'L' IF( LEFT )THEN NA = M ELSE NA = N END IF * Set LDA to 1 more than minimum value if room. LDA = NA IF( LDA.LT.NMAX ) $ LDA = LDA + 1 * Skip tests if not enough room. IF( LDA.GT.NMAX ) $ GO TO 130 LAA = LDA*NA * DO 110 ICU = 1, 2 UPLO = ICHU( ICU: ICU ) * DO 100 ICT = 1, 3 TRANSA = ICHT( ICT: ICT ) * DO 90 ICD = 1, 2 DIAG = ICHD( ICD: ICD ) * DO 80 IA = 1, NALF ALPHA = ALF( IA ) * * Generate the matrix A. * CALL SMAKE( 'TR', UPLO, DIAG, NA, NA, A, $ NMAX, AA, LDA, RESET, ZERO ) * * Generate the matrix B. * CALL SMAKE( 'GE', ' ', ' ', M, N, B, NMAX, $ BB, LDB, RESET, ZERO ) * NC = NC + 1 * * Save every datum before calling the * subroutine. * SIDES = SIDE UPLOS = UPLO TRANAS = TRANSA DIAGS = DIAG MS = M NS = N ALS = ALPHA DO 30 I = 1, LAA AS( I ) = AA( I ) 30 CONTINUE LDAS = LDA DO 40 I = 1, LBB BS( I ) = BB( I ) 40 CONTINUE LDBS = LDB * * Call the subroutine. * IF( SNAME( 4: 5 ).EQ.'MM' )THEN IF( TRACE ) $ WRITE( NTRA, FMT = 9995 )NC, SNAME, $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, $ LDA, LDB IF( REWI ) $ REWIND NTRA CALL STRMM( SIDE, UPLO, TRANSA, DIAG, M, $ N, ALPHA, AA, LDA, BB, LDB ) ELSE IF( SNAME( 4: 5 ).EQ.'SM' )THEN IF( TRACE ) $ WRITE( NTRA, FMT = 9995 )NC, SNAME, $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, $ LDA, LDB IF( REWI ) $ REWIND NTRA CALL STRSM( SIDE, UPLO, TRANSA, DIAG, M, $ N, ALPHA, AA, LDA, BB, LDB ) END IF * * Check if error-exit was taken incorrectly. * IF( .NOT.OK )THEN WRITE( NOUT, FMT = 9994 ) FATAL = .TRUE. GO TO 150 END IF * * See what data changed inside subroutines. * ISAME( 1 ) = SIDES.EQ.SIDE ISAME( 2 ) = UPLOS.EQ.UPLO ISAME( 3 ) = TRANAS.EQ.TRANSA ISAME( 4 ) = DIAGS.EQ.DIAG ISAME( 5 ) = MS.EQ.M ISAME( 6 ) = NS.EQ.N ISAME( 7 ) = ALS.EQ.ALPHA ISAME( 8 ) = LSE( AS, AA, LAA ) ISAME( 9 ) = LDAS.EQ.LDA IF( NULL )THEN ISAME( 10 ) = LSE( BS, BB, LBB ) ELSE ISAME( 10 ) = LSERES( 'GE', ' ', M, N, BS, $ BB, LDB ) END IF ISAME( 11 ) = LDBS.EQ.LDB * * If data was incorrectly changed, report and * return. * SAME = .TRUE. DO 50 I = 1, NARGS SAME = SAME.AND.ISAME( I ) IF( .NOT.ISAME( I ) ) $ WRITE( NOUT, FMT = 9998 )I 50 CONTINUE IF( .NOT.SAME )THEN FATAL = .TRUE. GO TO 150 END IF * IF( .NOT.NULL )THEN IF( SNAME( 4: 5 ).EQ.'MM' )THEN * * Check the result. * IF( LEFT )THEN CALL SMMCH( TRANSA, 'N', M, N, M, $ ALPHA, A, NMAX, B, NMAX, $ ZERO, C, NMAX, CT, G, $ BB, LDB, EPS, ERR, $ FATAL, NOUT, .TRUE. ) ELSE CALL SMMCH( 'N', TRANSA, M, N, N, $ ALPHA, B, NMAX, A, NMAX, $ ZERO, C, NMAX, CT, G, $ BB, LDB, EPS, ERR, $ FATAL, NOUT, .TRUE. ) END IF ELSE IF( SNAME( 4: 5 ).EQ.'SM' )THEN * * Compute approximation to original * matrix. * DO 70 J = 1, N DO 60 I = 1, M C( I, J ) = BB( I + ( J - 1 )* $ LDB ) BB( I + ( J - 1 )*LDB ) = ALPHA* $ B( I, J ) 60 CONTINUE 70 CONTINUE * IF( LEFT )THEN CALL SMMCH( TRANSA, 'N', M, N, M, $ ONE, A, NMAX, C, NMAX, $ ZERO, B, NMAX, CT, G, $ BB, LDB, EPS, ERR, $ FATAL, NOUT, .FALSE. ) ELSE CALL SMMCH( 'N', TRANSA, M, N, N, $ ONE, C, NMAX, A, NMAX, $ ZERO, B, NMAX, CT, G, $ BB, LDB, EPS, ERR, $ FATAL, NOUT, .FALSE. ) END IF END IF ERRMAX = MAX( ERRMAX, ERR ) * If got really bad answer, report and * return. IF( FATAL ) $ GO TO 150 END IF * 80 CONTINUE * 90 CONTINUE * 100 CONTINUE * 110 CONTINUE * 120 CONTINUE * 130 CONTINUE * 140 CONTINUE * * Report result. * IF( ERRMAX.LT.THRESH )THEN WRITE( NOUT, FMT = 9999 )SNAME, NC ELSE WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX END IF GO TO 160 * 150 CONTINUE WRITE( NOUT, FMT = 9996 )SNAME WRITE( NOUT, FMT = 9995 )NC, SNAME, SIDE, UPLO, TRANSA, DIAG, M, $ N, ALPHA, LDA, LDB * 160 CONTINUE RETURN * 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', $ 'S)' ) 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', $ 'ANGED INCORRECTLY *******' ) 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, $ ' - SUSPECT *******' ) 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) 9995 FORMAT( 1X, I6, ': ', A6, '(', 4( '''', A1, ''',' ), 2( I3, ',' ), $ F4.1, ', A,', I3, ', B,', I3, ') .' ) 9994 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, NBET, BET, NMAX, $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G ) * * Tests SSYRK. * * Auxiliary routine for test program for Level 3 Blas. * * -- Written on 8-February-1989. * Jack Dongarra, Argonne National Laboratory. * Iain Duff, AERE Harwell. * Jeremy Du Croz, Numerical Algorithms Group Ltd. * Sven Hammarling, Numerical Algorithms Group Ltd. * * .. Parameters .. REAL ZERO PARAMETER ( ZERO = 0.0 ) * .. Scalar Arguments .. REAL EPS, THRESH INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA LOGICAL FATAL, REWI, TRACE CHARACTER*6 SNAME * .. Array Arguments .. REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), $ AS( NMAX*NMAX ), B( NMAX, NMAX ), $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ), $ C( NMAX, NMAX ), CC( NMAX*NMAX ), $ CS( NMAX*NMAX ), CT( NMAX ), G( NMAX ) INTEGER IDIM( NIDIM ) * .. Local Scalars .. REAL ALPHA, ALS, BETA, BETS, ERR, ERRMAX INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, K, KS, $ LAA, LCC, LDA, LDAS, LDC, LDCS, LJ, MA, N, NA, $ NARGS, NC, NS LOGICAL NULL, RESET, SAME, TRAN, UPPER CHARACTER*1 TRANS, TRANSS, UPLO, UPLOS CHARACTER*2 ICHU CHARACTER*3 ICHT * .. Local Arrays .. LOGICAL ISAME( 13 ) * .. External Functions .. LOGICAL LSE, LSERES EXTERNAL LSE, LSERES * .. External Subroutines .. EXTERNAL SMAKE, SMMCH, SSYRK * .. Intrinsic Functions .. INTRINSIC MAX * .. Scalars in Common .. INTEGER INFOT, NOUTC LOGICAL LERR, OK * .. Common blocks .. COMMON /INFOC/INFOT, NOUTC, OK, LERR * .. Data statements .. DATA ICHT/'NTC'/, ICHU/'UL'/ * .. Executable Statements .. * NARGS = 10 NC = 0 RESET = .TRUE. ERRMAX = ZERO * DO 100 IN = 1, NIDIM N = IDIM( IN ) * Set LDC to 1 more than minimum value if room. LDC = N IF( LDC.LT.NMAX ) $ LDC = LDC + 1 * Skip tests if not enough room. IF( LDC.GT.NMAX ) $ GO TO 100 LCC = LDC*N NULL = N.LE.0 * DO 90 IK = 1, NIDIM K = IDIM( IK ) * DO 80 ICT = 1, 3 TRANS = ICHT( ICT: ICT ) TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C' IF( TRAN )THEN MA = K NA = N ELSE MA = N NA = K END IF * Set LDA to 1 more than minimum value if room. LDA = MA IF( LDA.LT.NMAX ) $ LDA = LDA + 1 * Skip tests if not enough room. IF( LDA.GT.NMAX ) $ GO TO 80 LAA = LDA*NA * * Generate the matrix A. * CALL SMAKE( 'GE', ' ', ' ', MA, NA, A, NMAX, AA, LDA, $ RESET, ZERO ) * DO 70 ICU = 1, 2 UPLO = ICHU( ICU: ICU ) UPPER = UPLO.EQ.'U' * DO 60 IA = 1, NALF ALPHA = ALF( IA ) * DO 50 IB = 1, NBET BETA = BET( IB ) * * Generate the matrix C. * CALL SMAKE( 'SY', UPLO, ' ', N, N, C, NMAX, CC, $ LDC, RESET, ZERO ) * NC = NC + 1 * * Save every datum before calling the subroutine. * UPLOS = UPLO TRANSS = TRANS NS = N KS = K ALS = ALPHA DO 10 I = 1, LAA AS( I ) = AA( I ) 10 CONTINUE LDAS = LDA BETS = BETA DO 20 I = 1, LCC CS( I ) = CC( I ) 20 CONTINUE LDCS = LDC * * Call the subroutine. * IF( TRACE ) $ WRITE( NTRA, FMT = 9994 )NC, SNAME, UPLO, $ TRANS, N, K, ALPHA, LDA, BETA, LDC IF( REWI ) $ REWIND NTRA CALL SSYRK( UPLO, TRANS, N, K, ALPHA, AA, LDA, $ BETA, CC, LDC ) * * Check if error-exit was taken incorrectly. * IF( .NOT.OK )THEN WRITE( NOUT, FMT = 9993 ) FATAL = .TRUE. GO TO 120 END IF * * See what data changed inside subroutines. * ISAME( 1 ) = UPLOS.EQ.UPLO ISAME( 2 ) = TRANSS.EQ.TRANS ISAME( 3 ) = NS.EQ.N ISAME( 4 ) = KS.EQ.K ISAME( 5 ) = ALS.EQ.ALPHA ISAME( 6 ) = LSE( AS, AA, LAA ) ISAME( 7 ) = LDAS.EQ.LDA ISAME( 8 ) = BETS.EQ.BETA IF( NULL )THEN ISAME( 9 ) = LSE( CS, CC, LCC ) ELSE ISAME( 9 ) = LSERES( 'SY', UPLO, N, N, CS, $ CC, LDC ) END IF ISAME( 10 ) = LDCS.EQ.LDC * * If data was incorrectly changed, report and * return. * SAME = .TRUE. DO 30 I = 1, NARGS SAME = SAME.AND.ISAME( I ) IF( .NOT.ISAME( I ) ) $ WRITE( NOUT, FMT = 9998 )I 30 CONTINUE IF( .NOT.SAME )THEN FATAL = .TRUE. GO TO 120 END IF * IF( .NOT.NULL )THEN * * Check the result column by column. * JC = 1 DO 40 J = 1, N IF( UPPER )THEN JJ = 1 LJ = J ELSE JJ = J LJ = N - J + 1 END IF IF( TRAN )THEN CALL SMMCH( 'T', 'N', LJ, 1, K, ALPHA, $ A( 1, JJ ), NMAX, $ A( 1, J ), NMAX, BETA, $ C( JJ, J ), NMAX, CT, G, $ CC( JC ), LDC, EPS, ERR, $ FATAL, NOUT, .TRUE. ) ELSE CALL SMMCH( 'N', 'T', LJ, 1, K, ALPHA, $ A( JJ, 1 ), NMAX, $ A( J, 1 ), NMAX, BETA, $ C( JJ, J ), NMAX, CT, G, $ CC( JC ), LDC, EPS, ERR, $ FATAL, NOUT, .TRUE. ) END IF IF( UPPER )THEN JC = JC + LDC ELSE JC = JC + LDC + 1 END IF ERRMAX = MAX( ERRMAX, ERR ) * If got really bad answer, report and * return. IF( FATAL ) $ GO TO 110 40 CONTINUE END IF * 50 CONTINUE * 60 CONTINUE * 70 CONTINUE * 80 CONTINUE * 90 CONTINUE * 100 CONTINUE * * Report result. * IF( ERRMAX.LT.THRESH )THEN WRITE( NOUT, FMT = 9999 )SNAME, NC ELSE WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX END IF GO TO 130 * 110 CONTINUE IF( N.GT.1 ) $ WRITE( NOUT, FMT = 9995 )J * 120 CONTINUE WRITE( NOUT, FMT = 9996 )SNAME WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, TRANS, N, K, ALPHA, $ LDA, BETA, LDC * 130 CONTINUE RETURN * 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', $ 'S)' ) 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', $ 'ANGED INCORRECTLY *******' ) 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, $ ' - SUSPECT *******' ) 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) 9994 FORMAT( 1X, I6, ': ', A6, '(', 2( '''', A1, ''',' ), 2( I3, ',' ), $ F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ') .' ) 9993 FORMAT( ' ******* 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, NBET, BET, NMAX, $ AB, AA, AS, BB, BS, C, CC, CS, CT, G, W ) * * Tests SSYR2K. * * Auxiliary routine for test program for Level 3 Blas. * * -- Written on 8-February-1989. * Jack Dongarra, Argonne National Laboratory. * Iain Duff, AERE Harwell. * Jeremy Du Croz, Numerical Algorithms Group Ltd. * Sven Hammarling, Numerical Algorithms Group Ltd. * * .. Parameters .. REAL ZERO PARAMETER ( ZERO = 0.0 ) * .. Scalar Arguments .. REAL EPS, THRESH INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA LOGICAL FATAL, REWI, TRACE CHARACTER*6 SNAME * .. Array Arguments .. REAL AA( NMAX*NMAX ), AB( 2*NMAX*NMAX ), $ ALF( NALF ), AS( NMAX*NMAX ), BB( NMAX*NMAX ), $ BET( NBET ), BS( NMAX*NMAX ), C( NMAX, NMAX ), $ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ), $ G( NMAX ), W( 2*NMAX ) INTEGER IDIM( NIDIM ) * .. Local Scalars .. REAL ALPHA, ALS, BETA, BETS, ERR, ERRMAX INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, JJAB, $ K, KS, LAA, LBB, LCC, LDA, LDAS, LDB, LDBS, $ LDC, LDCS, LJ, MA, N, NA, NARGS, NC, NS LOGICAL NULL, RESET, SAME, TRAN, UPPER CHARACTER*1 TRANS, TRANSS, UPLO, UPLOS CHARACTER*2 ICHU CHARACTER*3 ICHT * .. Local Arrays .. LOGICAL ISAME( 13 ) * .. External Functions .. LOGICAL LSE, LSERES EXTERNAL LSE, LSERES * .. External Subroutines .. EXTERNAL SMAKE, SMMCH, SSYR2K * .. Intrinsic Functions .. INTRINSIC MAX * .. Scalars in Common .. INTEGER INFOT, NOUTC LOGICAL LERR, OK * .. Common blocks .. COMMON /INFOC/INFOT, NOUTC, OK, LERR * .. Data statements .. DATA ICHT/'NTC'/, ICHU/'UL'/ * .. Executable Statements .. * NARGS = 12 NC = 0 RESET = .TRUE. ERRMAX = ZERO * DO 130 IN = 1, NIDIM N = IDIM( IN ) * Set LDC to 1 more than minimum value if room. LDC = N IF( LDC.LT.NMAX ) $ LDC = LDC + 1 * Skip tests if not enough room. IF( LDC.GT.NMAX ) $ GO TO 130 LCC = LDC*N NULL = N.LE.0 * DO 120 IK = 1, NIDIM K = IDIM( IK ) * DO 110 ICT = 1, 3 TRANS = ICHT( ICT: ICT ) TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C' IF( TRAN )THEN MA = K NA = N ELSE MA = N NA = K END IF * Set LDA to 1 more than minimum value if room. LDA = MA IF( LDA.LT.NMAX ) $ LDA = LDA + 1 * Skip tests if not enough room. IF( LDA.GT.NMAX ) $ GO TO 110 LAA = LDA*NA * * Generate the matrix A. * IF( TRAN )THEN CALL SMAKE( 'GE', ' ', ' ', MA, NA, AB, 2*NMAX, AA, $ LDA, RESET, ZERO ) ELSE CALL SMAKE( 'GE', ' ', ' ', MA, NA, AB, NMAX, AA, LDA, $ RESET, ZERO ) END IF * * Generate the matrix B. * LDB = LDA LBB = LAA IF( TRAN )THEN CALL SMAKE( 'GE', ' ', ' ', MA, NA, AB( K + 1 ), $ 2*NMAX, BB, LDB, RESET, ZERO ) ELSE CALL SMAKE( 'GE', ' ', ' ', MA, NA, AB( K*NMAX + 1 ), $ NMAX, BB, LDB, RESET, ZERO ) END IF * DO 100 ICU = 1, 2 UPLO = ICHU( ICU: ICU ) UPPER = UPLO.EQ.'U' * DO 90 IA = 1, NALF ALPHA = ALF( IA ) * DO 80 IB = 1, NBET BETA = BET( IB ) * * Generate the matrix C. * CALL SMAKE( 'SY', UPLO, ' ', N, N, C, NMAX, CC, $ LDC, RESET, ZERO ) * NC = NC + 1 * * Save every datum before calling the subroutine. * UPLOS = UPLO TRANSS = TRANS NS = N KS = K ALS = ALPHA DO 10 I = 1, LAA AS( I ) = AA( I ) 10 CONTINUE LDAS = LDA DO 20 I = 1, LBB BS( I ) = BB( I ) 20 CONTINUE LDBS = LDB BETS = BETA DO 30 I = 1, LCC CS( I ) = CC( I ) 30 CONTINUE LDCS = LDC * * Call the subroutine. * IF( TRACE ) $ WRITE( NTRA, FMT = 9994 )NC, SNAME, UPLO, $ TRANS, N, K, ALPHA, LDA, LDB, BETA, LDC IF( REWI ) $ REWIND NTRA CALL SSYR2K( UPLO, TRANS, N, K, ALPHA, AA, LDA, $ BB, LDB, BETA, CC, LDC ) * * Check if error-exit was taken incorrectly. * IF( .NOT.OK )THEN WRITE( NOUT, FMT = 9993 ) FATAL = .TRUE. GO TO 150 END IF * * See what data changed inside subroutines. * ISAME( 1 ) = UPLOS.EQ.UPLO ISAME( 2 ) = TRANSS.EQ.TRANS ISAME( 3 ) = NS.EQ.N ISAME( 4 ) = KS.EQ.K ISAME( 5 ) = ALS.EQ.ALPHA ISAME( 6 ) = LSE( AS, AA, LAA ) ISAME( 7 ) = LDAS.EQ.LDA ISAME( 8 ) = LSE( BS, BB, LBB ) ISAME( 9 ) = LDBS.EQ.LDB ISAME( 10 ) = BETS.EQ.BETA IF( NULL )THEN ISAME( 11 ) = LSE( CS, CC, LCC ) ELSE ISAME( 11 ) = LSERES( 'SY', UPLO, N, N, CS, $ CC, LDC ) END IF ISAME( 12 ) = LDCS.EQ.LDC * * If data was incorrectly changed, report and * return. * SAME = .TRUE. DO 40 I = 1, NARGS SAME = SAME.AND.ISAME( I ) IF( .NOT.ISAME( I ) ) $ WRITE( NOUT, FMT = 9998 )I 40 CONTINUE IF( .NOT.SAME )THEN FATAL = .TRUE. GO TO 150 END IF * IF( .NOT.NULL )THEN * * Check the result column by column. * JJAB = 1 JC = 1 DO 70 J = 1, N IF( UPPER )THEN JJ = 1 LJ = J ELSE JJ = J LJ = N - J + 1 END IF IF( TRAN )THEN DO 50 I = 1, K W( I ) = AB( ( J - 1 )*2*NMAX + K + $ I ) W( K + I ) = AB( ( J - 1 )*2*NMAX + $ I ) 50 CONTINUE CALL SMMCH( 'T', 'N', LJ, 1, 2*K, $ ALPHA, AB( JJAB ), 2*NMAX, $ W, 2*NMAX, BETA, $ C( JJ, J ), NMAX, CT, G, $ CC( JC ), LDC, EPS, ERR, $ FATAL, NOUT, .TRUE. ) ELSE DO 60 I = 1, K W( I ) = AB( ( K + I - 1 )*NMAX + $ J ) W( K + I ) = AB( ( I - 1 )*NMAX + $ J ) 60 CONTINUE CALL SMMCH( 'N', 'N', LJ, 1, 2*K, $ ALPHA, AB( JJ ), NMAX, W, $ 2*NMAX, BETA, C( JJ, J ), $ NMAX, CT, G, CC( JC ), LDC, $ EPS, ERR, FATAL, NOUT, $ .TRUE. ) END IF IF( UPPER )THEN JC = JC + LDC ELSE JC = JC + LDC + 1 IF( TRAN ) $ JJAB = JJAB + 2*NMAX END IF ERRMAX = MAX( ERRMAX, ERR ) * If got really bad answer, report and * return. IF( FATAL ) $ GO TO 140 70 CONTINUE END IF * 80 CONTINUE * 90 CONTINUE * 100 CONTINUE * 110 CONTINUE * 120 CONTINUE * 130 CONTINUE * * Report result. * IF( ERRMAX.LT.THRESH )THEN WRITE( NOUT, FMT = 9999 )SNAME, NC ELSE WRITE( NOUT, FMT = 9997 )SNAME, NC, ERRMAX END IF GO TO 160 * 140 CONTINUE IF( N.GT.1 ) $ WRITE( NOUT, FMT = 9995 )J * 150 CONTINUE WRITE( NOUT, FMT = 9996 )SNAME WRITE( NOUT, FMT = 9994 )NC, SNAME, UPLO, TRANS, N, K, ALPHA, $ LDA, LDB, BETA, LDC * 160 CONTINUE RETURN * 9999 FORMAT( ' ', A6, ' PASSED THE COMPUTATIONAL TESTS (', I6, ' CALL', $ 'S)' ) 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', $ 'ANGED INCORRECTLY *******' ) 9997 FORMAT( ' ', A6, ' COMPLETED THE COMPUTATIONAL TESTS (', I6, ' C', $ 'ALLS)', /' ******* BUT WITH MAXIMUM TEST RATIO', F8.2, $ ' - SUSPECT *******' ) 9996 FORMAT( ' ******* ', A6, ' FAILED ON CALL NUMBER:' ) 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) 9994 FORMAT( 1X, I6, ': ', A6, '(', 2( '''', A1, ''',' ), 2( I3, ',' ), $ F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', C,', I3, ') ', $ ' .' ) 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', $ '******' ) * * End of SCHK5. * END SUBROUTINE SCHKE( ISNUM, SRNAMT, NOUT ) * * Tests the error exits from the Level 3 Blas. * Requires a special version of the error-handling routine XERBLA. * A, B and C should not need to be defined. * * Auxiliary routine for test program for Level 3 Blas. * * -- Written on 8-February-1989. * Jack Dongarra, Argonne National Laboratory. * Iain Duff, AERE Harwell. * Jeremy Du Croz, Numerical Algorithms Group Ltd. * Sven Hammarling, Numerical Algorithms Group Ltd. * * 3-19-92: Initialize ALPHA and BETA (eca) * 3-19-92: Fix argument 12 in calls to SSYMM with INFOT = 9 (eca) * * .. Scalar Arguments .. INTEGER ISNUM, NOUT CHARACTER*6 SRNAMT * .. Scalars in Common .. INTEGER INFOT, NOUTC LOGICAL LERR, OK * .. Parameters .. REAL ONE, TWO PARAMETER ( ONE = 1.0E0, TWO = 2.0E0 ) * .. Local Scalars .. REAL ALPHA, BETA * .. Local Arrays .. REAL A( 2, 1 ), B( 2, 1 ), C( 2, 1 ) * .. External Subroutines .. EXTERNAL CHKXER, SGEMM, SSYMM, SSYR2K, SSYRK, STRMM, $ STRSM * .. 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. * * Initialize ALPHA and BETA. * ALPHA = ONE BETA = TWO * GO TO ( 10, 20, 30, 40, 50, 60 )ISNUM 10 INFOT = 1 CALL SGEMM( '/', 'N', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 1 CALL SGEMM( '/', 'T', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 2 CALL SGEMM( 'N', '/', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 2 CALL SGEMM( 'T', '/', 0, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 3 CALL SGEMM( 'N', 'N', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 3 CALL SGEMM( 'N', 'T', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 3 CALL SGEMM( 'T', 'N', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 3 CALL SGEMM( 'T', 'T', -1, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 4 CALL SGEMM( 'N', 'N', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 4 CALL SGEMM( 'N', 'T', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 4 CALL SGEMM( 'T', 'N', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 4 CALL SGEMM( 'T', 'T', 0, -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 5 CALL SGEMM( 'N', 'N', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 5 CALL SGEMM( 'N', 'T', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 5 CALL SGEMM( 'T', 'N', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 5 CALL SGEMM( 'T', 'T', 0, 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 8 CALL SGEMM( 'N', 'N', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 8 CALL SGEMM( 'N', 'T', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 8 CALL SGEMM( 'T', 'N', 0, 0, 2, ALPHA, A, 1, B, 2, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 8 CALL SGEMM( 'T', 'T', 0, 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 10 CALL SGEMM( 'N', 'N', 0, 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 10 CALL SGEMM( 'T', 'N', 0, 0, 2, ALPHA, A, 2, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 10 CALL SGEMM( 'N', 'T', 0, 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 10 CALL SGEMM( 'T', 'T', 0, 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 13 CALL SGEMM( 'N', 'N', 2, 0, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 13 CALL SGEMM( 'N', 'T', 2, 0, 0, ALPHA, A, 2, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 13 CALL SGEMM( 'T', 'N', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 13 CALL SGEMM( 'T', 'T', 2, 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) GO TO 70 20 INFOT = 1 CALL SSYMM( '/', 'U', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 2 CALL SSYMM( 'L', '/', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 3 CALL SSYMM( 'L', 'U', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 3 CALL SSYMM( 'R', 'U', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 3 CALL SSYMM( 'L', 'L', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 3 CALL SSYMM( 'R', 'L', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 4 CALL SSYMM( 'L', 'U', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 4 CALL SSYMM( 'R', 'U', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 4 CALL SSYMM( 'L', 'L', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 4 CALL SSYMM( 'R', 'L', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 7 CALL SSYMM( 'L', 'U', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 2 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 7 CALL SSYMM( 'R', 'U', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 7 CALL SSYMM( 'L', 'L', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 2 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 7 CALL SSYMM( 'R', 'L', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL SSYMM( 'L', 'U', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 2 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL SSYMM( 'R', 'U', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL SSYMM( 'L', 'L', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 2 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL SSYMM( 'R', 'L', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 12 CALL SSYMM( 'L', 'U', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 12 CALL SSYMM( 'R', 'U', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 12 CALL SSYMM( 'L', 'L', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 12 CALL SSYMM( 'R', 'L', 2, 0, ALPHA, A, 1, B, 2, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) GO TO 70 30 INFOT = 1 CALL STRMM( '/', 'U', 'N', 'N', 0, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 2 CALL STRMM( 'L', '/', 'N', 'N', 0, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 3 CALL STRMM( 'L', 'U', '/', 'N', 0, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 4 CALL STRMM( 'L', 'U', 'N', '/', 0, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 5 CALL STRMM( 'L', 'U', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 5 CALL STRMM( 'L', 'U', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 5 CALL STRMM( 'R', 'U', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 5 CALL STRMM( 'R', 'U', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 5 CALL STRMM( 'L', 'L', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 5 CALL STRMM( 'L', 'L', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 5 CALL STRMM( 'R', 'L', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 5 CALL STRMM( 'R', 'L', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 6 CALL STRMM( 'L', 'U', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 6 CALL STRMM( 'L', 'U', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 6 CALL STRMM( 'R', 'U', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 6 CALL STRMM( 'R', 'U', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 6 CALL STRMM( 'L', 'L', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 6 CALL STRMM( 'L', 'L', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 6 CALL STRMM( 'R', 'L', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 6 CALL STRMM( 'R', 'L', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL STRMM( 'L', 'U', 'N', 'N', 2, 0, ALPHA, A, 1, B, 2 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL STRMM( 'L', 'U', 'T', 'N', 2, 0, ALPHA, A, 1, B, 2 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL STRMM( 'R', 'U', 'N', 'N', 0, 2, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL STRMM( 'R', 'U', 'T', 'N', 0, 2, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL STRMM( 'L', 'L', 'N', 'N', 2, 0, ALPHA, A, 1, B, 2 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL STRMM( 'L', 'L', 'T', 'N', 2, 0, ALPHA, A, 1, B, 2 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL STRMM( 'R', 'L', 'N', 'N', 0, 2, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL STRMM( 'R', 'L', 'T', 'N', 0, 2, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 11 CALL STRMM( 'L', 'U', 'N', 'N', 2, 0, ALPHA, A, 2, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 11 CALL STRMM( 'L', 'U', 'T', 'N', 2, 0, ALPHA, A, 2, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 11 CALL STRMM( 'R', 'U', 'N', 'N', 2, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 11 CALL STRMM( 'R', 'U', 'T', 'N', 2, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 11 CALL STRMM( 'L', 'L', 'N', 'N', 2, 0, ALPHA, A, 2, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 11 CALL STRMM( 'L', 'L', 'T', 'N', 2, 0, ALPHA, A, 2, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 11 CALL STRMM( 'R', 'L', 'N', 'N', 2, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 11 CALL STRMM( 'R', 'L', 'T', 'N', 2, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) GO TO 70 40 INFOT = 1 CALL STRSM( '/', 'U', 'N', 'N', 0, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 2 CALL STRSM( 'L', '/', 'N', 'N', 0, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 3 CALL STRSM( 'L', 'U', '/', 'N', 0, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 4 CALL STRSM( 'L', 'U', 'N', '/', 0, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 5 CALL STRSM( 'L', 'U', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 5 CALL STRSM( 'L', 'U', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 5 CALL STRSM( 'R', 'U', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 5 CALL STRSM( 'R', 'U', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 5 CALL STRSM( 'L', 'L', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 5 CALL STRSM( 'L', 'L', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 5 CALL STRSM( 'R', 'L', 'N', 'N', -1, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 5 CALL STRSM( 'R', 'L', 'T', 'N', -1, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 6 CALL STRSM( 'L', 'U', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 6 CALL STRSM( 'L', 'U', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 6 CALL STRSM( 'R', 'U', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 6 CALL STRSM( 'R', 'U', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 6 CALL STRSM( 'L', 'L', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 6 CALL STRSM( 'L', 'L', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 6 CALL STRSM( 'R', 'L', 'N', 'N', 0, -1, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 6 CALL STRSM( 'R', 'L', 'T', 'N', 0, -1, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL STRSM( 'L', 'U', 'N', 'N', 2, 0, ALPHA, A, 1, B, 2 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL STRSM( 'L', 'U', 'T', 'N', 2, 0, ALPHA, A, 1, B, 2 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL STRSM( 'R', 'U', 'N', 'N', 0, 2, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL STRSM( 'R', 'U', 'T', 'N', 0, 2, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL STRSM( 'L', 'L', 'N', 'N', 2, 0, ALPHA, A, 1, B, 2 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL STRSM( 'L', 'L', 'T', 'N', 2, 0, ALPHA, A, 1, B, 2 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL STRSM( 'R', 'L', 'N', 'N', 0, 2, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL STRSM( 'R', 'L', 'T', 'N', 0, 2, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 11 CALL STRSM( 'L', 'U', 'N', 'N', 2, 0, ALPHA, A, 2, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 11 CALL STRSM( 'L', 'U', 'T', 'N', 2, 0, ALPHA, A, 2, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 11 CALL STRSM( 'R', 'U', 'N', 'N', 2, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 11 CALL STRSM( 'R', 'U', 'T', 'N', 2, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 11 CALL STRSM( 'L', 'L', 'N', 'N', 2, 0, ALPHA, A, 2, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 11 CALL STRSM( 'L', 'L', 'T', 'N', 2, 0, ALPHA, A, 2, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 11 CALL STRSM( 'R', 'L', 'N', 'N', 2, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 11 CALL STRSM( 'R', 'L', 'T', 'N', 2, 0, ALPHA, A, 1, B, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) GO TO 70 50 INFOT = 1 CALL SSYRK( '/', 'N', 0, 0, ALPHA, A, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 2 CALL SSYRK( 'U', '/', 0, 0, ALPHA, A, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 3 CALL SSYRK( 'U', 'N', -1, 0, ALPHA, A, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 3 CALL SSYRK( 'U', 'T', -1, 0, ALPHA, A, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 3 CALL SSYRK( 'L', 'N', -1, 0, ALPHA, A, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 3 CALL SSYRK( 'L', 'T', -1, 0, ALPHA, A, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 4 CALL SSYRK( 'U', 'N', 0, -1, ALPHA, A, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 4 CALL SSYRK( 'U', 'T', 0, -1, ALPHA, A, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 4 CALL SSYRK( 'L', 'N', 0, -1, ALPHA, A, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 4 CALL SSYRK( 'L', 'T', 0, -1, ALPHA, A, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 7 CALL SSYRK( 'U', 'N', 2, 0, ALPHA, A, 1, BETA, C, 2 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 7 CALL SSYRK( 'U', 'T', 0, 2, ALPHA, A, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 7 CALL SSYRK( 'L', 'N', 2, 0, ALPHA, A, 1, BETA, C, 2 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 7 CALL SSYRK( 'L', 'T', 0, 2, ALPHA, A, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 10 CALL SSYRK( 'U', 'N', 2, 0, ALPHA, A, 2, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 10 CALL SSYRK( 'U', 'T', 2, 0, ALPHA, A, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 10 CALL SSYRK( 'L', 'N', 2, 0, ALPHA, A, 2, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 10 CALL SSYRK( 'L', 'T', 2, 0, ALPHA, A, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) GO TO 70 60 INFOT = 1 CALL SSYR2K( '/', 'N', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 2 CALL SSYR2K( 'U', '/', 0, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 3 CALL SSYR2K( 'U', 'N', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 3 CALL SSYR2K( 'U', 'T', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 3 CALL SSYR2K( 'L', 'N', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 3 CALL SSYR2K( 'L', 'T', -1, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 4 CALL SSYR2K( 'U', 'N', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 4 CALL SSYR2K( 'U', 'T', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 4 CALL SSYR2K( 'L', 'N', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 4 CALL SSYR2K( 'L', 'T', 0, -1, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 7 CALL SSYR2K( 'U', 'N', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 7 CALL SSYR2K( 'U', 'T', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 7 CALL SSYR2K( 'L', 'N', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 2 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 7 CALL SSYR2K( 'L', 'T', 0, 2, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL SSYR2K( 'U', 'N', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 2 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL SSYR2K( 'U', 'T', 0, 2, ALPHA, A, 2, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL SSYR2K( 'L', 'N', 2, 0, ALPHA, A, 2, B, 1, BETA, C, 2 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 9 CALL SSYR2K( 'L', 'T', 0, 2, ALPHA, A, 2, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 12 CALL SSYR2K( 'U', 'N', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 12 CALL SSYR2K( 'U', 'T', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 12 CALL SSYR2K( 'L', 'N', 2, 0, ALPHA, A, 2, B, 2, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) INFOT = 12 CALL SSYR2K( 'L', 'T', 2, 0, ALPHA, A, 1, B, 1, BETA, C, 1 ) CALL CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) * 70 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 SCHKE. * END SUBROUTINE SMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, RESET, $ TRANSL ) * * Generates values for an M by N matrix A. * Stores the values in the array AA in the data structure required * by the routine, with unwanted elements set to rogue value. * * TYPE is 'GE', 'SY' or 'TR'. * * Auxiliary routine for test program for Level 3 Blas. * * -- Written on 8-February-1989. * Jack Dongarra, Argonne National Laboratory. * Iain Duff, AERE Harwell. * Jeremy Du Croz, Numerical Algorithms Group Ltd. * Sven Hammarling, Numerical Algorithms Group Ltd. * * .. Parameters .. REAL ZERO, ONE PARAMETER ( ZERO = 0.0, ONE = 1.0 ) REAL ROGUE PARAMETER ( ROGUE = -1.0E10 ) * .. Scalar Arguments .. REAL TRANSL INTEGER LDA, M, N, NMAX LOGICAL RESET CHARACTER*1 DIAG, UPLO CHARACTER*2 TYPE * .. Array Arguments .. REAL A( NMAX, * ), AA( * ) * .. Local Scalars .. INTEGER I, IBEG, IEND, J LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER * .. External Functions .. REAL SBEG EXTERNAL SBEG * .. Executable Statements .. GEN = TYPE.EQ.'GE' SYM = TYPE.EQ.'SY' TRI = TYPE.EQ.'TR' 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 A( I, J ) = SBEG( RESET ) + TRANSL IF( I.NE.J )THEN * Set some elements to zero IF( N.GT.3.AND.J.EQ.N/2 ) $ A( I, J ) = ZERO IF( 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.'SY'.OR.TYPE.EQ.'TR' )THEN DO 90 J = 1, N IF( UPPER )THEN IBEG = 1 IF( UNIT )THEN IEND = J - 1 ELSE IEND = J END IF ELSE IF( UNIT )THEN IBEG = J + 1 ELSE IBEG = J END IF IEND = N END IF DO 60 I = 1, IBEG - 1 AA( I + ( J - 1 )*LDA ) = ROGUE 60 CONTINUE DO 70 I = IBEG, IEND AA( I + ( J - 1 )*LDA ) = A( I, J ) 70 CONTINUE DO 80 I = IEND + 1, LDA AA( I + ( J - 1 )*LDA ) = ROGUE 80 CONTINUE 90 CONTINUE END IF RETURN * * End of SMAKE. * END SUBROUTINE SMMCH( TRANSA, TRANSB, M, N, KK, ALPHA, A, LDA, B, LDB, $ BETA, C, LDC, CT, G, CC, LDCC, EPS, ERR, FATAL, $ NOUT, MV ) * * Checks the results of the computational tests. * * Auxiliary routine for test program for Level 3 Blas. * * -- Written on 8-February-1989. * Jack Dongarra, Argonne National Laboratory. * Iain Duff, AERE Harwell. * Jeremy Du Croz, Numerical Algorithms Group Ltd. * Sven Hammarling, Numerical Algorithms Group Ltd. * * .. Parameters .. REAL ZERO, ONE PARAMETER ( ZERO = 0.0, ONE = 1.0 ) * .. Scalar Arguments .. REAL ALPHA, BETA, EPS, ERR INTEGER KK, LDA, LDB, LDC, LDCC, M, N, NOUT LOGICAL FATAL, MV CHARACTER*1 TRANSA, TRANSB * .. Array Arguments .. REAL A( LDA, * ), B( LDB, * ), C( LDC, * ), $ CC( LDCC, * ), CT( * ), G( * ) * .. Local Scalars .. REAL ERRI INTEGER I, J, K LOGICAL TRANA, TRANB * .. Intrinsic Functions .. INTRINSIC ABS, MAX, SQRT * .. Executable Statements .. TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C' TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C' * * Compute expected result, one column at a time, in CT using data * in A, B and C. * Compute gauges in G. * DO 120 J = 1, N * DO 10 I = 1, M CT( I ) = ZERO G( I ) = ZERO 10 CONTINUE IF( .NOT.TRANA.AND..NOT.TRANB )THEN DO 30 K = 1, KK DO 20 I = 1, M CT( I ) = CT( I ) + A( I, K )*B( K, J ) G( I ) = G( I ) + ABS( A( I, K ) )*ABS( B( K, J ) ) 20 CONTINUE 30 CONTINUE ELSE IF( TRANA.AND..NOT.TRANB )THEN DO 50 K = 1, KK DO 40 I = 1, M CT( I ) = CT( I ) + A( K, I )*B( K, J ) G( I ) = G( I ) + ABS( A( K, I ) )*ABS( B( K, J ) ) 40 CONTINUE 50 CONTINUE ELSE IF( .NOT.TRANA.AND.TRANB )THEN DO 70 K = 1, KK DO 60 I = 1, M CT( I ) = CT( I ) + A( I, K )*B( J, K ) G( I ) = G( I ) + ABS( A( I, K ) )*ABS( B( J, K ) ) 60 CONTINUE 70 CONTINUE ELSE IF( TRANA.AND.TRANB )THEN DO 90 K = 1, KK DO 80 I = 1, M CT( I ) = CT( I ) + A( K, I )*B( J, K ) G( I ) = G( I ) + ABS( A( K, I ) )*ABS( B( J, K ) ) 80 CONTINUE 90 CONTINUE END IF DO 100 I = 1, M CT( I ) = ALPHA*CT( I ) + BETA*C( I, J ) G( I ) = ABS( ALPHA )*G( I ) + ABS( BETA )*ABS( C( I, J ) ) 100 CONTINUE * * Compute the error ratio for this result. * ERR = ZERO DO 110 I = 1, M ERRI = ABS( CT( I ) - CC( I, J ) )/EPS IF( G( I ).NE.ZERO ) $ ERRI = ERRI/G( I ) ERR = MAX( ERR, ERRI ) IF( ERR*SQRT( EPS ).GE.ONE ) $ GO TO 130 110 CONTINUE * 120 CONTINUE * * If the loop completes, all results are at least half accurate. GO TO 150 * * Report fatal error. * 130 FATAL = .TRUE. WRITE( NOUT, FMT = 9999 ) DO 140 I = 1, M IF( MV )THEN WRITE( NOUT, FMT = 9998 )I, CT( I ), CC( I, J ) ELSE WRITE( NOUT, FMT = 9998 )I, CC( I, J ), CT( I ) END IF 140 CONTINUE IF( N.GT.1 ) $ WRITE( NOUT, FMT = 9997 )J * 150 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 ) 9997 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) * * End of SMMCH. * END LOGICAL FUNCTION LSE( RI, RJ, LR ) * * Tests if two arrays are identical. * * Auxiliary routine for test program for Level 3 Blas. * * -- Written on 8-February-1989. * Jack Dongarra, Argonne National Laboratory. * Iain Duff, AERE Harwell. * Jeremy Du Croz, Numerical Algorithms Group Ltd. * Sven Hammarling, Numerical Algorithms Group Ltd. * * .. Scalar Arguments .. INTEGER LR * .. Array Arguments .. 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 * * End of LSE. * END LOGICAL FUNCTION LSERES( TYPE, UPLO, M, N, AA, AS, LDA ) * * Tests if selected elements in two arrays are equal. * * TYPE is 'GE' or 'SY'. * * Auxiliary routine for test program for Level 3 Blas. * * -- Written on 8-February-1989. * Jack Dongarra, Argonne National Laboratory. * Iain Duff, AERE Harwell. * Jeremy Du Croz, Numerical Algorithms Group Ltd. * Sven Hammarling, Numerical Algorithms Group Ltd. * * .. Scalar Arguments .. INTEGER LDA, M, N CHARACTER*1 UPLO CHARACTER*2 TYPE * .. Array Arguments .. REAL AA( LDA, * ), AS( LDA, * ) * .. Local Scalars .. INTEGER I, IBEG, IEND, J LOGICAL UPPER * .. Executable Statements .. UPPER = UPLO.EQ.'U' IF( TYPE.EQ.'GE' )THEN DO 20 J = 1, N DO 10 I = M + 1, LDA IF( AA( I, J ).NE.AS( I, J ) ) $ GO TO 70 10 CONTINUE 20 CONTINUE ELSE IF( TYPE.EQ.'SY' )THEN DO 50 J = 1, N IF( UPPER )THEN IBEG = 1 IEND = J ELSE IBEG = J IEND = N END IF DO 30 I = 1, IBEG - 1 IF( AA( I, J ).NE.AS( I, J ) ) $ GO TO 70 30 CONTINUE DO 40 I = IEND + 1, LDA IF( AA( I, J ).NE.AS( I, J ) ) $ GO TO 70 40 CONTINUE 50 CONTINUE END IF * 60 CONTINUE 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 3 Blas. * * -- Written on 8-February-1989. * Jack Dongarra, Argonne National Laboratory. * Iain Duff, AERE Harwell. * Jeremy Du Croz, Numerical Algorithms Group Ltd. * Sven Hammarling, Numerical Algorithms Group Ltd. * * .. Scalar Arguments .. LOGICAL RESET * .. Local Scalars .. INTEGER I, IC, MI * .. Save statement .. SAVE I, IC, MI * .. 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 = ( I - 500 )/1001.0 RETURN * * End of SBEG. * END REAL FUNCTION SDIFF( X, Y ) * * Auxiliary routine for test program for Level 3 Blas. * * -- Written on 8-February-1989. * Jack Dongarra, Argonne National Laboratory. * Iain Duff, AERE Harwell. * Jeremy Du Croz, Numerical Algorithms Group Ltd. * Sven Hammarling, Numerical Algorithms Group Ltd. * * .. Scalar Arguments .. REAL X, Y * .. Executable Statements .. SDIFF = X - Y RETURN * * End of SDIFF. * END SUBROUTINE CHKXER( SRNAMT, INFOT, NOUT, LERR, OK ) * * Tests whether XERBLA has detected an error when it should. * * Auxiliary routine for test program for Level 3 Blas. * * -- Written on 8-February-1989. * Jack Dongarra, Argonne National Laboratory. * Iain Duff, AERE Harwell. * Jeremy Du Croz, Numerical Algorithms Group Ltd. * Sven Hammarling, Numerical Algorithms Group Ltd. * * .. Scalar Arguments .. INTEGER INFOT, NOUT LOGICAL LERR, OK CHARACTER*6 SRNAMT * .. Executable Statements .. IF( .NOT.LERR )THEN WRITE( NOUT, FMT = 9999 )INFOT, SRNAMT OK = .FALSE. END IF LERR = .FALSE. RETURN * 9999 FORMAT( ' ***** ILLEGAL VALUE OF PARAMETER NUMBER ', I2, ' NOT D', $ 'ETECTED BY ', A6, ' *****' ) * * End of CHKXER. * END SUBROUTINE XERBLA( SRNAME, INFO ) * * This is a special version of XERBLA to be used only as part of * the test program for testing error exits from the Level 3 BLAS * routines. * * XERBLA is an error handler for the Level 3 BLAS routines. * * It is called by the Level 3 BLAS routines if an input parameter is * invalid. * * Auxiliary routine for test program for Level 3 Blas. * * -- Written on 8-February-1989. * Jack Dongarra, Argonne National Laboratory. * Iain Duff, AERE Harwell. * Jeremy Du Croz, Numerical Algorithms Group Ltd. * Sven Hammarling, Numerical Algorithms Group Ltd. * * .. Scalar Arguments .. INTEGER INFO CHARACTER*6 SRNAME * .. Scalars in Common .. INTEGER INFOT, NOUT LOGICAL LERR, OK CHARACTER*6 SRNAMT * .. Common blocks .. COMMON /INFOC/INFOT, NOUT, OK, LERR COMMON /SRNAMC/SRNAMT * .. Executable Statements .. LERR = .TRUE. IF( INFO.NE.INFOT )THEN IF( INFOT.NE.0 )THEN WRITE( NOUT, FMT = 9999 )INFO, INFOT ELSE WRITE( NOUT, FMT = 9997 )INFO END IF OK = .FALSE. END IF IF( SRNAME.NE.SRNAMT )THEN WRITE( NOUT, FMT = 9998 )SRNAME, SRNAMT OK = .FALSE. END IF RETURN * 9999 FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, ' INSTEAD', $ ' OF ', I2, ' *******' ) 9998 FORMAT( ' ******* XERBLA WAS CALLED WITH SRNAME = ', A6, ' INSTE', $ 'AD OF ', A6, ' *******' ) 9997 FORMAT( ' ******* XERBLA WAS CALLED WITH INFO = ', I6, $ ' *******' ) * * End of XERBLA * END |