| PROGRAM CBLAT3 |
| * |
| * Test program for the COMPLEX Level 3 Blas. |
| * |
| * The program must be driven by a short data file. The first 13 records |
| * of the file are read using list-directed input, the last 9 records |
| * are read using the format ( A12, L2 ). An annotated example of a data |
| * file can be obtained by deleting the first 3 characters from the |
| * following 22 lines: |
| * 'CBLAT3.SNAP' NAME OF SNAPSHOT OUTPUT FILE |
| * -1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0) |
| * F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD. |
| * F LOGICAL FLAG, T TO STOP ON FAILURES. |
| * T LOGICAL FLAG, T TO TEST ERROR EXITS. |
| * 2 0 TO TEST COLUMN-MAJOR, 1 TO TEST ROW-MAJOR, 2 TO TEST BOTH |
| * 16.0 THRESHOLD VALUE OF TEST RATIO |
| * 6 NUMBER OF VALUES OF N |
| * 0 1 2 3 5 9 VALUES OF N |
| * 3 NUMBER OF VALUES OF ALPHA |
| * (0.0,0.0) (1.0,0.0) (0.7,-0.9) VALUES OF ALPHA |
| * 3 NUMBER OF VALUES OF BETA |
| * (0.0,0.0) (1.0,0.0) (1.3,-1.1) VALUES OF BETA |
| * cblas_cgemm T PUT F FOR NO TEST. SAME COLUMNS. |
| * cblas_chemm T PUT F FOR NO TEST. SAME COLUMNS. |
| * cblas_csymm T PUT F FOR NO TEST. SAME COLUMNS. |
| * cblas_ctrmm T PUT F FOR NO TEST. SAME COLUMNS. |
| * cblas_ctrsm T PUT F FOR NO TEST. SAME COLUMNS. |
| * cblas_cherk T PUT F FOR NO TEST. SAME COLUMNS. |
| * cblas_csyrk T PUT F FOR NO TEST. SAME COLUMNS. |
| * cblas_cher2k T PUT F FOR NO TEST. SAME COLUMNS. |
| * cblas_csyr2k T PUT F FOR NO TEST. SAME COLUMNS. |
| * |
| * See: |
| * |
| * Dongarra J. J., Du Croz J. J., Duff I. S. and Hammarling S. |
| * A Set of Level 3 Basic Linear Algebra Subprograms. |
| * |
| * Technical Memorandum No.88 (Revision 1), Mathematics and |
| * Computer Science Division, Argonne National Laboratory, 9700 |
| * South Cass Avenue, Argonne, Illinois 60439, US. |
| * |
| * -- Written on 8-February-1989. |
| * Jack Dongarra, Argonne National Laboratory. |
| * Iain Duff, AERE Harwell. |
| * Jeremy Du Croz, Numerical Algorithms Group Ltd. |
| * Sven Hammarling, Numerical Algorithms Group Ltd. |
| * |
| * .. Parameters .. |
| INTEGER NIN, NOUT |
| PARAMETER ( NIN = 5, NOUT = 6 ) |
| INTEGER NSUBS |
| PARAMETER ( NSUBS = 9 ) |
| COMPLEX ZERO, ONE |
| PARAMETER ( ZERO = ( 0.0, 0.0 ), ONE = ( 1.0, 0.0 ) ) |
| REAL RZERO, RHALF, RONE |
| PARAMETER ( RZERO = 0.0, RHALF = 0.5, RONE = 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, NTRA, |
| $ LAYOUT |
| LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE, |
| $ TSTERR, CORDER, RORDER |
| CHARACTER*1 TRANSA, TRANSB |
| CHARACTER*12 SNAMET |
| CHARACTER*32 SNAPS |
| * .. Local Arrays .. |
| COMPLEX AA( NMAX*NMAX ), AB( NMAX, 2*NMAX ), |
| $ ALF( NALMAX ), AS( NMAX*NMAX ), |
| $ BB( NMAX*NMAX ), BET( NBEMAX ), |
| $ BS( NMAX*NMAX ), C( NMAX, NMAX ), |
| $ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ), |
| $ W( 2*NMAX ) |
| REAL G( NMAX ) |
| INTEGER IDIM( NIDMAX ) |
| LOGICAL LTEST( NSUBS ) |
| CHARACTER*12 SNAMES( NSUBS ) |
| * .. External Functions .. |
| REAL SDIFF |
| LOGICAL LCE |
| EXTERNAL SDIFF, LCE |
| * .. External Subroutines .. |
| EXTERNAL CCHK1, CCHK2, CCHK3, CCHK4, CCHK5, CMMCH |
| * .. Intrinsic Functions .. |
| INTRINSIC MAX, MIN |
| * .. Scalars in Common .. |
| INTEGER INFOT, NOUTC |
| LOGICAL LERR, OK |
| CHARACTER*12 SRNAMT |
| * .. Common blocks .. |
| COMMON /INFOC/INFOT, NOUTC, OK, LERR |
| COMMON /SRNAMC/SRNAMT |
| * .. Data statements .. |
| DATA SNAMES/'cblas_cgemm ', 'cblas_chemm ', |
| $ 'cblas_csymm ', 'cblas_ctrmm ', 'cblas_ctrsm ', |
| $ 'cblas_cherk ', 'cblas_csyrk ', 'cblas_cher2k', |
| $ 'cblas_csyr2k'/ |
| * .. Executable Statements .. |
| * |
| NOUTC = NOUT |
| * |
| * Read name and unit number for snapshot output file and open file. |
| * |
| READ( NIN, FMT = * )SNAPS |
| READ( NIN, FMT = * )NTRA |
| TRACE = NTRA.GE.0 |
| IF( TRACE )THEN |
| OPEN( NTRA, FILE = SNAPS ) |
| END IF |
| * Read the flag that directs rewinding of the snapshot file. |
| READ( NIN, FMT = * )REWI |
| REWI = REWI.AND.TRACE |
| * Read the flag that directs stopping on any failure. |
| READ( NIN, FMT = * )SFATAL |
| * Read the flag that indicates whether error exits are to be tested. |
| READ( NIN, FMT = * )TSTERR |
| * Read the flag that indicates whether row-major data layout to be tested. |
| READ( NIN, FMT = * )LAYOUT |
| * Read the threshold value of the test ratio |
| READ( NIN, FMT = * )THRESH |
| * |
| * Read and check the parameter values for the tests. |
| * |
| * Values of N |
| READ( NIN, FMT = * )NIDIM |
| IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN |
| WRITE( NOUT, FMT = 9997 )'N', NIDMAX |
| GO TO 220 |
| END IF |
| READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM ) |
| DO 10 I = 1, NIDIM |
| IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN |
| WRITE( NOUT, FMT = 9996 )NMAX |
| GO TO 220 |
| END IF |
| 10 CONTINUE |
| * Values of ALPHA |
| READ( NIN, FMT = * )NALF |
| IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN |
| WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX |
| GO TO 220 |
| END IF |
| READ( NIN, FMT = * )( ALF( I ), I = 1, NALF ) |
| * Values of BETA |
| READ( NIN, FMT = * )NBET |
| IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN |
| WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX |
| GO TO 220 |
| END IF |
| READ( NIN, FMT = * )( BET( I ), I = 1, NBET ) |
| * |
| * Report values of parameters. |
| * |
| WRITE( NOUT, FMT = 9995 ) |
| WRITE( NOUT, FMT = 9994 )( IDIM( I ), I = 1, NIDIM ) |
| WRITE( NOUT, FMT = 9993 )( ALF( I ), I = 1, NALF ) |
| WRITE( NOUT, FMT = 9992 )( BET( I ), I = 1, NBET ) |
| IF( .NOT.TSTERR )THEN |
| WRITE( NOUT, FMT = * ) |
| WRITE( NOUT, FMT = 9984 ) |
| END IF |
| WRITE( NOUT, FMT = * ) |
| WRITE( NOUT, FMT = 9999 )THRESH |
| WRITE( NOUT, FMT = * ) |
| |
| RORDER = .FALSE. |
| CORDER = .FALSE. |
| IF (LAYOUT.EQ.2) THEN |
| RORDER = .TRUE. |
| CORDER = .TRUE. |
| WRITE( *, FMT = 10002 ) |
| ELSE IF (LAYOUT.EQ.1) THEN |
| RORDER = .TRUE. |
| WRITE( *, FMT = 10001 ) |
| ELSE IF (LAYOUT.EQ.0) THEN |
| CORDER = .TRUE. |
| WRITE( *, FMT = 10000 ) |
| END IF |
| WRITE( *, FMT = * ) |
| |
| * |
| * Read names of subroutines and flags which indicate |
| * whether they are to be tested. |
| * |
| DO 20 I = 1, NSUBS |
| LTEST( I ) = .FALSE. |
| 20 CONTINUE |
| 30 READ( NIN, FMT = 9988, END = 60 )SNAMET, LTESTT |
| DO 40 I = 1, NSUBS |
| IF( SNAMET.EQ.SNAMES( I ) ) |
| $ GO TO 50 |
| 40 CONTINUE |
| WRITE( NOUT, FMT = 9990 )SNAMET |
| STOP |
| 50 LTEST( I ) = LTESTT |
| GO TO 30 |
| * |
| 60 CONTINUE |
| CLOSE ( NIN ) |
| * |
| * Compute EPS (the machine precision). |
| * |
| EPS = RONE |
| 70 CONTINUE |
| IF( SDIFF( RONE + EPS, RONE ).EQ.RZERO ) |
| $ GO TO 80 |
| EPS = RHALF*EPS |
| GO TO 70 |
| 80 CONTINUE |
| EPS = EPS + EPS |
| WRITE( NOUT, FMT = 9998 )EPS |
| * |
| * Check the reliability of CMMCH 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 CMMCH CT holds |
| * the result computed by CMMCH. |
| TRANSA = 'N' |
| TRANSB = 'N' |
| CALL CMMCH( 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 = LCE( CC, CT, N ) |
| IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN |
| WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR |
| STOP |
| END IF |
| TRANSB = 'C' |
| CALL CMMCH( 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 = LCE( CC, CT, N ) |
| IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN |
| WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR |
| STOP |
| END IF |
| DO 120 J = 1, N |
| AB( J, NMAX + 1 ) = N - J + 1 |
| AB( 1, NMAX + J ) = N - J + 1 |
| 120 CONTINUE |
| DO 130 J = 1, N |
| CC( N - J + 1 ) = J*( ( J + 1 )*J )/2 - |
| $ ( ( J + 1 )*J*( J - 1 ) )/3 |
| 130 CONTINUE |
| TRANSA = 'C' |
| TRANSB = 'N' |
| CALL CMMCH( 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 = LCE( CC, CT, N ) |
| IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN |
| WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR |
| STOP |
| END IF |
| TRANSB = 'C' |
| CALL CMMCH( 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 = LCE( CC, CT, N ) |
| IF( .NOT.SAME.OR.ERR.NE.RZERO )THEN |
| WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR |
| STOP |
| END IF |
| * |
| * Test each subroutine in turn. |
| * |
| DO 200 ISNUM = 1, NSUBS |
| WRITE( NOUT, FMT = * ) |
| IF( .NOT.LTEST( ISNUM ) )THEN |
| * Subprogram is not to be tested. |
| WRITE( NOUT, FMT = 9987 )SNAMES( ISNUM ) |
| ELSE |
| SRNAMT = SNAMES( ISNUM ) |
| * Test error exits. |
| IF( TSTERR )THEN |
| CALL CC3CHKE( SNAMES( ISNUM ) ) |
| WRITE( NOUT, FMT = * ) |
| END IF |
| * Test computations. |
| INFOT = 0 |
| OK = .TRUE. |
| FATAL = .FALSE. |
| GO TO ( 140, 150, 150, 160, 160, 170, 170, |
| $ 180, 180 )ISNUM |
| * Test CGEMM, 01. |
| 140 IF (CORDER) THEN |
| CALL CCHK1(SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, |
| $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, |
| $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, |
| $ CC, CS, CT, G, 0 ) |
| END IF |
| IF (RORDER) THEN |
| CALL CCHK1(SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, |
| $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, |
| $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, |
| $ CC, CS, CT, G, 1 ) |
| END IF |
| GO TO 190 |
| * Test CHEMM, 02, CSYMM, 03. |
| 150 IF (CORDER) THEN |
| CALL CCHK2(SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, |
| $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, |
| $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, |
| $ CC, CS, CT, G, 0 ) |
| END IF |
| IF (RORDER) THEN |
| CALL CCHK2(SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, |
| $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, |
| $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, |
| $ CC, CS, CT, G, 1 ) |
| END IF |
| GO TO 190 |
| * Test CTRMM, 04, CTRSM, 05. |
| 160 IF (CORDER) THEN |
| CALL CCHK3(SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, |
| $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NMAX, AB, |
| $ AA, AS, AB( 1, NMAX + 1 ), BB, BS, CT, G, C, |
| $ 0 ) |
| END IF |
| IF (RORDER) THEN |
| CALL CCHK3(SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, |
| $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NMAX, AB, |
| $ AA, AS, AB( 1, NMAX + 1 ), BB, BS, CT, G, C, |
| $ 1 ) |
| END IF |
| GO TO 190 |
| * Test CHERK, 06, CSYRK, 07. |
| 170 IF (CORDER) THEN |
| CALL CCHK4(SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, |
| $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, |
| $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, |
| $ CC, CS, CT, G, 0 ) |
| END IF |
| IF (RORDER) THEN |
| CALL CCHK4(SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, |
| $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, |
| $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, |
| $ CC, CS, CT, G, 1 ) |
| END IF |
| GO TO 190 |
| * Test CHER2K, 08, CSYR2K, 09. |
| 180 IF (CORDER) THEN |
| CALL CCHK5(SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, |
| $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, |
| $ NMAX, AB, AA, AS, BB, BS, C, CC, CS, CT, G, W, |
| $ 0 ) |
| END IF |
| IF (RORDER) THEN |
| CALL CCHK5(SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, |
| $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, |
| $ NMAX, AB, AA, AS, BB, BS, C, CC, CS, CT, G, W, |
| $ 1 ) |
| END IF |
| GO TO 190 |
| * |
| 190 IF( FATAL.AND.SFATAL ) |
| $ GO TO 210 |
| END IF |
| 200 CONTINUE |
| WRITE( NOUT, FMT = 9986 ) |
| GO TO 230 |
| * |
| 210 CONTINUE |
| WRITE( NOUT, FMT = 9985 ) |
| GO TO 230 |
| * |
| 220 CONTINUE |
| WRITE( NOUT, FMT = 9991 ) |
| * |
| 230 CONTINUE |
| IF( TRACE ) |
| $ CLOSE ( NTRA ) |
| CLOSE ( NOUT ) |
| STOP |
| * |
| 10002 FORMAT( ' COLUMN-MAJOR AND ROW-MAJOR DATA LAYOUTS ARE TESTED' ) |
| 10001 FORMAT(' ROW-MAJOR DATA LAYOUT IS TESTED' ) |
| 10000 FORMAT(' COLUMN-MAJOR DATA LAYOUT IS TESTED' ) |
| 9999 FORMAT(' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES', |
| $ 'S THAN', F8.2 ) |
| 9998 FORMAT(' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, E9.1 ) |
| 9997 FORMAT(' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ', |
| $ 'THAN ', I2 ) |
| 9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 ) |
| 9995 FORMAT(' TESTS OF THE COMPLEX LEVEL 3 BLAS', //' THE F', |
| $ 'OLLOWING PARAMETER VALUES WILL BE USED:' ) |
| 9994 FORMAT( ' FOR N ', 9I6 ) |
| 9993 FORMAT( ' FOR ALPHA ', |
| $ 7( '(', F4.1, ',', F4.1, ') ', : ) ) |
| 9992 FORMAT( ' FOR BETA ', |
| $ 7( '(', F4.1, ',', F4.1, ') ', : ) ) |
| 9991 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM', |
| $ /' ******* TESTS ABANDONED *******' ) |
| 9990 FORMAT(' SUBPROGRAM NAME ', A12,' NOT RECOGNIZED', /' ******* T', |
| $ 'ESTS ABANDONED *******' ) |
| 9989 FORMAT(' ERROR IN CMMCH - IN-LINE DOT PRODUCTS ARE BEING EVALU', |
| $ 'ATED WRONGLY.', /' CMMCH 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( A12,L2 ) |
| 9987 FORMAT( 1X, A12,' WAS NOT TESTED' ) |
| 9986 FORMAT( /' END OF TESTS' ) |
| 9985 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' ) |
| 9984 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' ) |
| * |
| * End of CBLAT3. |
| * |
| END |
| SUBROUTINE CCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, |
| $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, |
| $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G, |
| $ IORDER ) |
| * |
| * Tests CGEMM. |
| * |
| * Auxiliary routine for test program for Level 3 Blas. |
| * |
| * -- Written on 8-February-1989. |
| * Jack Dongarra, Argonne National Laboratory. |
| * Iain Duff, AERE Harwell. |
| * Jeremy Du Croz, Numerical Algorithms Group Ltd. |
| * Sven Hammarling, Numerical Algorithms Group Ltd. |
| * |
| * .. Parameters .. |
| COMPLEX ZERO |
| PARAMETER ( ZERO = ( 0.0, 0.0 ) ) |
| REAL RZERO |
| PARAMETER ( RZERO = 0.0 ) |
| * .. Scalar Arguments .. |
| REAL EPS, THRESH |
| INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER |
| LOGICAL FATAL, REWI, TRACE |
| CHARACTER*12 SNAME |
| * .. Array Arguments .. |
| COMPLEX 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 ) |
| REAL G( NMAX ) |
| INTEGER IDIM( NIDIM ) |
| * .. Local Scalars .. |
| COMPLEX ALPHA, ALS, BETA, BLS |
| REAL 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 LCE, LCERES |
| EXTERNAL LCE, LCERES |
| * .. External Subroutines .. |
| EXTERNAL CCGEMM, CMAKE, CMMCH |
| * .. Intrinsic Functions .. |
| INTRINSIC MAX |
| * .. Scalars in Common .. |
| INTEGER INFOT, NOUTC |
| LOGICAL LERR, OK |
| * .. Common blocks .. |
| COMMON /INFOC/INFOT, NOUTC, OK, LERR |
| * .. Data statements .. |
| DATA ICH/'NTC'/ |
| * .. Executable Statements .. |
| * |
| NARGS = 13 |
| NC = 0 |
| RESET = .TRUE. |
| ERRMAX = RZERO |
| * |
| DO 110 IM = 1, NIDIM |
| M = IDIM( IM ) |
| * |
| DO 100 IN = 1, NIDIM |
| N = IDIM( IN ) |
| * Set LDC to 1 more than minimum value if room. |
| LDC = M |
| IF( LDC.LT.NMAX ) |
| $ LDC = LDC + 1 |
| * Skip tests if not enough room. |
| IF( LDC.GT.NMAX ) |
| $ GO TO 100 |
| LCC = LDC*N |
| NULL = N.LE.0.OR.M.LE.0 |
| * |
| DO 90 IK = 1, NIDIM |
| K = IDIM( IK ) |
| * |
| DO 80 ICA = 1, 3 |
| TRANSA = ICH( ICA: ICA ) |
| TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C' |
| * |
| IF( TRANA )THEN |
| MA = K |
| NA = M |
| ELSE |
| MA = M |
| NA = K |
| END IF |
| * Set LDA to 1 more than minimum value if room. |
| LDA = MA |
| IF( LDA.LT.NMAX ) |
| $ LDA = LDA + 1 |
| * Skip tests if not enough room. |
| IF( LDA.GT.NMAX ) |
| $ GO TO 80 |
| LAA = LDA*NA |
| * |
| * Generate the matrix A. |
| * |
| CALL CMAKE( '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 CMAKE( '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 CMAKE( 'ge', ' ', ' ', M, N, C, NMAX, |
| $ CC, LDC, RESET, ZERO ) |
| * |
| NC = NC + 1 |
| * |
| * Save every datum before calling the |
| * subroutine. |
| * |
| TRANAS = TRANSA |
| TRANBS = TRANSB |
| MS = M |
| NS = N |
| KS = K |
| ALS = ALPHA |
| DO 10 I = 1, LAA |
| AS( I ) = AA( I ) |
| 10 CONTINUE |
| LDAS = LDA |
| DO 20 I = 1, LBB |
| BS( I ) = BB( I ) |
| 20 CONTINUE |
| LDBS = LDB |
| BLS = BETA |
| DO 30 I = 1, LCC |
| CS( I ) = CC( I ) |
| 30 CONTINUE |
| LDCS = LDC |
| * |
| * Call the subroutine. |
| * |
| IF( TRACE ) |
| $ CALL CPRCN1(NTRA, NC, SNAME, IORDER, |
| $ TRANSA, TRANSB, M, N, K, ALPHA, LDA, |
| $ LDB, BETA, LDC) |
| IF( REWI ) |
| $ REWIND NTRA |
| CALL CCGEMM( IORDER, TRANSA, TRANSB, M, N, |
| $ K, ALPHA, AA, LDA, BB, LDB, |
| $ BETA, CC, LDC ) |
| * |
| * Check if error-exit was taken incorrectly. |
| * |
| IF( .NOT.OK )THEN |
| WRITE( NOUT, FMT = 9994 ) |
| FATAL = .TRUE. |
| GO TO 120 |
| END IF |
| * |
| * See what data changed inside subroutines. |
| * |
| ISAME( 1 ) = TRANSA.EQ.TRANAS |
| ISAME( 2 ) = TRANSB.EQ.TRANBS |
| ISAME( 3 ) = MS.EQ.M |
| ISAME( 4 ) = NS.EQ.N |
| ISAME( 5 ) = KS.EQ.K |
| ISAME( 6 ) = ALS.EQ.ALPHA |
| ISAME( 7 ) = LCE( AS, AA, LAA ) |
| ISAME( 8 ) = LDAS.EQ.LDA |
| ISAME( 9 ) = LCE( BS, BB, LBB ) |
| ISAME( 10 ) = LDBS.EQ.LDB |
| ISAME( 11 ) = BLS.EQ.BETA |
| IF( NULL )THEN |
| ISAME( 12 ) = LCE( CS, CC, LCC ) |
| ELSE |
| ISAME( 12 ) = LCERES( '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 CMMCH( TRANSA, TRANSB, M, N, K, |
| $ ALPHA, A, NMAX, B, NMAX, BETA, |
| $ C, NMAX, CT, G, CC, LDC, EPS, |
| $ ERR, FATAL, NOUT, .TRUE. ) |
| ERRMAX = MAX( ERRMAX, ERR ) |
| * If got really bad answer, report and |
| * return. |
| IF( FATAL ) |
| $ GO TO 120 |
| END IF |
| * |
| 50 CONTINUE |
| * |
| 60 CONTINUE |
| * |
| 70 CONTINUE |
| * |
| 80 CONTINUE |
| * |
| 90 CONTINUE |
| * |
| 100 CONTINUE |
| * |
| 110 CONTINUE |
| * |
| * Report result. |
| * |
| IF( ERRMAX.LT.THRESH )THEN |
| IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC |
| IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC |
| ELSE |
| IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX |
| IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX |
| END IF |
| GO TO 130 |
| * |
| 120 CONTINUE |
| WRITE( NOUT, FMT = 9996 )SNAME |
| CALL CPRCN1(NOUT, NC, SNAME, IORDER, TRANSA, TRANSB, |
| $ M, N, K, ALPHA, LDA, LDB, BETA, LDC) |
| * |
| 130 CONTINUE |
| RETURN |
| * |
| 10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ', |
| $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ', |
| $ 'RATIO ', F8.2, ' - SUSPECT *******' ) |
| 10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ', |
| $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ', |
| $ 'RATIO ', F8.2, ' - SUSPECT *******' ) |
| 10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS', |
| $ ' (', I6, ' CALL', 'S)' ) |
| 10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS', |
| $ ' (', I6, ' CALL', 'S)' ) |
| 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', |
| $ 'ANGED INCORRECTLY *******' ) |
| 9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' ) |
| 9995 FORMAT( 1X, I6, ': ', A12,'(''', A1, ''',''', A1, ''',', |
| $ 3( I3, ',' ), '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, |
| $ ',(', F4.1, ',', F4.1, '), C,', I3, ').' ) |
| 9994 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', |
| $ '******' ) |
| * |
| * End of CCHK1. |
| * |
| END |
| * |
| SUBROUTINE CPRCN1(NOUT, NC, SNAME, IORDER, TRANSA, TRANSB, M, N, |
| $ K, ALPHA, LDA, LDB, BETA, LDC) |
| INTEGER NOUT, NC, IORDER, M, N, K, LDA, LDB, LDC |
| COMPLEX ALPHA, BETA |
| CHARACTER*1 TRANSA, TRANSB |
| CHARACTER*12 SNAME |
| CHARACTER*14 CRC, CTA,CTB |
| |
| IF (TRANSA.EQ.'N')THEN |
| CTA = ' CblasNoTrans' |
| ELSE IF (TRANSA.EQ.'T')THEN |
| CTA = ' CblasTrans' |
| ELSE |
| CTA = 'CblasConjTrans' |
| END IF |
| IF (TRANSB.EQ.'N')THEN |
| CTB = ' CblasNoTrans' |
| ELSE IF (TRANSB.EQ.'T')THEN |
| CTB = ' CblasTrans' |
| ELSE |
| CTB = 'CblasConjTrans' |
| END IF |
| IF (IORDER.EQ.1)THEN |
| CRC = ' CblasRowMajor' |
| ELSE |
| CRC = ' CblasColMajor' |
| END IF |
| WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CTA,CTB |
| WRITE(NOUT, FMT = 9994)M, N, K, ALPHA, LDA, LDB, BETA, LDC |
| |
| 9995 FORMAT( 1X, I6, ': ', A12,'(', A14, ',', A14, ',', A14, ',') |
| 9994 FORMAT( 10X, 3( I3, ',' ) ,' (', F4.1,',',F4.1,') , A,', |
| $ I3, ', B,', I3, ', (', F4.1,',',F4.1,') , C,', I3, ').' ) |
| END |
| * |
| SUBROUTINE CCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, |
| $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, |
| $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G, |
| $ IORDER ) |
| * |
| * Tests CHEMM and CSYMM. |
| * |
| * Auxiliary routine for test program for Level 3 Blas. |
| * |
| * -- Written on 8-February-1989. |
| * Jack Dongarra, Argonne National Laboratory. |
| * Iain Duff, AERE Harwell. |
| * Jeremy Du Croz, Numerical Algorithms Group Ltd. |
| * Sven Hammarling, Numerical Algorithms Group Ltd. |
| * |
| * .. Parameters .. |
| COMPLEX ZERO |
| PARAMETER ( ZERO = ( 0.0, 0.0 ) ) |
| REAL RZERO |
| PARAMETER ( RZERO = 0.0 ) |
| * .. Scalar Arguments .. |
| REAL EPS, THRESH |
| INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER |
| LOGICAL FATAL, REWI, TRACE |
| CHARACTER*12 SNAME |
| * .. Array Arguments .. |
| COMPLEX 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 ) |
| REAL G( NMAX ) |
| INTEGER IDIM( NIDIM ) |
| * .. Local Scalars .. |
| COMPLEX ALPHA, ALS, BETA, BLS |
| REAL ERR, ERRMAX |
| INTEGER I, IA, IB, ICS, ICU, IM, IN, LAA, LBB, LCC, |
| $ LDA, LDAS, LDB, LDBS, LDC, LDCS, M, MS, N, NA, |
| $ NARGS, NC, NS |
| LOGICAL CONJ, LEFT, NULL, RESET, SAME |
| CHARACTER*1 SIDE, SIDES, UPLO, UPLOS |
| CHARACTER*2 ICHS, ICHU |
| * .. Local Arrays .. |
| LOGICAL ISAME( 13 ) |
| * .. External Functions .. |
| LOGICAL LCE, LCERES |
| EXTERNAL LCE, LCERES |
| * .. External Subroutines .. |
| EXTERNAL CCHEMM, CMAKE, CMMCH, CCSYMM |
| * .. Intrinsic Functions .. |
| INTRINSIC MAX |
| * .. Scalars in Common .. |
| INTEGER INFOT, NOUTC |
| LOGICAL LERR, OK |
| * .. Common blocks .. |
| COMMON /INFOC/INFOT, NOUTC, OK, LERR |
| * .. Data statements .. |
| DATA ICHS/'LR'/, ICHU/'UL'/ |
| * .. Executable Statements .. |
| CONJ = SNAME( 8: 9 ).EQ.'he' |
| * |
| NARGS = 12 |
| NC = 0 |
| RESET = .TRUE. |
| ERRMAX = RZERO |
| * |
| DO 100 IM = 1, NIDIM |
| M = IDIM( IM ) |
| * |
| DO 90 IN = 1, NIDIM |
| N = IDIM( IN ) |
| * Set LDC to 1 more than minimum value if room. |
| LDC = M |
| IF( LDC.LT.NMAX ) |
| $ LDC = LDC + 1 |
| * Skip tests if not enough room. |
| IF( LDC.GT.NMAX ) |
| $ GO TO 90 |
| LCC = LDC*N |
| NULL = N.LE.0.OR.M.LE.0 |
| * Set LDB to 1 more than minimum value if room. |
| LDB = M |
| IF( LDB.LT.NMAX ) |
| $ LDB = LDB + 1 |
| * Skip tests if not enough room. |
| IF( LDB.GT.NMAX ) |
| $ GO TO 90 |
| LBB = LDB*N |
| * |
| * Generate the matrix B. |
| * |
| CALL CMAKE( 'ge', ' ', ' ', M, N, B, NMAX, BB, LDB, RESET, |
| $ ZERO ) |
| * |
| DO 80 ICS = 1, 2 |
| SIDE = ICHS( ICS: ICS ) |
| LEFT = SIDE.EQ.'L' |
| * |
| IF( LEFT )THEN |
| NA = M |
| ELSE |
| NA = N |
| END IF |
| * Set LDA to 1 more than minimum value if room. |
| LDA = NA |
| IF( LDA.LT.NMAX ) |
| $ LDA = LDA + 1 |
| * Skip tests if not enough room. |
| IF( LDA.GT.NMAX ) |
| $ GO TO 80 |
| LAA = LDA*NA |
| * |
| DO 70 ICU = 1, 2 |
| UPLO = ICHU( ICU: ICU ) |
| * |
| * Generate the hermitian or symmetric matrix A. |
| * |
| CALL CMAKE(SNAME( 8: 9 ), UPLO, ' ', NA, NA, A, NMAX, |
| $ AA, LDA, RESET, ZERO ) |
| * |
| DO 60 IA = 1, NALF |
| ALPHA = ALF( IA ) |
| * |
| DO 50 IB = 1, NBET |
| BETA = BET( IB ) |
| * |
| * Generate the matrix C. |
| * |
| CALL CMAKE( 'ge', ' ', ' ', M, N, C, NMAX, CC, |
| $ LDC, RESET, ZERO ) |
| * |
| NC = NC + 1 |
| * |
| * Save every datum before calling the |
| * subroutine. |
| * |
| SIDES = SIDE |
| UPLOS = UPLO |
| MS = M |
| NS = N |
| ALS = ALPHA |
| DO 10 I = 1, LAA |
| AS( I ) = AA( I ) |
| 10 CONTINUE |
| LDAS = LDA |
| DO 20 I = 1, LBB |
| BS( I ) = BB( I ) |
| 20 CONTINUE |
| LDBS = LDB |
| BLS = BETA |
| DO 30 I = 1, LCC |
| CS( I ) = CC( I ) |
| 30 CONTINUE |
| LDCS = LDC |
| * |
| * Call the subroutine. |
| * |
| IF( TRACE ) |
| $ CALL CPRCN2(NTRA, NC, SNAME, IORDER, |
| $ SIDE, UPLO, M, N, ALPHA, LDA, LDB, |
| $ BETA, LDC) |
| IF( REWI ) |
| $ REWIND NTRA |
| IF( CONJ )THEN |
| CALL CCHEMM( IORDER, SIDE, UPLO, M, N, |
| $ ALPHA, AA, LDA, BB, LDB, BETA, |
| $ CC, LDC ) |
| ELSE |
| CALL CCSYMM( IORDER, SIDE, UPLO, M, N, |
| $ ALPHA, AA, LDA, BB, LDB, BETA, |
| $ CC, LDC ) |
| END IF |
| * |
| * Check if error-exit was taken incorrectly. |
| * |
| IF( .NOT.OK )THEN |
| WRITE( NOUT, FMT = 9994 ) |
| FATAL = .TRUE. |
| GO TO 110 |
| END IF |
| * |
| * See what data changed inside subroutines. |
| * |
| ISAME( 1 ) = SIDES.EQ.SIDE |
| ISAME( 2 ) = UPLOS.EQ.UPLO |
| ISAME( 3 ) = MS.EQ.M |
| ISAME( 4 ) = NS.EQ.N |
| ISAME( 5 ) = ALS.EQ.ALPHA |
| ISAME( 6 ) = LCE( AS, AA, LAA ) |
| ISAME( 7 ) = LDAS.EQ.LDA |
| ISAME( 8 ) = LCE( BS, BB, LBB ) |
| ISAME( 9 ) = LDBS.EQ.LDB |
| ISAME( 10 ) = BLS.EQ.BETA |
| IF( NULL )THEN |
| ISAME( 11 ) = LCE( CS, CC, LCC ) |
| ELSE |
| ISAME( 11 ) = LCERES( '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 CMMCH( 'N', 'N', M, N, M, ALPHA, A, |
| $ NMAX, B, NMAX, BETA, C, NMAX, |
| $ CT, G, CC, LDC, EPS, ERR, |
| $ FATAL, NOUT, .TRUE. ) |
| ELSE |
| CALL CMMCH( 'N', 'N', M, N, N, ALPHA, B, |
| $ NMAX, A, NMAX, BETA, C, NMAX, |
| $ CT, G, CC, LDC, EPS, ERR, |
| $ FATAL, NOUT, .TRUE. ) |
| END IF |
| ERRMAX = MAX( ERRMAX, ERR ) |
| * If got really bad answer, report and |
| * return. |
| IF( FATAL ) |
| $ GO TO 110 |
| END IF |
| * |
| 50 CONTINUE |
| * |
| 60 CONTINUE |
| * |
| 70 CONTINUE |
| * |
| 80 CONTINUE |
| * |
| 90 CONTINUE |
| * |
| 100 CONTINUE |
| * |
| * Report result. |
| * |
| IF( ERRMAX.LT.THRESH )THEN |
| IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC |
| IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC |
| ELSE |
| IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX |
| IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX |
| END IF |
| GO TO 120 |
| * |
| 110 CONTINUE |
| WRITE( NOUT, FMT = 9996 )SNAME |
| CALL CPRCN2(NOUT, NC, SNAME, IORDER, SIDE, UPLO, M, N, ALPHA, LDA, |
| $ LDB, BETA, LDC) |
| * |
| 120 CONTINUE |
| RETURN |
| * |
| 10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ', |
| $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ', |
| $ 'RATIO ', F8.2, ' - SUSPECT *******' ) |
| 10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ', |
| $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ', |
| $ 'RATIO ', F8.2, ' - SUSPECT *******' ) |
| 10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS', |
| $ ' (', I6, ' CALL', 'S)' ) |
| 10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS', |
| $ ' (', I6, ' CALL', 'S)' ) |
| 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', |
| $ 'ANGED INCORRECTLY *******' ) |
| 9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' ) |
| 9995 FORMAT(1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ), |
| $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ',(', F4.1, |
| $ ',', F4.1, '), C,', I3, ') .' ) |
| 9994 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', |
| $ '******' ) |
| * |
| * End of CCHK2. |
| * |
| END |
| * |
| SUBROUTINE CPRCN2(NOUT, NC, SNAME, IORDER, SIDE, UPLO, M, N, |
| $ ALPHA, LDA, LDB, BETA, LDC) |
| INTEGER NOUT, NC, IORDER, M, N, LDA, LDB, LDC |
| COMPLEX ALPHA, BETA |
| CHARACTER*1 SIDE, UPLO |
| CHARACTER*12 SNAME |
| CHARACTER*14 CRC, CS,CU |
| |
| IF (SIDE.EQ.'L')THEN |
| CS = ' CblasLeft' |
| ELSE |
| CS = ' CblasRight' |
| END IF |
| IF (UPLO.EQ.'U')THEN |
| CU = ' CblasUpper' |
| ELSE |
| CU = ' CblasLower' |
| END IF |
| IF (IORDER.EQ.1)THEN |
| CRC = ' CblasRowMajor' |
| ELSE |
| CRC = ' CblasColMajor' |
| END IF |
| WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CS,CU |
| WRITE(NOUT, FMT = 9994)M, N, ALPHA, LDA, LDB, BETA, LDC |
| |
| 9995 FORMAT( 1X, I6, ': ', A12,'(', A14, ',', A14, ',', A14, ',') |
| 9994 FORMAT( 10X, 2( I3, ',' ),' (',F4.1,',',F4.1, '), A,', I3, |
| $ ', B,', I3, ', (',F4.1,',',F4.1, '), ', 'C,', I3, ').' ) |
| END |
| * |
| SUBROUTINE CCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, |
| $ FATAL, NIDIM, IDIM, NALF, ALF, NMAX, A, AA, AS, |
| $ B, BB, BS, CT, G, C, IORDER ) |
| * |
| * Tests CTRMM and CTRSM. |
| * |
| * Auxiliary routine for test program for Level 3 Blas. |
| * |
| * -- Written on 8-February-1989. |
| * Jack Dongarra, Argonne National Laboratory. |
| * Iain Duff, AERE Harwell. |
| * Jeremy Du Croz, Numerical Algorithms Group Ltd. |
| * Sven Hammarling, Numerical Algorithms Group Ltd. |
| * |
| * .. Parameters .. |
| COMPLEX ZERO, ONE |
| PARAMETER ( ZERO = ( 0.0, 0.0 ), ONE = ( 1.0, 0.0 ) ) |
| REAL RZERO |
| PARAMETER ( RZERO = 0.0 ) |
| * .. Scalar Arguments .. |
| REAL EPS, THRESH |
| INTEGER NALF, NIDIM, NMAX, NOUT, NTRA, IORDER |
| LOGICAL FATAL, REWI, TRACE |
| CHARACTER*12 SNAME |
| * .. Array Arguments .. |
| COMPLEX 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 ) |
| REAL G( NMAX ) |
| INTEGER IDIM( NIDIM ) |
| * .. Local Scalars .. |
| COMPLEX ALPHA, ALS |
| REAL 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 LCE, LCERES |
| EXTERNAL LCE, LCERES |
| * .. External Subroutines .. |
| EXTERNAL CMAKE, CMMCH, CCTRMM, CCTRSM |
| * .. Intrinsic Functions .. |
| INTRINSIC MAX |
| * .. Scalars in Common .. |
| INTEGER INFOT, NOUTC |
| LOGICAL LERR, OK |
| * .. Common blocks .. |
| COMMON /INFOC/INFOT, NOUTC, OK, LERR |
| * .. Data statements .. |
| DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/, ICHS/'LR'/ |
| * .. Executable Statements .. |
| * |
| NARGS = 11 |
| NC = 0 |
| RESET = .TRUE. |
| ERRMAX = RZERO |
| * Set up zero matrix for CMMCH. |
| 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 CMAKE( 'tr', UPLO, DIAG, NA, NA, A, |
| $ NMAX, AA, LDA, RESET, ZERO ) |
| * |
| * Generate the matrix B. |
| * |
| CALL CMAKE( 'ge', ' ', ' ', M, N, B, NMAX, |
| $ BB, LDB, RESET, ZERO ) |
| * |
| NC = NC + 1 |
| * |
| * Save every datum before calling the |
| * subroutine. |
| * |
| SIDES = SIDE |
| UPLOS = UPLO |
| TRANAS = TRANSA |
| DIAGS = DIAG |
| MS = M |
| NS = N |
| ALS = ALPHA |
| DO 30 I = 1, LAA |
| AS( I ) = AA( I ) |
| 30 CONTINUE |
| LDAS = LDA |
| DO 40 I = 1, LBB |
| BS( I ) = BB( I ) |
| 40 CONTINUE |
| LDBS = LDB |
| * |
| * Call the subroutine. |
| * |
| IF( SNAME( 10: 11 ).EQ.'mm' )THEN |
| IF( TRACE ) |
| $ CALL CPRCN3( NTRA, NC, SNAME, IORDER, |
| $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, |
| $ LDA, LDB) |
| IF( REWI ) |
| $ REWIND NTRA |
| CALL CCTRMM(IORDER, SIDE, UPLO, TRANSA, |
| $ DIAG, M, N, ALPHA, AA, LDA, |
| $ BB, LDB ) |
| ELSE IF( SNAME( 10: 11 ).EQ.'sm' )THEN |
| IF( TRACE ) |
| $ CALL CPRCN3( NTRA, NC, SNAME, IORDER, |
| $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, |
| $ LDA, LDB) |
| IF( REWI ) |
| $ REWIND NTRA |
| CALL CCTRSM(IORDER, SIDE, UPLO, TRANSA, |
| $ DIAG, M, N, ALPHA, AA, LDA, |
| $ BB, LDB ) |
| END IF |
| * |
| * Check if error-exit was taken incorrectly. |
| * |
| IF( .NOT.OK )THEN |
| WRITE( NOUT, FMT = 9994 ) |
| FATAL = .TRUE. |
| GO TO 150 |
| END IF |
| * |
| * See what data changed inside subroutines. |
| * |
| ISAME( 1 ) = SIDES.EQ.SIDE |
| ISAME( 2 ) = UPLOS.EQ.UPLO |
| ISAME( 3 ) = TRANAS.EQ.TRANSA |
| ISAME( 4 ) = DIAGS.EQ.DIAG |
| ISAME( 5 ) = MS.EQ.M |
| ISAME( 6 ) = NS.EQ.N |
| ISAME( 7 ) = ALS.EQ.ALPHA |
| ISAME( 8 ) = LCE( AS, AA, LAA ) |
| ISAME( 9 ) = LDAS.EQ.LDA |
| IF( NULL )THEN |
| ISAME( 10 ) = LCE( BS, BB, LBB ) |
| ELSE |
| ISAME( 10 ) = LCERES( 'ge', ' ', M, N, BS, |
| $ BB, LDB ) |
| END IF |
| ISAME( 11 ) = LDBS.EQ.LDB |
| * |
| * If data was incorrectly changed, report and |
| * return. |
| * |
| SAME = .TRUE. |
| DO 50 I = 1, NARGS |
| SAME = SAME.AND.ISAME( I ) |
| IF( .NOT.ISAME( I ) ) |
| $ WRITE( NOUT, FMT = 9998 )I |
| 50 CONTINUE |
| IF( .NOT.SAME )THEN |
| FATAL = .TRUE. |
| GO TO 150 |
| END IF |
| * |
| IF( .NOT.NULL )THEN |
| IF( SNAME( 10: 11 ).EQ.'mm' )THEN |
| * |
| * Check the result. |
| * |
| IF( LEFT )THEN |
| CALL CMMCH( TRANSA, 'N', M, N, M, |
| $ ALPHA, A, NMAX, B, NMAX, |
| $ ZERO, C, NMAX, CT, G, |
| $ BB, LDB, EPS, ERR, |
| $ FATAL, NOUT, .TRUE. ) |
| ELSE |
| CALL CMMCH( 'N', TRANSA, M, N, N, |
| $ ALPHA, B, NMAX, A, NMAX, |
| $ ZERO, C, NMAX, CT, G, |
| $ BB, LDB, EPS, ERR, |
| $ FATAL, NOUT, .TRUE. ) |
| END IF |
| ELSE IF( SNAME( 10: 11 ).EQ.'sm' )THEN |
| * |
| * Compute approximation to original |
| * matrix. |
| * |
| DO 70 J = 1, N |
| DO 60 I = 1, M |
| C( I, J ) = BB( I + ( J - 1 )* |
| $ LDB ) |
| BB( I + ( J - 1 )*LDB ) = ALPHA* |
| $ B( I, J ) |
| 60 CONTINUE |
| 70 CONTINUE |
| * |
| IF( LEFT )THEN |
| CALL CMMCH( TRANSA, 'N', M, N, M, |
| $ ONE, A, NMAX, C, NMAX, |
| $ ZERO, B, NMAX, CT, G, |
| $ BB, LDB, EPS, ERR, |
| $ FATAL, NOUT, .FALSE. ) |
| ELSE |
| CALL CMMCH( 'N', TRANSA, M, N, N, |
| $ ONE, C, NMAX, A, NMAX, |
| $ ZERO, B, NMAX, CT, G, |
| $ BB, LDB, EPS, ERR, |
| $ FATAL, NOUT, .FALSE. ) |
| END IF |
| END IF |
| ERRMAX = MAX( ERRMAX, ERR ) |
| * If got really bad answer, report and |
| * return. |
| IF( FATAL ) |
| $ GO TO 150 |
| END IF |
| * |
| 80 CONTINUE |
| * |
| 90 CONTINUE |
| * |
| 100 CONTINUE |
| * |
| 110 CONTINUE |
| * |
| 120 CONTINUE |
| * |
| 130 CONTINUE |
| * |
| 140 CONTINUE |
| * |
| * Report result. |
| * |
| IF( ERRMAX.LT.THRESH )THEN |
| IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC |
| IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC |
| ELSE |
| IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX |
| IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX |
| END IF |
| GO TO 160 |
| * |
| 150 CONTINUE |
| WRITE( NOUT, FMT = 9996 )SNAME |
| CALL CPRCN3( NTRA, NC, SNAME, IORDER, SIDE, UPLO, TRANSA, DIAG, |
| $ M, N, ALPHA, LDA, LDB) |
| * |
| 160 CONTINUE |
| RETURN |
| * |
| 10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ', |
| $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ', |
| $ 'RATIO ', F8.2, ' - SUSPECT *******' ) |
| 10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ', |
| $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ', |
| $ 'RATIO ', F8.2, ' - SUSPECT *******' ) |
| 10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS', |
| $ ' (', I6, ' CALL', 'S)' ) |
| 10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS', |
| $ ' (', I6, ' CALL', 'S)' ) |
| 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', |
| $ 'ANGED INCORRECTLY *******' ) |
| 9996 FORMAT(' ******* ', A12,' FAILED ON CALL NUMBER:' ) |
| 9995 FORMAT(1X, I6, ': ', A12,'(', 4( '''', A1, ''',' ), 2( I3, ',' ), |
| $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ') ', |
| $ ' .' ) |
| 9994 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', |
| $ '******' ) |
| * |
| * End of CCHK3. |
| * |
| END |
| * |
| SUBROUTINE CPRCN3(NOUT, NC, SNAME, IORDER, SIDE, UPLO, TRANSA, |
| $ DIAG, M, N, ALPHA, LDA, LDB) |
| INTEGER NOUT, NC, IORDER, M, N, LDA, LDB |
| COMPLEX ALPHA |
| CHARACTER*1 SIDE, UPLO, TRANSA, DIAG |
| CHARACTER*12 SNAME |
| CHARACTER*14 CRC, CS, CU, CA, CD |
| |
| IF (SIDE.EQ.'L')THEN |
| CS = ' CblasLeft' |
| ELSE |
| CS = ' CblasRight' |
| END IF |
| IF (UPLO.EQ.'U')THEN |
| CU = ' CblasUpper' |
| ELSE |
| CU = ' CblasLower' |
| END IF |
| IF (TRANSA.EQ.'N')THEN |
| CA = ' CblasNoTrans' |
| ELSE IF (TRANSA.EQ.'T')THEN |
| CA = ' CblasTrans' |
| ELSE |
| CA = 'CblasConjTrans' |
| END IF |
| IF (DIAG.EQ.'N')THEN |
| CD = ' CblasNonUnit' |
| ELSE |
| CD = ' CblasUnit' |
| END IF |
| IF (IORDER.EQ.1)THEN |
| CRC = ' CblasRowMajor' |
| ELSE |
| CRC = ' CblasColMajor' |
| END IF |
| WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CS,CU |
| WRITE(NOUT, FMT = 9994)CA, CD, M, N, ALPHA, LDA, LDB |
| |
| 9995 FORMAT( 1X, I6, ': ', A12,'(', A14, ',', A14, ',', A14, ',') |
| 9994 FORMAT( 10X, 2( A14, ',') , 2( I3, ',' ), ' (', F4.1, ',', |
| $ F4.1, '), A,', I3, ', B,', I3, ').' ) |
| END |
| * |
| SUBROUTINE CCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, |
| $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, |
| $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G, |
| $ IORDER ) |
| * |
| * Tests CHERK and CSYRK. |
| * |
| * Auxiliary routine for test program for Level 3 Blas. |
| * |
| * -- Written on 8-February-1989. |
| * Jack Dongarra, Argonne National Laboratory. |
| * Iain Duff, AERE Harwell. |
| * Jeremy Du Croz, Numerical Algorithms Group Ltd. |
| * Sven Hammarling, Numerical Algorithms Group Ltd. |
| * |
| * .. Parameters .. |
| COMPLEX ZERO |
| PARAMETER ( ZERO = ( 0.0, 0.0 ) ) |
| REAL RONE, RZERO |
| PARAMETER ( RONE = 1.0, RZERO = 0.0 ) |
| * .. Scalar Arguments .. |
| REAL EPS, THRESH |
| INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER |
| LOGICAL FATAL, REWI, TRACE |
| CHARACTER*12 SNAME |
| * .. Array Arguments .. |
| COMPLEX 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 ) |
| REAL G( NMAX ) |
| INTEGER IDIM( NIDIM ) |
| * .. Local Scalars .. |
| COMPLEX ALPHA, ALS, BETA, BETS |
| REAL ERR, ERRMAX, RALPHA, RALS, RBETA, RBETS |
| INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, K, KS, |
| $ LAA, LCC, LDA, LDAS, LDC, LDCS, LJ, MA, N, NA, |
| $ NARGS, NC, NS |
| LOGICAL CONJ, NULL, RESET, SAME, TRAN, UPPER |
| CHARACTER*1 TRANS, TRANSS, TRANST, UPLO, UPLOS |
| CHARACTER*2 ICHT, ICHU |
| * .. Local Arrays .. |
| LOGICAL ISAME( 13 ) |
| * .. External Functions .. |
| LOGICAL LCE, LCERES |
| EXTERNAL LCE, LCERES |
| * .. External Subroutines .. |
| EXTERNAL CCHERK, CMAKE, CMMCH, CCSYRK |
| * .. Intrinsic Functions .. |
| INTRINSIC CMPLX, MAX, REAL |
| * .. Scalars in Common .. |
| INTEGER INFOT, NOUTC |
| LOGICAL LERR, OK |
| * .. Common blocks .. |
| COMMON /INFOC/INFOT, NOUTC, OK, LERR |
| * .. Data statements .. |
| DATA ICHT/'NC'/, ICHU/'UL'/ |
| * .. Executable Statements .. |
| CONJ = SNAME( 8: 9 ).EQ.'he' |
| * |
| NARGS = 10 |
| NC = 0 |
| RESET = .TRUE. |
| ERRMAX = RZERO |
| * |
| DO 100 IN = 1, NIDIM |
| N = IDIM( IN ) |
| * Set LDC to 1 more than minimum value if room. |
| LDC = N |
| IF( LDC.LT.NMAX ) |
| $ LDC = LDC + 1 |
| * Skip tests if not enough room. |
| IF( LDC.GT.NMAX ) |
| $ GO TO 100 |
| LCC = LDC*N |
| * |
| DO 90 IK = 1, NIDIM |
| K = IDIM( IK ) |
| * |
| DO 80 ICT = 1, 2 |
| TRANS = ICHT( ICT: ICT ) |
| TRAN = TRANS.EQ.'C' |
| IF( TRAN.AND..NOT.CONJ ) |
| $ TRANS = 'T' |
| IF( TRAN )THEN |
| MA = K |
| NA = N |
| ELSE |
| MA = N |
| NA = K |
| END IF |
| * Set LDA to 1 more than minimum value if room. |
| LDA = MA |
| IF( LDA.LT.NMAX ) |
| $ LDA = LDA + 1 |
| * Skip tests if not enough room. |
| IF( LDA.GT.NMAX ) |
| $ GO TO 80 |
| LAA = LDA*NA |
| * |
| * Generate the matrix A. |
| * |
| CALL CMAKE( 'ge', ' ', ' ', MA, NA, A, NMAX, AA, LDA, |
| $ RESET, ZERO ) |
| * |
| DO 70 ICU = 1, 2 |
| UPLO = ICHU( ICU: ICU ) |
| UPPER = UPLO.EQ.'U' |
| * |
| DO 60 IA = 1, NALF |
| ALPHA = ALF( IA ) |
| IF( CONJ )THEN |
| RALPHA = REAL( ALPHA ) |
| ALPHA = CMPLX( RALPHA, RZERO ) |
| END IF |
| * |
| DO 50 IB = 1, NBET |
| BETA = BET( IB ) |
| IF( CONJ )THEN |
| RBETA = REAL( BETA ) |
| BETA = CMPLX( RBETA, RZERO ) |
| END IF |
| NULL = N.LE.0 |
| IF( CONJ ) |
| $ NULL = NULL.OR.( ( K.LE.0.OR.RALPHA.EQ. |
| $ RZERO ).AND.RBETA.EQ.RONE ) |
| * |
| * Generate the matrix C. |
| * |
| CALL CMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, C, |
| $ NMAX, CC, LDC, RESET, ZERO ) |
| * |
| NC = NC + 1 |
| * |
| * Save every datum before calling the subroutine. |
| * |
| UPLOS = UPLO |
| TRANSS = TRANS |
| NS = N |
| KS = K |
| IF( CONJ )THEN |
| RALS = RALPHA |
| ELSE |
| ALS = ALPHA |
| END IF |
| DO 10 I = 1, LAA |
| AS( I ) = AA( I ) |
| 10 CONTINUE |
| LDAS = LDA |
| IF( CONJ )THEN |
| RBETS = RBETA |
| ELSE |
| BETS = BETA |
| END IF |
| DO 20 I = 1, LCC |
| CS( I ) = CC( I ) |
| 20 CONTINUE |
| LDCS = LDC |
| * |
| * Call the subroutine. |
| * |
| IF( CONJ )THEN |
| IF( TRACE ) |
| $ CALL CPRCN6( NTRA, NC, SNAME, IORDER, |
| $ UPLO, TRANS, N, K, RALPHA, LDA, RBETA, |
| $ LDC) |
| IF( REWI ) |
| $ REWIND NTRA |
| CALL CCHERK( IORDER, UPLO, TRANS, N, K, |
| $ RALPHA, AA, LDA, RBETA, CC, |
| $ LDC ) |
| ELSE |
| IF( TRACE ) |
| $ CALL CPRCN4( NTRA, NC, SNAME, IORDER, |
| $ UPLO, TRANS, N, K, ALPHA, LDA, BETA, LDC) |
| IF( REWI ) |
| $ REWIND NTRA |
| CALL CCSYRK( IORDER, UPLO, TRANS, N, K, |
| $ ALPHA, AA, LDA, BETA, CC, LDC ) |
| END IF |
| * |
| * Check if error-exit was taken incorrectly. |
| * |
| IF( .NOT.OK )THEN |
| WRITE( NOUT, FMT = 9992 ) |
| FATAL = .TRUE. |
| GO TO 120 |
| END IF |
| * |
| * See what data changed inside subroutines. |
| * |
| ISAME( 1 ) = UPLOS.EQ.UPLO |
| ISAME( 2 ) = TRANSS.EQ.TRANS |
| ISAME( 3 ) = NS.EQ.N |
| ISAME( 4 ) = KS.EQ.K |
| IF( CONJ )THEN |
| ISAME( 5 ) = RALS.EQ.RALPHA |
| ELSE |
| ISAME( 5 ) = ALS.EQ.ALPHA |
| END IF |
| ISAME( 6 ) = LCE( AS, AA, LAA ) |
| ISAME( 7 ) = LDAS.EQ.LDA |
| IF( CONJ )THEN |
| ISAME( 8 ) = RBETS.EQ.RBETA |
| ELSE |
| ISAME( 8 ) = BETS.EQ.BETA |
| END IF |
| IF( NULL )THEN |
| ISAME( 9 ) = LCE( CS, CC, LCC ) |
| ELSE |
| ISAME( 9 ) = LCERES( SNAME( 8: 9 ), UPLO, N, |
| $ N, CS, CC, LDC ) |
| END IF |
| ISAME( 10 ) = LDCS.EQ.LDC |
| * |
| * If data was incorrectly changed, report and |
| * return. |
| * |
| SAME = .TRUE. |
| DO 30 I = 1, NARGS |
| SAME = SAME.AND.ISAME( I ) |
| IF( .NOT.ISAME( I ) ) |
| $ WRITE( NOUT, FMT = 9998 )I |
| 30 CONTINUE |
| IF( .NOT.SAME )THEN |
| FATAL = .TRUE. |
| GO TO 120 |
| END IF |
| * |
| IF( .NOT.NULL )THEN |
| * |
| * Check the result column by column. |
| * |
| IF( CONJ )THEN |
| TRANST = 'C' |
| ELSE |
| TRANST = 'T' |
| END IF |
| JC = 1 |
| DO 40 J = 1, N |
| IF( UPPER )THEN |
| JJ = 1 |
| LJ = J |
| ELSE |
| JJ = J |
| LJ = N - J + 1 |
| END IF |
| IF( TRAN )THEN |
| CALL CMMCH( TRANST, 'N', LJ, 1, K, |
| $ ALPHA, A( 1, JJ ), NMAX, |
| $ A( 1, J ), NMAX, BETA, |
| $ C( JJ, J ), NMAX, CT, G, |
| $ CC( JC ), LDC, EPS, ERR, |
| $ FATAL, NOUT, .TRUE. ) |
| ELSE |
| CALL CMMCH( 'N', TRANST, LJ, 1, K, |
| $ ALPHA, A( JJ, 1 ), NMAX, |
| $ A( J, 1 ), NMAX, BETA, |
| $ C( JJ, J ), NMAX, CT, G, |
| $ CC( JC ), LDC, EPS, ERR, |
| $ FATAL, NOUT, .TRUE. ) |
| END IF |
| IF( UPPER )THEN |
| JC = JC + LDC |
| ELSE |
| JC = JC + LDC + 1 |
| END IF |
| ERRMAX = MAX( ERRMAX, ERR ) |
| * If got really bad answer, report and |
| * return. |
| IF( FATAL ) |
| $ GO TO 110 |
| 40 CONTINUE |
| END IF |
| * |
| 50 CONTINUE |
| * |
| 60 CONTINUE |
| * |
| 70 CONTINUE |
| * |
| 80 CONTINUE |
| * |
| 90 CONTINUE |
| * |
| 100 CONTINUE |
| * |
| * Report result. |
| * |
| IF( ERRMAX.LT.THRESH )THEN |
| IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC |
| IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC |
| ELSE |
| IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX |
| IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX |
| END IF |
| GO TO 130 |
| * |
| 110 CONTINUE |
| IF( N.GT.1 ) |
| $ WRITE( NOUT, FMT = 9995 )J |
| * |
| 120 CONTINUE |
| WRITE( NOUT, FMT = 9996 )SNAME |
| IF( CONJ )THEN |
| CALL CPRCN6( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K, RALPHA, |
| $ LDA, rBETA, LDC) |
| ELSE |
| CALL CPRCN4( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K, ALPHA, |
| $ LDA, BETA, LDC) |
| END IF |
| * |
| 130 CONTINUE |
| RETURN |
| * |
| 10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ', |
| $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ', |
| $ 'RATIO ', F8.2, ' - SUSPECT *******' ) |
| 10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ', |
| $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ', |
| $ 'RATIO ', F8.2, ' - SUSPECT *******' ) |
| 10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS', |
| $ ' (', I6, ' CALL', 'S)' ) |
| 10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS', |
| $ ' (', I6, ' CALL', 'S)' ) |
| 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', |
| $ 'ANGED INCORRECTLY *******' ) |
| 9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' ) |
| 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) |
| 9994 FORMAT(1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ), |
| $ F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ') ', |
| $ ' .' ) |
| 9993 FORMAT(1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ), |
| $ '(', F4.1, ',', F4.1, ') , A,', I3, ',(', F4.1, ',', F4.1, |
| $ '), C,', I3, ') .' ) |
| 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', |
| $ '******' ) |
| * |
| * End of CCHK4. |
| * |
| END |
| * |
| SUBROUTINE CPRCN4(NOUT, NC, SNAME, IORDER, UPLO, TRANSA, |
| $ N, K, ALPHA, LDA, BETA, LDC) |
| INTEGER NOUT, NC, IORDER, N, K, LDA, LDC |
| COMPLEX ALPHA, BETA |
| CHARACTER*1 UPLO, TRANSA |
| CHARACTER*12 SNAME |
| CHARACTER*14 CRC, CU, CA |
| |
| IF (UPLO.EQ.'U')THEN |
| CU = ' CblasUpper' |
| ELSE |
| CU = ' CblasLower' |
| END IF |
| IF (TRANSA.EQ.'N')THEN |
| CA = ' CblasNoTrans' |
| ELSE IF (TRANSA.EQ.'T')THEN |
| CA = ' CblasTrans' |
| ELSE |
| CA = 'CblasConjTrans' |
| END IF |
| IF (IORDER.EQ.1)THEN |
| CRC = ' CblasRowMajor' |
| ELSE |
| CRC = ' CblasColMajor' |
| END IF |
| WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA |
| WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, BETA, LDC |
| |
| 9995 FORMAT( 1X, I6, ': ', A12,'(', 3( A14, ',') ) |
| 9994 FORMAT( 10X, 2( I3, ',' ), ' (', F4.1, ',', F4.1 ,'), A,', |
| $ I3, ', (', F4.1,',', F4.1, '), C,', I3, ').' ) |
| END |
| * |
| * |
| SUBROUTINE CPRCN6(NOUT, NC, SNAME, IORDER, UPLO, TRANSA, |
| $ N, K, ALPHA, LDA, BETA, LDC) |
| INTEGER NOUT, NC, IORDER, N, K, LDA, LDC |
| REAL ALPHA, BETA |
| CHARACTER*1 UPLO, TRANSA |
| CHARACTER*12 SNAME |
| CHARACTER*14 CRC, CU, CA |
| |
| IF (UPLO.EQ.'U')THEN |
| CU = ' CblasUpper' |
| ELSE |
| CU = ' CblasLower' |
| END IF |
| IF (TRANSA.EQ.'N')THEN |
| CA = ' CblasNoTrans' |
| ELSE IF (TRANSA.EQ.'T')THEN |
| CA = ' CblasTrans' |
| ELSE |
| CA = 'CblasConjTrans' |
| END IF |
| IF (IORDER.EQ.1)THEN |
| CRC = ' CblasRowMajor' |
| ELSE |
| CRC = ' CblasColMajor' |
| END IF |
| WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA |
| WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, BETA, LDC |
| |
| 9995 FORMAT( 1X, I6, ': ', A12,'(', 3( A14, ',') ) |
| 9994 FORMAT( 10X, 2( I3, ',' ), |
| $ F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ').' ) |
| END |
| * |
| SUBROUTINE CCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, |
| $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, |
| $ AB, AA, AS, BB, BS, C, CC, CS, CT, G, W, |
| $ IORDER ) |
| * |
| * Tests CHER2K and CSYR2K. |
| * |
| * Auxiliary routine for test program for Level 3 Blas. |
| * |
| * -- Written on 8-February-1989. |
| * Jack Dongarra, Argonne National Laboratory. |
| * Iain Duff, AERE Harwell. |
| * Jeremy Du Croz, Numerical Algorithms Group Ltd. |
| * Sven Hammarling, Numerical Algorithms Group Ltd. |
| * |
| * .. Parameters .. |
| COMPLEX ZERO, ONE |
| PARAMETER ( ZERO = ( 0.0, 0.0 ), ONE = ( 1.0, 0.0 ) ) |
| REAL RONE, RZERO |
| PARAMETER ( RONE = 1.0, RZERO = 0.0 ) |
| * .. Scalar Arguments .. |
| REAL EPS, THRESH |
| INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER |
| LOGICAL FATAL, REWI, TRACE |
| CHARACTER*12 SNAME |
| * .. Array Arguments .. |
| COMPLEX AA( NMAX*NMAX ), AB( 2*NMAX*NMAX ), |
| $ ALF( NALF ), AS( NMAX*NMAX ), BB( NMAX*NMAX ), |
| $ BET( NBET ), BS( NMAX*NMAX ), C( NMAX, NMAX ), |
| $ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ), |
| $ W( 2*NMAX ) |
| REAL G( NMAX ) |
| INTEGER IDIM( NIDIM ) |
| * .. Local Scalars .. |
| COMPLEX ALPHA, ALS, BETA, BETS |
| REAL ERR, ERRMAX, RBETA, RBETS |
| INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, JJAB, |
| $ K, KS, LAA, LBB, LCC, LDA, LDAS, LDB, LDBS, |
| $ LDC, LDCS, LJ, MA, N, NA, NARGS, NC, NS |
| LOGICAL CONJ, NULL, RESET, SAME, TRAN, UPPER |
| CHARACTER*1 TRANS, TRANSS, TRANST, UPLO, UPLOS |
| CHARACTER*2 ICHT, ICHU |
| * .. Local Arrays .. |
| LOGICAL ISAME( 13 ) |
| * .. External Functions .. |
| LOGICAL LCE, LCERES |
| EXTERNAL LCE, LCERES |
| * .. External Subroutines .. |
| EXTERNAL CCHER2K, CMAKE, CMMCH, CCSYR2K |
| * .. Intrinsic Functions .. |
| INTRINSIC CMPLX, CONJG, MAX, REAL |
| * .. Scalars in Common .. |
| INTEGER INFOT, NOUTC |
| LOGICAL LERR, OK |
| * .. Common blocks .. |
| COMMON /INFOC/INFOT, NOUTC, OK, LERR |
| * .. Data statements .. |
| DATA ICHT/'NC'/, ICHU/'UL'/ |
| * .. Executable Statements .. |
| CONJ = SNAME( 8: 9 ).EQ.'he' |
| * |
| NARGS = 12 |
| NC = 0 |
| RESET = .TRUE. |
| ERRMAX = RZERO |
| * |
| DO 130 IN = 1, NIDIM |
| N = IDIM( IN ) |
| * Set LDC to 1 more than minimum value if room. |
| LDC = N |
| IF( LDC.LT.NMAX ) |
| $ LDC = LDC + 1 |
| * Skip tests if not enough room. |
| IF( LDC.GT.NMAX ) |
| $ GO TO 130 |
| LCC = LDC*N |
| * |
| DO 120 IK = 1, NIDIM |
| K = IDIM( IK ) |
| * |
| DO 110 ICT = 1, 2 |
| TRANS = ICHT( ICT: ICT ) |
| TRAN = TRANS.EQ.'C' |
| IF( TRAN.AND..NOT.CONJ ) |
| $ TRANS = 'T' |
| IF( TRAN )THEN |
| MA = K |
| NA = N |
| ELSE |
| MA = N |
| NA = K |
| END IF |
| * Set LDA to 1 more than minimum value if room. |
| LDA = MA |
| IF( LDA.LT.NMAX ) |
| $ LDA = LDA + 1 |
| * Skip tests if not enough room. |
| IF( LDA.GT.NMAX ) |
| $ GO TO 110 |
| LAA = LDA*NA |
| * |
| * Generate the matrix A. |
| * |
| IF( TRAN )THEN |
| CALL CMAKE( 'ge', ' ', ' ', MA, NA, AB, 2*NMAX, AA, |
| $ LDA, RESET, ZERO ) |
| ELSE |
| CALL CMAKE( 'ge', ' ', ' ', MA, NA, AB, NMAX, AA, LDA, |
| $ RESET, ZERO ) |
| END IF |
| * |
| * Generate the matrix B. |
| * |
| LDB = LDA |
| LBB = LAA |
| IF( TRAN )THEN |
| CALL CMAKE( 'ge', ' ', ' ', MA, NA, AB( K + 1 ), |
| $ 2*NMAX, BB, LDB, RESET, ZERO ) |
| ELSE |
| CALL CMAKE( 'ge', ' ', ' ', MA, NA, AB( K*NMAX + 1 ), |
| $ NMAX, BB, LDB, RESET, ZERO ) |
| END IF |
| * |
| DO 100 ICU = 1, 2 |
| UPLO = ICHU( ICU: ICU ) |
| UPPER = UPLO.EQ.'U' |
| * |
| DO 90 IA = 1, NALF |
| ALPHA = ALF( IA ) |
| * |
| DO 80 IB = 1, NBET |
| BETA = BET( IB ) |
| IF( CONJ )THEN |
| RBETA = REAL( BETA ) |
| BETA = CMPLX( RBETA, RZERO ) |
| END IF |
| NULL = N.LE.0 |
| IF( CONJ ) |
| $ NULL = NULL.OR.( ( K.LE.0.OR.ALPHA.EQ. |
| $ ZERO ).AND.RBETA.EQ.RONE ) |
| * |
| * Generate the matrix C. |
| * |
| CALL CMAKE( SNAME( 8: 9 ), UPLO, ' ', N, N, C, |
| $ NMAX, CC, LDC, RESET, ZERO ) |
| * |
| NC = NC + 1 |
| * |
| * Save every datum before calling the subroutine. |
| * |
| UPLOS = UPLO |
| TRANSS = TRANS |
| NS = N |
| KS = K |
| ALS = ALPHA |
| DO 10 I = 1, LAA |
| AS( I ) = AA( I ) |
| 10 CONTINUE |
| LDAS = LDA |
| DO 20 I = 1, LBB |
| BS( I ) = BB( I ) |
| 20 CONTINUE |
| LDBS = LDB |
| IF( CONJ )THEN |
| RBETS = RBETA |
| ELSE |
| BETS = BETA |
| END IF |
| DO 30 I = 1, LCC |
| CS( I ) = CC( I ) |
| 30 CONTINUE |
| LDCS = LDC |
| * |
| * Call the subroutine. |
| * |
| IF( CONJ )THEN |
| IF( TRACE ) |
| $ CALL CPRCN7( NTRA, NC, SNAME, IORDER, |
| $ UPLO, TRANS, N, K, ALPHA, LDA, LDB, |
| $ RBETA, LDC) |
| IF( REWI ) |
| $ REWIND NTRA |
| CALL CCHER2K( IORDER, UPLO, TRANS, N, K, |
| $ ALPHA, AA, LDA, BB, LDB, RBETA, |
| $ CC, LDC ) |
| ELSE |
| IF( TRACE ) |
| $ CALL CPRCN5( NTRA, NC, SNAME, IORDER, |
| $ UPLO, TRANS, N, K, ALPHA, LDA, LDB, |
| $ BETA, LDC) |
| IF( REWI ) |
| $ REWIND NTRA |
| CALL CCSYR2K( IORDER, UPLO, TRANS, N, K, |
| $ ALPHA, AA, LDA, BB, LDB, BETA, |
| $ CC, LDC ) |
| END IF |
| * |
| * Check if error-exit was taken incorrectly. |
| * |
| IF( .NOT.OK )THEN |
| WRITE( NOUT, FMT = 9992 ) |
| FATAL = .TRUE. |
| GO TO 150 |
| END IF |
| * |
| * See what data changed inside subroutines. |
| * |
| ISAME( 1 ) = UPLOS.EQ.UPLO |
| ISAME( 2 ) = TRANSS.EQ.TRANS |
| ISAME( 3 ) = NS.EQ.N |
| ISAME( 4 ) = KS.EQ.K |
| ISAME( 5 ) = ALS.EQ.ALPHA |
| ISAME( 6 ) = LCE( AS, AA, LAA ) |
| ISAME( 7 ) = LDAS.EQ.LDA |
| ISAME( 8 ) = LCE( BS, BB, LBB ) |
| ISAME( 9 ) = LDBS.EQ.LDB |
| IF( CONJ )THEN |
| ISAME( 10 ) = RBETS.EQ.RBETA |
| ELSE |
| ISAME( 10 ) = BETS.EQ.BETA |
| END IF |
| IF( NULL )THEN |
| ISAME( 11 ) = LCE( CS, CC, LCC ) |
| ELSE |
| ISAME( 11 ) = LCERES( 'he', UPLO, N, N, CS, |
| $ CC, LDC ) |
| END IF |
| ISAME( 12 ) = LDCS.EQ.LDC |
| * |
| * If data was incorrectly changed, report and |
| * return. |
| * |
| SAME = .TRUE. |
| DO 40 I = 1, NARGS |
| SAME = SAME.AND.ISAME( I ) |
| IF( .NOT.ISAME( I ) ) |
| $ WRITE( NOUT, FMT = 9998 )I |
| 40 CONTINUE |
| IF( .NOT.SAME )THEN |
| FATAL = .TRUE. |
| GO TO 150 |
| END IF |
| * |
| IF( .NOT.NULL )THEN |
| * |
| * Check the result column by column. |
| * |
| IF( CONJ )THEN |
| TRANST = 'C' |
| ELSE |
| TRANST = 'T' |
| END IF |
| JJAB = 1 |
| JC = 1 |
| DO 70 J = 1, N |
| IF( UPPER )THEN |
| JJ = 1 |
| LJ = J |
| ELSE |
| JJ = J |
| LJ = N - J + 1 |
| END IF |
| IF( TRAN )THEN |
| DO 50 I = 1, K |
| W( I ) = ALPHA*AB( ( J - 1 )*2* |
| $ NMAX + K + I ) |
| IF( CONJ )THEN |
| W( K + I ) = CONJG( ALPHA )* |
| $ AB( ( J - 1 )*2* |
| $ NMAX + I ) |
| ELSE |
| W( K + I ) = ALPHA* |
| $ AB( ( J - 1 )*2* |
| $ NMAX + I ) |
| END IF |
| 50 CONTINUE |
| CALL CMMCH( TRANST, 'N', LJ, 1, 2*K, |
| $ ONE, AB( JJAB ), 2*NMAX, W, |
| $ 2*NMAX, BETA, C( JJ, J ), |
| $ NMAX, CT, G, CC( JC ), LDC, |
| $ EPS, ERR, FATAL, NOUT, |
| $ .TRUE. ) |
| ELSE |
| DO 60 I = 1, K |
| IF( CONJ )THEN |
| W( I ) = ALPHA*CONJG( AB( ( K + |
| $ I - 1 )*NMAX + J ) ) |
| W( K + I ) = CONJG( ALPHA* |
| $ AB( ( I - 1 )*NMAX + |
| $ J ) ) |
| ELSE |
| W( I ) = ALPHA*AB( ( K + I - 1 )* |
| $ NMAX + J ) |
| W( K + I ) = ALPHA* |
| $ AB( ( I - 1 )*NMAX + |
| $ J ) |
| END IF |
| 60 CONTINUE |
| CALL CMMCH( 'N', 'N', LJ, 1, 2*K, ONE, |
| $ AB( JJ ), NMAX, W, 2*NMAX, |
| $ BETA, C( JJ, J ), NMAX, CT, |
| $ G, CC( JC ), LDC, EPS, ERR, |
| $ FATAL, NOUT, .TRUE. ) |
| END IF |
| IF( UPPER )THEN |
| JC = JC + LDC |
| ELSE |
| JC = JC + LDC + 1 |
| IF( TRAN ) |
| $ JJAB = JJAB + 2*NMAX |
| END IF |
| ERRMAX = MAX( ERRMAX, ERR ) |
| * If got really bad answer, report and |
| * return. |
| IF( FATAL ) |
| $ GO TO 140 |
| 70 CONTINUE |
| END IF |
| * |
| 80 CONTINUE |
| * |
| 90 CONTINUE |
| * |
| 100 CONTINUE |
| * |
| 110 CONTINUE |
| * |
| 120 CONTINUE |
| * |
| 130 CONTINUE |
| * |
| * Report result. |
| * |
| IF( ERRMAX.LT.THRESH )THEN |
| IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC |
| IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC |
| ELSE |
| IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX |
| IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX |
| END IF |
| GO TO 160 |
| * |
| 140 CONTINUE |
| IF( N.GT.1 ) |
| $ WRITE( NOUT, FMT = 9995 )J |
| * |
| 150 CONTINUE |
| WRITE( NOUT, FMT = 9996 )SNAME |
| IF( CONJ )THEN |
| CALL CPRCN7( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K, |
| $ ALPHA, LDA, LDB, RBETA, LDC) |
| ELSE |
| CALL CPRCN5( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K, |
| $ ALPHA, LDA, LDB, BETA, LDC) |
| END IF |
| * |
| 160 CONTINUE |
| RETURN |
| * |
| 10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ', |
| $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ', |
| $ 'RATIO ', F8.2, ' - SUSPECT *******' ) |
| 10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ', |
| $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ', |
| $ 'RATIO ', F8.2, ' - SUSPECT *******' ) |
| 10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS', |
| $ ' (', I6, ' CALL', 'S)' ) |
| 10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS', |
| $ ' (', I6, ' CALL', 'S)' ) |
| 9998 FORMAT(' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', |
| $ 'ANGED INCORRECTLY *******' ) |
| 9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' ) |
| 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) |
| 9994 FORMAT(1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ), |
| $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ',', F4.1, |
| $ ', C,', I3, ') .' ) |
| 9993 FORMAT(1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ), |
| $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ',(', F4.1, |
| $ ',', F4.1, '), C,', I3, ') .' ) |
| 9992 FORMAT(' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', |
| $ '******' ) |
| * |
| * End of CCHK5. |
| * |
| END |
| * |
| SUBROUTINE CPRCN5(NOUT, NC, SNAME, IORDER, UPLO, TRANSA, |
| $ N, K, ALPHA, LDA, LDB, BETA, LDC) |
| INTEGER NOUT, NC, IORDER, N, K, LDA, LDB, LDC |
| COMPLEX ALPHA, BETA |
| CHARACTER*1 UPLO, TRANSA |
| CHARACTER*12 SNAME |
| CHARACTER*14 CRC, CU, CA |
| |
| IF (UPLO.EQ.'U')THEN |
| CU = ' CblasUpper' |
| ELSE |
| CU = ' CblasLower' |
| END IF |
| IF (TRANSA.EQ.'N')THEN |
| CA = ' CblasNoTrans' |
| ELSE IF (TRANSA.EQ.'T')THEN |
| CA = ' CblasTrans' |
| ELSE |
| CA = 'CblasConjTrans' |
| END IF |
| IF (IORDER.EQ.1)THEN |
| CRC = ' CblasRowMajor' |
| ELSE |
| CRC = ' CblasColMajor' |
| END IF |
| WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA |
| WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, LDB, BETA, LDC |
| |
| 9995 FORMAT( 1X, I6, ': ', A12,'(', 3( A14, ',') ) |
| 9994 FORMAT( 10X, 2( I3, ',' ), ' (', F4.1, ',', F4.1, '), A,', |
| $ I3, ', B', I3, ', (', F4.1, ',', F4.1, '), C,', I3, ').' ) |
| END |
| * |
| * |
| SUBROUTINE CPRCN7(NOUT, NC, SNAME, IORDER, UPLO, TRANSA, |
| $ N, K, ALPHA, LDA, LDB, BETA, LDC) |
| INTEGER NOUT, NC, IORDER, N, K, LDA, LDB, LDC |
| COMPLEX ALPHA |
| REAL BETA |
| CHARACTER*1 UPLO, TRANSA |
| CHARACTER*12 SNAME |
| CHARACTER*14 CRC, CU, CA |
| |
| IF (UPLO.EQ.'U')THEN |
| CU = ' CblasUpper' |
| ELSE |
| CU = ' CblasLower' |
| END IF |
| IF (TRANSA.EQ.'N')THEN |
| CA = ' CblasNoTrans' |
| ELSE IF (TRANSA.EQ.'T')THEN |
| CA = ' CblasTrans' |
| ELSE |
| CA = 'CblasConjTrans' |
| END IF |
| IF (IORDER.EQ.1)THEN |
| CRC = ' CblasRowMajor' |
| ELSE |
| CRC = ' CblasColMajor' |
| END IF |
| WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA |
| WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, LDB, BETA, LDC |
| |
| 9995 FORMAT( 1X, I6, ': ', A12,'(', 3( A14, ',') ) |
| 9994 FORMAT( 10X, 2( I3, ',' ), ' (', F4.1, ',', F4.1, '), A,', |
| $ I3, ', B', I3, ',', F4.1, ', C,', I3, ').' ) |
| END |
| * |
| SUBROUTINE CMAKE(TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, RESET, |
| $ TRANSL ) |
| * |
| * Generates values for an M by N matrix A. |
| * Stores the values in the array AA in the data structure required |
| * by the routine, with unwanted elements set to rogue value. |
| * |
| * TYPE is 'ge', 'he', 'sy' or 'tr'. |
| * |
| * Auxiliary routine for test program for Level 3 Blas. |
| * |
| * -- Written on 8-February-1989. |
| * Jack Dongarra, Argonne National Laboratory. |
| * Iain Duff, AERE Harwell. |
| * Jeremy Du Croz, Numerical Algorithms Group Ltd. |
| * Sven Hammarling, Numerical Algorithms Group Ltd. |
| * |
| * .. Parameters .. |
| COMPLEX ZERO, ONE |
| PARAMETER ( ZERO = ( 0.0, 0.0 ), ONE = ( 1.0, 0.0 ) ) |
| COMPLEX ROGUE |
| PARAMETER ( ROGUE = ( -1.0E10, 1.0E10 ) ) |
| REAL RZERO |
| PARAMETER ( RZERO = 0.0 ) |
| REAL RROGUE |
| PARAMETER ( RROGUE = -1.0E10 ) |
| * .. Scalar Arguments .. |
| COMPLEX TRANSL |
| INTEGER LDA, M, N, NMAX |
| LOGICAL RESET |
| CHARACTER*1 DIAG, UPLO |
| CHARACTER*2 TYPE |
| * .. Array Arguments .. |
| COMPLEX A( NMAX, * ), AA( * ) |
| * .. Local Scalars .. |
| INTEGER I, IBEG, IEND, J, JJ |
| LOGICAL GEN, HER, LOWER, SYM, TRI, UNIT, UPPER |
| * .. External Functions .. |
| COMPLEX CBEG |
| EXTERNAL CBEG |
| * .. Intrinsic Functions .. |
| INTRINSIC CMPLX, CONJG, REAL |
| * .. Executable Statements .. |
| GEN = TYPE.EQ.'ge' |
| HER = TYPE.EQ.'he' |
| SYM = TYPE.EQ.'sy' |
| TRI = TYPE.EQ.'tr' |
| UPPER = ( HER.OR.SYM.OR.TRI ).AND.UPLO.EQ.'U' |
| LOWER = ( HER.OR.SYM.OR.TRI ).AND.UPLO.EQ.'L' |
| UNIT = TRI.AND.DIAG.EQ.'U' |
| * |
| * Generate data in array A. |
| * |
| DO 20 J = 1, N |
| DO 10 I = 1, M |
| IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) ) |
| $ THEN |
| A( I, J ) = CBEG( RESET ) + TRANSL |
| IF( I.NE.J )THEN |
| * Set some elements to zero |
| IF( N.GT.3.AND.J.EQ.N/2 ) |
| $ A( I, J ) = ZERO |
| IF( HER )THEN |
| A( J, I ) = CONJG( A( I, J ) ) |
| ELSE IF( SYM )THEN |
| A( J, I ) = A( I, J ) |
| ELSE IF( TRI )THEN |
| A( J, I ) = ZERO |
| END IF |
| END IF |
| END IF |
| 10 CONTINUE |
| IF( HER ) |
| $ A( J, J ) = CMPLX( REAL( A( J, J ) ), RZERO ) |
| IF( TRI ) |
| $ A( J, J ) = A( J, J ) + ONE |
| IF( UNIT ) |
| $ A( J, J ) = ONE |
| 20 CONTINUE |
| * |
| * Store elements in array AS in data structure required by routine. |
| * |
| IF( TYPE.EQ.'ge' )THEN |
| DO 50 J = 1, N |
| DO 30 I = 1, M |
| AA( I + ( J - 1 )*LDA ) = A( I, J ) |
| 30 CONTINUE |
| DO 40 I = M + 1, LDA |
| AA( I + ( J - 1 )*LDA ) = ROGUE |
| 40 CONTINUE |
| 50 CONTINUE |
| ELSE IF( TYPE.EQ.'he'.OR.TYPE.EQ.'sy'.OR.TYPE.EQ.'tr' )THEN |
| DO 90 J = 1, N |
| IF( UPPER )THEN |
| IBEG = 1 |
| IF( UNIT )THEN |
| IEND = J - 1 |
| ELSE |
| IEND = J |
| END IF |
| ELSE |
| IF( UNIT )THEN |
| IBEG = J + 1 |
| ELSE |
| IBEG = J |
| END IF |
| IEND = N |
| END IF |
| DO 60 I = 1, IBEG - 1 |
| AA( I + ( J - 1 )*LDA ) = ROGUE |
| 60 CONTINUE |
| DO 70 I = IBEG, IEND |
| AA( I + ( J - 1 )*LDA ) = A( I, J ) |
| 70 CONTINUE |
| DO 80 I = IEND + 1, LDA |
| AA( I + ( J - 1 )*LDA ) = ROGUE |
| 80 CONTINUE |
| IF( HER )THEN |
| JJ = J + ( J - 1 )*LDA |
| AA( JJ ) = CMPLX( REAL( AA( JJ ) ), RROGUE ) |
| END IF |
| 90 CONTINUE |
| END IF |
| RETURN |
| * |
| * End of CMAKE. |
| * |
| END |
| SUBROUTINE CMMCH(TRANSA, TRANSB, M, N, KK, ALPHA, A, LDA, B, LDB, |
| $ BETA, C, LDC, CT, G, CC, LDCC, EPS, ERR, FATAL, |
| $ NOUT, MV ) |
| * |
| * Checks the results of the computational tests. |
| * |
| * Auxiliary routine for test program for Level 3 Blas. |
| * |
| * -- Written on 8-February-1989. |
| * Jack Dongarra, Argonne National Laboratory. |
| * Iain Duff, AERE Harwell. |
| * Jeremy Du Croz, Numerical Algorithms Group Ltd. |
| * Sven Hammarling, Numerical Algorithms Group Ltd. |
| * |
| * .. Parameters .. |
| COMPLEX ZERO |
| PARAMETER ( ZERO = ( 0.0, 0.0 ) ) |
| REAL RZERO, RONE |
| PARAMETER ( RZERO = 0.0, RONE = 1.0 ) |
| * .. Scalar Arguments .. |
| COMPLEX ALPHA, BETA |
| REAL EPS, ERR |
| INTEGER KK, LDA, LDB, LDC, LDCC, M, N, NOUT |
| LOGICAL FATAL, MV |
| CHARACTER*1 TRANSA, TRANSB |
| * .. Array Arguments .. |
| COMPLEX A( LDA, * ), B( LDB, * ), C( LDC, * ), |
| $ CC( LDCC, * ), CT( * ) |
| REAL G( * ) |
| * .. Local Scalars .. |
| COMPLEX CL |
| REAL ERRI |
| INTEGER I, J, K |
| LOGICAL CTRANA, CTRANB, TRANA, TRANB |
| * .. Intrinsic Functions .. |
| INTRINSIC ABS, AIMAG, CONJG, MAX, REAL, SQRT |
| * .. Statement Functions .. |
| REAL ABS1 |
| * .. Statement Function definitions .. |
| ABS1( CL ) = ABS( REAL( CL ) ) + ABS( AIMAG( CL ) ) |
| * .. Executable Statements .. |
| TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C' |
| TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C' |
| CTRANA = TRANSA.EQ.'C' |
| CTRANB = TRANSB.EQ.'C' |
| * |
| * Compute expected result, one column at a time, in CT using data |
| * in A, B and C. |
| * Compute gauges in G. |
| * |
| DO 220 J = 1, N |
| * |
| DO 10 I = 1, M |
| CT( I ) = ZERO |
| G( I ) = RZERO |
| 10 CONTINUE |
| IF( .NOT.TRANA.AND..NOT.TRANB )THEN |
| DO 30 K = 1, KK |
| DO 20 I = 1, M |
| CT( I ) = CT( I ) + A( I, K )*B( K, J ) |
| G( I ) = G( I ) + ABS1( A( I, K ) )*ABS1( B( K, J ) ) |
| 20 CONTINUE |
| 30 CONTINUE |
| ELSE IF( TRANA.AND..NOT.TRANB )THEN |
| IF( CTRANA )THEN |
| DO 50 K = 1, KK |
| DO 40 I = 1, M |
| CT( I ) = CT( I ) + CONJG( A( K, I ) )*B( K, J ) |
| G( I ) = G( I ) + ABS1( A( K, I ) )* |
| $ ABS1( B( K, J ) ) |
| 40 CONTINUE |
| 50 CONTINUE |
| ELSE |
| DO 70 K = 1, KK |
| DO 60 I = 1, M |
| CT( I ) = CT( I ) + A( K, I )*B( K, J ) |
| G( I ) = G( I ) + ABS1( A( K, I ) )* |
| $ ABS1( B( K, J ) ) |
| 60 CONTINUE |
| 70 CONTINUE |
| END IF |
| ELSE IF( .NOT.TRANA.AND.TRANB )THEN |
| IF( CTRANB )THEN |
| DO 90 K = 1, KK |
| DO 80 I = 1, M |
| CT( I ) = CT( I ) + A( I, K )*CONJG( B( J, K ) ) |
| G( I ) = G( I ) + ABS1( A( I, K ) )* |
| $ ABS1( B( J, K ) ) |
| 80 CONTINUE |
| 90 CONTINUE |
| ELSE |
| DO 110 K = 1, KK |
| DO 100 I = 1, M |
| CT( I ) = CT( I ) + A( I, K )*B( J, K ) |
| G( I ) = G( I ) + ABS1( A( I, K ) )* |
| $ ABS1( B( J, K ) ) |
| 100 CONTINUE |
| 110 CONTINUE |
| END IF |
| ELSE IF( TRANA.AND.TRANB )THEN |
| IF( CTRANA )THEN |
| IF( CTRANB )THEN |
| DO 130 K = 1, KK |
| DO 120 I = 1, M |
| CT( I ) = CT( I ) + CONJG( A( K, I ) )* |
| $ CONJG( B( J, K ) ) |
| G( I ) = G( I ) + ABS1( A( K, I ) )* |
| $ ABS1( B( J, K ) ) |
| 120 CONTINUE |
| 130 CONTINUE |
| ELSE |
| DO 150 K = 1, KK |
| DO 140 I = 1, M |
| CT( I ) = CT( I ) + CONJG( A( K, I ) )*B( J, K ) |
| G( I ) = G( I ) + ABS1( A( K, I ) )* |
| $ ABS1( B( J, K ) ) |
| 140 CONTINUE |
| 150 CONTINUE |
| END IF |
| ELSE |
| IF( CTRANB )THEN |
| DO 170 K = 1, KK |
| DO 160 I = 1, M |
| CT( I ) = CT( I ) + A( K, I )*CONJG( B( J, K ) ) |
| G( I ) = G( I ) + ABS1( A( K, I ) )* |
| $ ABS1( B( J, K ) ) |
| 160 CONTINUE |
| 170 CONTINUE |
| ELSE |
| DO 190 K = 1, KK |
| DO 180 I = 1, M |
| CT( I ) = CT( I ) + A( K, I )*B( J, K ) |
| G( I ) = G( I ) + ABS1( A( K, I ) )* |
| $ ABS1( B( J, K ) ) |
| 180 CONTINUE |
| 190 CONTINUE |
| END IF |
| END IF |
| END IF |
| DO 200 I = 1, M |
| CT( I ) = ALPHA*CT( I ) + BETA*C( I, J ) |
| G( I ) = ABS1( ALPHA )*G( I ) + |
| $ ABS1( BETA )*ABS1( C( I, J ) ) |
| 200 CONTINUE |
| * |
| * Compute the error ratio for this result. |
| * |
| ERR = ZERO |
| DO 210 I = 1, M |
| ERRI = ABS1( CT( I ) - CC( I, J ) )/EPS |
| IF( G( I ).NE.RZERO ) |
| $ ERRI = ERRI/G( I ) |
| ERR = MAX( ERR, ERRI ) |
| IF( ERR*SQRT( EPS ).GE.RONE ) |
| $ GO TO 230 |
| 210 CONTINUE |
| * |
| 220 CONTINUE |
| * |
| * If the loop completes, all results are at least half accurate. |
| GO TO 250 |
| * |
| * Report fatal error. |
| * |
| 230 FATAL = .TRUE. |
| WRITE( NOUT, FMT = 9999 ) |
| DO 240 I = 1, M |
| IF( MV )THEN |
| WRITE( NOUT, FMT = 9998 )I, CT( I ), CC( I, J ) |
| ELSE |
| WRITE( NOUT, FMT = 9998 )I, CC( I, J ), CT( I ) |
| END IF |
| 240 CONTINUE |
| IF( N.GT.1 ) |
| $ WRITE( NOUT, FMT = 9997 )J |
| * |
| 250 CONTINUE |
| RETURN |
| * |
| 9999 FORMAT(' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL', |
| $ 'F ACCURATE *******', /' EXPECTED RE', |
| $ 'SULT COMPUTED RESULT' ) |
| 9998 FORMAT( 1X, I7, 2( ' (', G15.6, ',', G15.6, ')' ) ) |
| 9997 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) |
| * |
| * End of CMMCH. |
| * |
| END |
| LOGICAL FUNCTION LCE( RI, RJ, LR ) |
| * |
| * Tests if two arrays are identical. |
| * |
| * Auxiliary routine for test program for Level 3 Blas. |
| * |
| * -- Written on 8-February-1989. |
| * Jack Dongarra, Argonne National Laboratory. |
| * Iain Duff, AERE Harwell. |
| * Jeremy Du Croz, Numerical Algorithms Group Ltd. |
| * Sven Hammarling, Numerical Algorithms Group Ltd. |
| * |
| * .. Scalar Arguments .. |
| INTEGER LR |
| * .. Array Arguments .. |
| COMPLEX RI( * ), RJ( * ) |
| * .. Local Scalars .. |
| INTEGER I |
| * .. Executable Statements .. |
| DO 10 I = 1, LR |
| IF( RI( I ).NE.RJ( I ) ) |
| $ GO TO 20 |
| 10 CONTINUE |
| LCE = .TRUE. |
| GO TO 30 |
| 20 CONTINUE |
| LCE = .FALSE. |
| 30 RETURN |
| * |
| * End of LCE. |
| * |
| END |
| LOGICAL FUNCTION LCERES( TYPE, UPLO, M, N, AA, AS, LDA ) |
| * |
| * Tests if selected elements in two arrays are equal. |
| * |
| * TYPE is 'ge' or 'he' or 'sy'. |
| * |
| * Auxiliary routine for test program for Level 3 Blas. |
| * |
| * -- Written on 8-February-1989. |
| * Jack Dongarra, Argonne National Laboratory. |
| * Iain Duff, AERE Harwell. |
| * Jeremy Du Croz, Numerical Algorithms Group Ltd. |
| * Sven Hammarling, Numerical Algorithms Group Ltd. |
| * |
| * .. Scalar Arguments .. |
| INTEGER LDA, M, N |
| CHARACTER*1 UPLO |
| CHARACTER*2 TYPE |
| * .. Array Arguments .. |
| COMPLEX AA( LDA, * ), AS( LDA, * ) |
| * .. Local Scalars .. |
| INTEGER I, IBEG, IEND, J |
| LOGICAL UPPER |
| * .. Executable Statements .. |
| UPPER = UPLO.EQ.'U' |
| IF( TYPE.EQ.'ge' )THEN |
| DO 20 J = 1, N |
| DO 10 I = M + 1, LDA |
| IF( AA( I, J ).NE.AS( I, J ) ) |
| $ GO TO 70 |
| 10 CONTINUE |
| 20 CONTINUE |
| ELSE IF( TYPE.EQ.'he'.OR.TYPE.EQ.'sy' )THEN |
| DO 50 J = 1, N |
| IF( UPPER )THEN |
| IBEG = 1 |
| IEND = J |
| ELSE |
| IBEG = J |
| IEND = N |
| END IF |
| DO 30 I = 1, IBEG - 1 |
| IF( AA( I, J ).NE.AS( I, J ) ) |
| $ GO TO 70 |
| 30 CONTINUE |
| DO 40 I = IEND + 1, LDA |
| IF( AA( I, J ).NE.AS( I, J ) ) |
| $ GO TO 70 |
| 40 CONTINUE |
| 50 CONTINUE |
| END IF |
| * |
| 60 CONTINUE |
| LCERES = .TRUE. |
| GO TO 80 |
| 70 CONTINUE |
| LCERES = .FALSE. |
| 80 RETURN |
| * |
| * End of LCERES. |
| * |
| END |
| COMPLEX FUNCTION CBEG( RESET ) |
| * |
| * Generates complex numbers as pairs of random numbers uniformly |
| * distributed between -0.5 and 0.5. |
| * |
| * Auxiliary routine for test program for Level 3 Blas. |
| * |
| * -- Written on 8-February-1989. |
| * Jack Dongarra, Argonne National Laboratory. |
| * Iain Duff, AERE Harwell. |
| * Jeremy Du Croz, Numerical Algorithms Group Ltd. |
| * Sven Hammarling, Numerical Algorithms Group Ltd. |
| * |
| * .. Scalar Arguments .. |
| LOGICAL RESET |
| * .. Local Scalars .. |
| INTEGER I, IC, J, MI, MJ |
| * .. Save statement .. |
| SAVE I, IC, J, MI, MJ |
| * .. Intrinsic Functions .. |
| INTRINSIC CMPLX |
| * .. Executable Statements .. |
| IF( RESET )THEN |
| * Initialize local variables. |
| MI = 891 |
| MJ = 457 |
| I = 7 |
| J = 7 |
| IC = 0 |
| RESET = .FALSE. |
| END IF |
| * |
| * The sequence of values of I or J is bounded between 1 and 999. |
| * If initial I or J = 1,2,3,6,7 or 9, the period will be 50. |
| * If initial I or J = 4 or 8, the period will be 25. |
| * If initial I or J = 5, the period will be 10. |
| * IC is used to break up the period by skipping 1 value of I or J |
| * in 6. |
| * |
| IC = IC + 1 |
| 10 I = I*MI |
| J = J*MJ |
| I = I - 1000*( I/1000 ) |
| J = J - 1000*( J/1000 ) |
| IF( IC.GE.5 )THEN |
| IC = 0 |
| GO TO 10 |
| END IF |
| CBEG = CMPLX( ( I - 500 )/1001.0, ( J - 500 )/1001.0 ) |
| RETURN |
| * |
| * End of CBEG. |
| * |
| 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 |