1*1858f998SYi Kong PROGRAM SBLAT3 2*1858f998SYi Kong* 3*1858f998SYi Kong* Test program for the REAL Level 3 Blas. 4*1858f998SYi Kong* 5*1858f998SYi Kong* The program must be driven by a short data file. The first 13 records 6*1858f998SYi Kong* of the file are read using list-directed input, the last 6 records 7*1858f998SYi Kong* are read using the format ( A12, L2 ). An annotated example of a data 8*1858f998SYi Kong* file can be obtained by deleting the first 3 characters from the 9*1858f998SYi Kong* following 19 lines: 10*1858f998SYi Kong* 'SBLAT3.SNAP' NAME OF SNAPSHOT OUTPUT FILE 11*1858f998SYi Kong* -1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0) 12*1858f998SYi Kong* F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD. 13*1858f998SYi Kong* F LOGICAL FLAG, T TO STOP ON FAILURES. 14*1858f998SYi Kong* T LOGICAL FLAG, T TO TEST ERROR EXITS. 15*1858f998SYi Kong* 2 0 TO TEST COLUMN-MAJOR, 1 TO TEST ROW-MAJOR, 2 TO TEST BOTH 16*1858f998SYi Kong* 16.0 THRESHOLD VALUE OF TEST RATIO 17*1858f998SYi Kong* 6 NUMBER OF VALUES OF N 18*1858f998SYi Kong* 0 1 2 3 5 9 VALUES OF N 19*1858f998SYi Kong* 3 NUMBER OF VALUES OF ALPHA 20*1858f998SYi Kong* 0.0 1.0 0.7 VALUES OF ALPHA 21*1858f998SYi Kong* 3 NUMBER OF VALUES OF BETA 22*1858f998SYi Kong* 0.0 1.0 1.3 VALUES OF BETA 23*1858f998SYi Kong* cblas_sgemm T PUT F FOR NO TEST. SAME COLUMNS. 24*1858f998SYi Kong* cblas_ssymm T PUT F FOR NO TEST. SAME COLUMNS. 25*1858f998SYi Kong* cblas_strmm T PUT F FOR NO TEST. SAME COLUMNS. 26*1858f998SYi Kong* cblas_strsm T PUT F FOR NO TEST. SAME COLUMNS. 27*1858f998SYi Kong* cblas_ssyrk T PUT F FOR NO TEST. SAME COLUMNS. 28*1858f998SYi Kong* cblas_ssyr2k T PUT F FOR NO TEST. SAME COLUMNS. 29*1858f998SYi Kong* 30*1858f998SYi Kong* See: 31*1858f998SYi Kong* 32*1858f998SYi Kong* Dongarra J. J., Du Croz J. J., Duff I. S. and Hammarling S. 33*1858f998SYi Kong* A Set of Level 3 Basic Linear Algebra Subprograms. 34*1858f998SYi Kong* 35*1858f998SYi Kong* Technical Memorandum No.88 (Revision 1), Mathematics and 36*1858f998SYi Kong* Computer Science Division, Argonne National Laboratory, 9700 37*1858f998SYi Kong* South Cass Avenue, Argonne, Illinois 60439, US. 38*1858f998SYi Kong* 39*1858f998SYi Kong* -- Written on 8-February-1989. 40*1858f998SYi Kong* Jack Dongarra, Argonne National Laboratory. 41*1858f998SYi Kong* Iain Duff, AERE Harwell. 42*1858f998SYi Kong* Jeremy Du Croz, Numerical Algorithms Group Ltd. 43*1858f998SYi Kong* Sven Hammarling, Numerical Algorithms Group Ltd. 44*1858f998SYi Kong* 45*1858f998SYi Kong* .. Parameters .. 46*1858f998SYi Kong INTEGER NIN, NOUT 47*1858f998SYi Kong PARAMETER ( NIN = 5, NOUT = 6 ) 48*1858f998SYi Kong INTEGER NSUBS 49*1858f998SYi Kong PARAMETER ( NSUBS = 6 ) 50*1858f998SYi Kong REAL ZERO, HALF, ONE 51*1858f998SYi Kong PARAMETER ( ZERO = 0.0, HALF = 0.5, ONE = 1.0 ) 52*1858f998SYi Kong INTEGER NMAX 53*1858f998SYi Kong PARAMETER ( NMAX = 65 ) 54*1858f998SYi Kong INTEGER NIDMAX, NALMAX, NBEMAX 55*1858f998SYi Kong PARAMETER ( NIDMAX = 9, NALMAX = 7, NBEMAX = 7 ) 56*1858f998SYi Kong* .. Local Scalars .. 57*1858f998SYi Kong REAL EPS, ERR, THRESH 58*1858f998SYi Kong INTEGER I, ISNUM, J, N, NALF, NBET, NIDIM, NTRA, 59*1858f998SYi Kong $ LAYOUT 60*1858f998SYi Kong LOGICAL FATAL, LTESTT, REWI, SAME, SFATAL, TRACE, 61*1858f998SYi Kong $ TSTERR, CORDER, RORDER 62*1858f998SYi Kong CHARACTER*1 TRANSA, TRANSB 63*1858f998SYi Kong CHARACTER*12 SNAMET 64*1858f998SYi Kong CHARACTER*32 SNAPS 65*1858f998SYi Kong* .. Local Arrays .. 66*1858f998SYi Kong REAL AA( NMAX*NMAX ), AB( NMAX, 2*NMAX ), 67*1858f998SYi Kong $ ALF( NALMAX ), AS( NMAX*NMAX ), 68*1858f998SYi Kong $ BB( NMAX*NMAX ), BET( NBEMAX ), 69*1858f998SYi Kong $ BS( NMAX*NMAX ), C( NMAX, NMAX ), 70*1858f998SYi Kong $ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ), 71*1858f998SYi Kong $ G( NMAX ), W( 2*NMAX ) 72*1858f998SYi Kong INTEGER IDIM( NIDMAX ) 73*1858f998SYi Kong LOGICAL LTEST( NSUBS ) 74*1858f998SYi Kong CHARACTER*12 SNAMES( NSUBS ) 75*1858f998SYi Kong* .. External Functions .. 76*1858f998SYi Kong REAL SDIFF 77*1858f998SYi Kong LOGICAL LSE 78*1858f998SYi Kong EXTERNAL SDIFF, LSE 79*1858f998SYi Kong* .. External Subroutines .. 80*1858f998SYi Kong EXTERNAL SCHK1, SCHK2, SCHK3, SCHK4, SCHK5, CS3CHKE, 81*1858f998SYi Kong $ SMMCH 82*1858f998SYi Kong* .. Intrinsic Functions .. 83*1858f998SYi Kong INTRINSIC MAX, MIN 84*1858f998SYi Kong* .. Scalars in Common .. 85*1858f998SYi Kong INTEGER INFOT, NOUTC 86*1858f998SYi Kong LOGICAL OK 87*1858f998SYi Kong CHARACTER*12 SRNAMT 88*1858f998SYi Kong* .. Common blocks .. 89*1858f998SYi Kong COMMON /INFOC/INFOT, NOUTC, OK 90*1858f998SYi Kong COMMON /SRNAMC/SRNAMT 91*1858f998SYi Kong* .. Data statements .. 92*1858f998SYi Kong DATA SNAMES/'cblas_sgemm ', 'cblas_ssymm ', 93*1858f998SYi Kong $ 'cblas_strmm ', 'cblas_strsm ','cblas_ssyrk ', 94*1858f998SYi Kong $ 'cblas_ssyr2k'/ 95*1858f998SYi Kong* .. Executable Statements .. 96*1858f998SYi Kong* 97*1858f998SYi Kong NOUTC = NOUT 98*1858f998SYi Kong* Read name and unit number for summary output file and open file. 99*1858f998SYi Kong* 100*1858f998SYi Kong READ( NIN, FMT = * )SNAPS 101*1858f998SYi Kong READ( NIN, FMT = * )NTRA 102*1858f998SYi Kong TRACE = NTRA.GE.0 103*1858f998SYi Kong IF( TRACE )THEN 104*1858f998SYi Kong* OPEN( NTRA, FILE = SNAPS, STATUS = 'NEW' ) 105*1858f998SYi Kong OPEN( NTRA, FILE = SNAPS ) 106*1858f998SYi Kong END IF 107*1858f998SYi Kong* Read the flag that directs rewinding of the snapshot file. 108*1858f998SYi Kong READ( NIN, FMT = * )REWI 109*1858f998SYi Kong REWI = REWI.AND.TRACE 110*1858f998SYi Kong* Read the flag that directs stopping on any failure. 111*1858f998SYi Kong READ( NIN, FMT = * )SFATAL 112*1858f998SYi Kong* Read the flag that indicates whether error exits are to be tested. 113*1858f998SYi Kong READ( NIN, FMT = * )TSTERR 114*1858f998SYi Kong* Read the flag that indicates whether row-major data layout to be tested. 115*1858f998SYi Kong READ( NIN, FMT = * )LAYOUT 116*1858f998SYi Kong* Read the threshold value of the test ratio 117*1858f998SYi Kong READ( NIN, FMT = * )THRESH 118*1858f998SYi Kong* 119*1858f998SYi Kong* Read and check the parameter values for the tests. 120*1858f998SYi Kong* 121*1858f998SYi Kong* Values of N 122*1858f998SYi Kong READ( NIN, FMT = * )NIDIM 123*1858f998SYi Kong IF( NIDIM.LT.1.OR.NIDIM.GT.NIDMAX )THEN 124*1858f998SYi Kong WRITE( NOUT, FMT = 9997 )'N', NIDMAX 125*1858f998SYi Kong GO TO 220 126*1858f998SYi Kong END IF 127*1858f998SYi Kong READ( NIN, FMT = * )( IDIM( I ), I = 1, NIDIM ) 128*1858f998SYi Kong DO 10 I = 1, NIDIM 129*1858f998SYi Kong IF( IDIM( I ).LT.0.OR.IDIM( I ).GT.NMAX )THEN 130*1858f998SYi Kong WRITE( NOUT, FMT = 9996 )NMAX 131*1858f998SYi Kong GO TO 220 132*1858f998SYi Kong END IF 133*1858f998SYi Kong 10 CONTINUE 134*1858f998SYi Kong* Values of ALPHA 135*1858f998SYi Kong READ( NIN, FMT = * )NALF 136*1858f998SYi Kong IF( NALF.LT.1.OR.NALF.GT.NALMAX )THEN 137*1858f998SYi Kong WRITE( NOUT, FMT = 9997 )'ALPHA', NALMAX 138*1858f998SYi Kong GO TO 220 139*1858f998SYi Kong END IF 140*1858f998SYi Kong READ( NIN, FMT = * )( ALF( I ), I = 1, NALF ) 141*1858f998SYi Kong* Values of BETA 142*1858f998SYi Kong READ( NIN, FMT = * )NBET 143*1858f998SYi Kong IF( NBET.LT.1.OR.NBET.GT.NBEMAX )THEN 144*1858f998SYi Kong WRITE( NOUT, FMT = 9997 )'BETA', NBEMAX 145*1858f998SYi Kong GO TO 220 146*1858f998SYi Kong END IF 147*1858f998SYi Kong READ( NIN, FMT = * )( BET( I ), I = 1, NBET ) 148*1858f998SYi Kong* 149*1858f998SYi Kong* Report values of parameters. 150*1858f998SYi Kong* 151*1858f998SYi Kong WRITE( NOUT, FMT = 9995 ) 152*1858f998SYi Kong WRITE( NOUT, FMT = 9994 )( IDIM( I ), I = 1, NIDIM ) 153*1858f998SYi Kong WRITE( NOUT, FMT = 9993 )( ALF( I ), I = 1, NALF ) 154*1858f998SYi Kong WRITE( NOUT, FMT = 9992 )( BET( I ), I = 1, NBET ) 155*1858f998SYi Kong IF( .NOT.TSTERR )THEN 156*1858f998SYi Kong WRITE( NOUT, FMT = * ) 157*1858f998SYi Kong WRITE( NOUT, FMT = 9984 ) 158*1858f998SYi Kong END IF 159*1858f998SYi Kong WRITE( NOUT, FMT = * ) 160*1858f998SYi Kong WRITE( NOUT, FMT = 9999 )THRESH 161*1858f998SYi Kong WRITE( NOUT, FMT = * ) 162*1858f998SYi Kong 163*1858f998SYi Kong RORDER = .FALSE. 164*1858f998SYi Kong CORDER = .FALSE. 165*1858f998SYi Kong IF (LAYOUT.EQ.2) THEN 166*1858f998SYi Kong RORDER = .TRUE. 167*1858f998SYi Kong CORDER = .TRUE. 168*1858f998SYi Kong WRITE( *, FMT = 10002 ) 169*1858f998SYi Kong ELSE IF (LAYOUT.EQ.1) THEN 170*1858f998SYi Kong RORDER = .TRUE. 171*1858f998SYi Kong WRITE( *, FMT = 10001 ) 172*1858f998SYi Kong ELSE IF (LAYOUT.EQ.0) THEN 173*1858f998SYi Kong CORDER = .TRUE. 174*1858f998SYi Kong WRITE( *, FMT = 10000 ) 175*1858f998SYi Kong END IF 176*1858f998SYi Kong WRITE( *, FMT = * ) 177*1858f998SYi Kong 178*1858f998SYi Kong* 179*1858f998SYi Kong* Read names of subroutines and flags which indicate 180*1858f998SYi Kong* whether they are to be tested. 181*1858f998SYi Kong* 182*1858f998SYi Kong DO 20 I = 1, NSUBS 183*1858f998SYi Kong LTEST( I ) = .FALSE. 184*1858f998SYi Kong 20 CONTINUE 185*1858f998SYi Kong 30 READ( NIN, FMT = 9988, END = 60 )SNAMET, LTESTT 186*1858f998SYi Kong DO 40 I = 1, NSUBS 187*1858f998SYi Kong IF( SNAMET.EQ.SNAMES( I ) ) 188*1858f998SYi Kong $ GO TO 50 189*1858f998SYi Kong 40 CONTINUE 190*1858f998SYi Kong WRITE( NOUT, FMT = 9990 )SNAMET 191*1858f998SYi Kong STOP 192*1858f998SYi Kong 50 LTEST( I ) = LTESTT 193*1858f998SYi Kong GO TO 30 194*1858f998SYi Kong* 195*1858f998SYi Kong 60 CONTINUE 196*1858f998SYi Kong CLOSE ( NIN ) 197*1858f998SYi Kong* 198*1858f998SYi Kong* Compute EPS (the machine precision). 199*1858f998SYi Kong* 200*1858f998SYi Kong EPS = ONE 201*1858f998SYi Kong 70 CONTINUE 202*1858f998SYi Kong IF( SDIFF( ONE + EPS, ONE ).EQ.ZERO ) 203*1858f998SYi Kong $ GO TO 80 204*1858f998SYi Kong EPS = HALF*EPS 205*1858f998SYi Kong GO TO 70 206*1858f998SYi Kong 80 CONTINUE 207*1858f998SYi Kong EPS = EPS + EPS 208*1858f998SYi Kong WRITE( NOUT, FMT = 9998 )EPS 209*1858f998SYi Kong* 210*1858f998SYi Kong* Check the reliability of SMMCH using exact data. 211*1858f998SYi Kong* 212*1858f998SYi Kong N = MIN( 32, NMAX ) 213*1858f998SYi Kong DO 100 J = 1, N 214*1858f998SYi Kong DO 90 I = 1, N 215*1858f998SYi Kong AB( I, J ) = MAX( I - J + 1, 0 ) 216*1858f998SYi Kong 90 CONTINUE 217*1858f998SYi Kong AB( J, NMAX + 1 ) = J 218*1858f998SYi Kong AB( 1, NMAX + J ) = J 219*1858f998SYi Kong C( J, 1 ) = ZERO 220*1858f998SYi Kong 100 CONTINUE 221*1858f998SYi Kong DO 110 J = 1, N 222*1858f998SYi Kong CC( J ) = J*( ( J + 1 )*J )/2 - ( ( J + 1 )*J*( J - 1 ) )/3 223*1858f998SYi Kong 110 CONTINUE 224*1858f998SYi Kong* CC holds the exact result. On exit from SMMCH CT holds 225*1858f998SYi Kong* the result computed by SMMCH. 226*1858f998SYi Kong TRANSA = 'N' 227*1858f998SYi Kong TRANSB = 'N' 228*1858f998SYi Kong CALL SMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, 229*1858f998SYi Kong $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, 230*1858f998SYi Kong $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) 231*1858f998SYi Kong SAME = LSE( CC, CT, N ) 232*1858f998SYi Kong IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN 233*1858f998SYi Kong WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR 234*1858f998SYi Kong STOP 235*1858f998SYi Kong END IF 236*1858f998SYi Kong TRANSB = 'T' 237*1858f998SYi Kong CALL SMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, 238*1858f998SYi Kong $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, 239*1858f998SYi Kong $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) 240*1858f998SYi Kong SAME = LSE( CC, CT, N ) 241*1858f998SYi Kong IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN 242*1858f998SYi Kong WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR 243*1858f998SYi Kong STOP 244*1858f998SYi Kong END IF 245*1858f998SYi Kong DO 120 J = 1, N 246*1858f998SYi Kong AB( J, NMAX + 1 ) = N - J + 1 247*1858f998SYi Kong AB( 1, NMAX + J ) = N - J + 1 248*1858f998SYi Kong 120 CONTINUE 249*1858f998SYi Kong DO 130 J = 1, N 250*1858f998SYi Kong CC( N - J + 1 ) = J*( ( J + 1 )*J )/2 - 251*1858f998SYi Kong $ ( ( J + 1 )*J*( J - 1 ) )/3 252*1858f998SYi Kong 130 CONTINUE 253*1858f998SYi Kong TRANSA = 'T' 254*1858f998SYi Kong TRANSB = 'N' 255*1858f998SYi Kong CALL SMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, 256*1858f998SYi Kong $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, 257*1858f998SYi Kong $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) 258*1858f998SYi Kong SAME = LSE( CC, CT, N ) 259*1858f998SYi Kong IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN 260*1858f998SYi Kong WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR 261*1858f998SYi Kong STOP 262*1858f998SYi Kong END IF 263*1858f998SYi Kong TRANSB = 'T' 264*1858f998SYi Kong CALL SMMCH( TRANSA, TRANSB, N, 1, N, ONE, AB, NMAX, 265*1858f998SYi Kong $ AB( 1, NMAX + 1 ), NMAX, ZERO, C, NMAX, CT, G, CC, 266*1858f998SYi Kong $ NMAX, EPS, ERR, FATAL, NOUT, .TRUE. ) 267*1858f998SYi Kong SAME = LSE( CC, CT, N ) 268*1858f998SYi Kong IF( .NOT.SAME.OR.ERR.NE.ZERO )THEN 269*1858f998SYi Kong WRITE( NOUT, FMT = 9989 )TRANSA, TRANSB, SAME, ERR 270*1858f998SYi Kong STOP 271*1858f998SYi Kong END IF 272*1858f998SYi Kong* 273*1858f998SYi Kong* Test each subroutine in turn. 274*1858f998SYi Kong* 275*1858f998SYi Kong DO 200 ISNUM = 1, NSUBS 276*1858f998SYi Kong WRITE( NOUT, FMT = * ) 277*1858f998SYi Kong IF( .NOT.LTEST( ISNUM ) )THEN 278*1858f998SYi Kong* Subprogram is not to be tested. 279*1858f998SYi Kong WRITE( NOUT, FMT = 9987 )SNAMES( ISNUM ) 280*1858f998SYi Kong ELSE 281*1858f998SYi Kong SRNAMT = SNAMES( ISNUM ) 282*1858f998SYi Kong* Test error exits. 283*1858f998SYi Kong IF( TSTERR )THEN 284*1858f998SYi Kong CALL CS3CHKE( SNAMES( ISNUM ) ) 285*1858f998SYi Kong WRITE( NOUT, FMT = * ) 286*1858f998SYi Kong END IF 287*1858f998SYi Kong* Test computations. 288*1858f998SYi Kong INFOT = 0 289*1858f998SYi Kong OK = .TRUE. 290*1858f998SYi Kong FATAL = .FALSE. 291*1858f998SYi Kong GO TO ( 140, 150, 160, 160, 170, 180 )ISNUM 292*1858f998SYi Kong* Test SGEMM, 01. 293*1858f998SYi Kong 140 IF (CORDER) THEN 294*1858f998SYi Kong CALL SCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, 295*1858f998SYi Kong $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, 296*1858f998SYi Kong $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, 297*1858f998SYi Kong $ CC, CS, CT, G, 0 ) 298*1858f998SYi Kong END IF 299*1858f998SYi Kong IF (RORDER) THEN 300*1858f998SYi Kong CALL SCHK1( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, 301*1858f998SYi Kong $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, 302*1858f998SYi Kong $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, 303*1858f998SYi Kong $ CC, CS, CT, G, 1 ) 304*1858f998SYi Kong END IF 305*1858f998SYi Kong GO TO 190 306*1858f998SYi Kong* Test SSYMM, 02. 307*1858f998SYi Kong 150 IF (CORDER) THEN 308*1858f998SYi Kong CALL SCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, 309*1858f998SYi Kong $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, 310*1858f998SYi Kong $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, 311*1858f998SYi Kong $ CC, CS, CT, G, 0 ) 312*1858f998SYi Kong END IF 313*1858f998SYi Kong IF (RORDER) THEN 314*1858f998SYi Kong CALL SCHK2( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, 315*1858f998SYi Kong $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, 316*1858f998SYi Kong $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, 317*1858f998SYi Kong $ CC, CS, CT, G, 1 ) 318*1858f998SYi Kong END IF 319*1858f998SYi Kong GO TO 190 320*1858f998SYi Kong* Test STRMM, 03, STRSM, 04. 321*1858f998SYi Kong 160 IF (CORDER) THEN 322*1858f998SYi Kong CALL SCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, 323*1858f998SYi Kong $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NMAX, AB, 324*1858f998SYi Kong $ AA, AS, AB( 1, NMAX + 1 ), BB, BS, CT, G, C, 325*1858f998SYi Kong $ 0 ) 326*1858f998SYi Kong END IF 327*1858f998SYi Kong IF (RORDER) THEN 328*1858f998SYi Kong CALL SCHK3( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, 329*1858f998SYi Kong $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NMAX, AB, 330*1858f998SYi Kong $ AA, AS, AB( 1, NMAX + 1 ), BB, BS, CT, G, C, 331*1858f998SYi Kong $ 1 ) 332*1858f998SYi Kong END IF 333*1858f998SYi Kong GO TO 190 334*1858f998SYi Kong* Test SSYRK, 05. 335*1858f998SYi Kong 170 IF (CORDER) THEN 336*1858f998SYi Kong CALL SCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, 337*1858f998SYi Kong $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, 338*1858f998SYi Kong $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, 339*1858f998SYi Kong $ CC, CS, CT, G, 0 ) 340*1858f998SYi Kong END IF 341*1858f998SYi Kong IF (RORDER) THEN 342*1858f998SYi Kong CALL SCHK4( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, 343*1858f998SYi Kong $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, 344*1858f998SYi Kong $ NMAX, AB, AA, AS, AB( 1, NMAX + 1 ), BB, BS, C, 345*1858f998SYi Kong $ CC, CS, CT, G, 1 ) 346*1858f998SYi Kong END IF 347*1858f998SYi Kong GO TO 190 348*1858f998SYi Kong* Test SSYR2K, 06. 349*1858f998SYi Kong 180 IF (CORDER) THEN 350*1858f998SYi Kong CALL SCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, 351*1858f998SYi Kong $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, 352*1858f998SYi Kong $ NMAX, AB, AA, AS, BB, BS, C, CC, CS, CT, G, W, 353*1858f998SYi Kong $ 0 ) 354*1858f998SYi Kong END IF 355*1858f998SYi Kong IF (RORDER) THEN 356*1858f998SYi Kong CALL SCHK5( SNAMES( ISNUM ), EPS, THRESH, NOUT, NTRA, TRACE, 357*1858f998SYi Kong $ REWI, FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, 358*1858f998SYi Kong $ NMAX, AB, AA, AS, BB, BS, C, CC, CS, CT, G, W, 359*1858f998SYi Kong $ 1 ) 360*1858f998SYi Kong END IF 361*1858f998SYi Kong GO TO 190 362*1858f998SYi Kong* 363*1858f998SYi Kong 190 IF( FATAL.AND.SFATAL ) 364*1858f998SYi Kong $ GO TO 210 365*1858f998SYi Kong END IF 366*1858f998SYi Kong 200 CONTINUE 367*1858f998SYi Kong WRITE( NOUT, FMT = 9986 ) 368*1858f998SYi Kong GO TO 230 369*1858f998SYi Kong* 370*1858f998SYi Kong 210 CONTINUE 371*1858f998SYi Kong WRITE( NOUT, FMT = 9985 ) 372*1858f998SYi Kong GO TO 230 373*1858f998SYi Kong* 374*1858f998SYi Kong 220 CONTINUE 375*1858f998SYi Kong WRITE( NOUT, FMT = 9991 ) 376*1858f998SYi Kong* 377*1858f998SYi Kong 230 CONTINUE 378*1858f998SYi Kong IF( TRACE ) 379*1858f998SYi Kong $ CLOSE ( NTRA ) 380*1858f998SYi Kong CLOSE ( NOUT ) 381*1858f998SYi Kong STOP 382*1858f998SYi Kong* 383*1858f998SYi Kong10002 FORMAT( ' COLUMN-MAJOR AND ROW-MAJOR DATA LAYOUTS ARE TESTED' ) 384*1858f998SYi Kong10001 FORMAT( ' ROW-MAJOR DATA LAYOUT IS TESTED' ) 385*1858f998SYi Kong10000 FORMAT( ' COLUMN-MAJOR DATA LAYOUT IS TESTED' ) 386*1858f998SYi Kong 9999 FORMAT( ' ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LES', 387*1858f998SYi Kong $ 'S THAN', F8.2 ) 388*1858f998SYi Kong 9998 FORMAT( ' RELATIVE MACHINE PRECISION IS TAKEN TO BE', 1P, E9.1 ) 389*1858f998SYi Kong 9997 FORMAT( ' NUMBER OF VALUES OF ', A, ' IS LESS THAN 1 OR GREATER ', 390*1858f998SYi Kong $ 'THAN ', I2 ) 391*1858f998SYi Kong 9996 FORMAT( ' VALUE OF N IS LESS THAN 0 OR GREATER THAN ', I2 ) 392*1858f998SYi Kong 9995 FORMAT( ' TESTS OF THE REAL LEVEL 3 BLAS', //' THE F', 393*1858f998SYi Kong $ 'OLLOWING PARAMETER VALUES WILL BE USED:' ) 394*1858f998SYi Kong 9994 FORMAT( ' FOR N ', 9I6 ) 395*1858f998SYi Kong 9993 FORMAT( ' FOR ALPHA ', 7F6.1 ) 396*1858f998SYi Kong 9992 FORMAT( ' FOR BETA ', 7F6.1 ) 397*1858f998SYi Kong 9991 FORMAT( ' AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM', 398*1858f998SYi Kong $ /' ******* TESTS ABANDONED *******' ) 399*1858f998SYi Kong 9990 FORMAT( ' SUBPROGRAM NAME ', A12,' NOT RECOGNIZED', /' ******* ', 400*1858f998SYi Kong $ 'TESTS ABANDONED *******' ) 401*1858f998SYi Kong 9989 FORMAT( ' ERROR IN SMMCH - IN-LINE DOT PRODUCTS ARE BEING EVALU', 402*1858f998SYi Kong $ 'ATED WRONGLY.', /' SMMCH WAS CALLED WITH TRANSA = ', A1, 403*1858f998SYi Kong $ ' AND TRANSB = ', A1, /' AND RETURNED SAME = ', L1, ' AND ', 404*1858f998SYi Kong $ 'ERR = ', F12.3, '.', /' THIS MAY BE DUE TO FAULTS IN THE ', 405*1858f998SYi Kong $ 'ARITHMETIC OR THE COMPILER.', /' ******* TESTS ABANDONED ', 406*1858f998SYi Kong $ '*******' ) 407*1858f998SYi Kong 9988 FORMAT( A12,L2 ) 408*1858f998SYi Kong 9987 FORMAT( 1X, A12,' WAS NOT TESTED' ) 409*1858f998SYi Kong 9986 FORMAT( /' END OF TESTS' ) 410*1858f998SYi Kong 9985 FORMAT( /' ******* FATAL ERROR - TESTS ABANDONED *******' ) 411*1858f998SYi Kong 9984 FORMAT( ' ERROR-EXITS WILL NOT BE TESTED' ) 412*1858f998SYi Kong* 413*1858f998SYi Kong* End of SBLAT3. 414*1858f998SYi Kong* 415*1858f998SYi Kong END 416*1858f998SYi Kong SUBROUTINE SCHK1( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, 417*1858f998SYi Kong $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, 418*1858f998SYi Kong $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G, 419*1858f998SYi Kong $ IORDER ) 420*1858f998SYi Kong* 421*1858f998SYi Kong* Tests SGEMM. 422*1858f998SYi Kong* 423*1858f998SYi Kong* Auxiliary routine for test program for Level 3 Blas. 424*1858f998SYi Kong* 425*1858f998SYi Kong* -- Written on 8-February-1989. 426*1858f998SYi Kong* Jack Dongarra, Argonne National Laboratory. 427*1858f998SYi Kong* Iain Duff, AERE Harwell. 428*1858f998SYi Kong* Jeremy Du Croz, Numerical Algorithms Group Ltd. 429*1858f998SYi Kong* Sven Hammarling, Numerical Algorithms Group Ltd. 430*1858f998SYi Kong* 431*1858f998SYi Kong* .. Parameters .. 432*1858f998SYi Kong REAL ZERO 433*1858f998SYi Kong PARAMETER ( ZERO = 0.0 ) 434*1858f998SYi Kong* .. Scalar Arguments .. 435*1858f998SYi Kong REAL EPS, THRESH 436*1858f998SYi Kong INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER 437*1858f998SYi Kong LOGICAL FATAL, REWI, TRACE 438*1858f998SYi Kong CHARACTER*12 SNAME 439*1858f998SYi Kong* .. Array Arguments .. 440*1858f998SYi Kong REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), 441*1858f998SYi Kong $ AS( NMAX*NMAX ), B( NMAX, NMAX ), 442*1858f998SYi Kong $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ), 443*1858f998SYi Kong $ C( NMAX, NMAX ), CC( NMAX*NMAX ), 444*1858f998SYi Kong $ CS( NMAX*NMAX ), CT( NMAX ), G( NMAX ) 445*1858f998SYi Kong INTEGER IDIM( NIDIM ) 446*1858f998SYi Kong* .. Local Scalars .. 447*1858f998SYi Kong REAL ALPHA, ALS, BETA, BLS, ERR, ERRMAX 448*1858f998SYi Kong INTEGER I, IA, IB, ICA, ICB, IK, IM, IN, K, KS, LAA, 449*1858f998SYi Kong $ LBB, LCC, LDA, LDAS, LDB, LDBS, LDC, LDCS, M, 450*1858f998SYi Kong $ MA, MB, MS, N, NA, NARGS, NB, NC, NS 451*1858f998SYi Kong LOGICAL NULL, RESET, SAME, TRANA, TRANB 452*1858f998SYi Kong CHARACTER*1 TRANAS, TRANBS, TRANSA, TRANSB 453*1858f998SYi Kong CHARACTER*3 ICH 454*1858f998SYi Kong* .. Local Arrays .. 455*1858f998SYi Kong LOGICAL ISAME( 13 ) 456*1858f998SYi Kong* .. External Functions .. 457*1858f998SYi Kong LOGICAL LSE, LSERES 458*1858f998SYi Kong EXTERNAL LSE, LSERES 459*1858f998SYi Kong* .. External Subroutines .. 460*1858f998SYi Kong EXTERNAL CSGEMM, SMAKE, SMMCH 461*1858f998SYi Kong* .. Intrinsic Functions .. 462*1858f998SYi Kong INTRINSIC MAX 463*1858f998SYi Kong* .. Scalars in Common .. 464*1858f998SYi Kong INTEGER INFOT, NOUTC 465*1858f998SYi Kong LOGICAL OK 466*1858f998SYi Kong* .. Common blocks .. 467*1858f998SYi Kong COMMON /INFOC/INFOT, NOUTC, OK 468*1858f998SYi Kong* .. Data statements .. 469*1858f998SYi Kong DATA ICH/'NTC'/ 470*1858f998SYi Kong* .. Executable Statements .. 471*1858f998SYi Kong* 472*1858f998SYi Kong NARGS = 13 473*1858f998SYi Kong NC = 0 474*1858f998SYi Kong RESET = .TRUE. 475*1858f998SYi Kong ERRMAX = ZERO 476*1858f998SYi Kong* 477*1858f998SYi Kong DO 110 IM = 1, NIDIM 478*1858f998SYi Kong M = IDIM( IM ) 479*1858f998SYi Kong* 480*1858f998SYi Kong DO 100 IN = 1, NIDIM 481*1858f998SYi Kong N = IDIM( IN ) 482*1858f998SYi Kong* Set LDC to 1 more than minimum value if room. 483*1858f998SYi Kong LDC = M 484*1858f998SYi Kong IF( LDC.LT.NMAX ) 485*1858f998SYi Kong $ LDC = LDC + 1 486*1858f998SYi Kong* Skip tests if not enough room. 487*1858f998SYi Kong IF( LDC.GT.NMAX ) 488*1858f998SYi Kong $ GO TO 100 489*1858f998SYi Kong LCC = LDC*N 490*1858f998SYi Kong NULL = N.LE.0.OR.M.LE.0 491*1858f998SYi Kong* 492*1858f998SYi Kong DO 90 IK = 1, NIDIM 493*1858f998SYi Kong K = IDIM( IK ) 494*1858f998SYi Kong* 495*1858f998SYi Kong DO 80 ICA = 1, 3 496*1858f998SYi Kong TRANSA = ICH( ICA: ICA ) 497*1858f998SYi Kong TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C' 498*1858f998SYi Kong* 499*1858f998SYi Kong IF( TRANA )THEN 500*1858f998SYi Kong MA = K 501*1858f998SYi Kong NA = M 502*1858f998SYi Kong ELSE 503*1858f998SYi Kong MA = M 504*1858f998SYi Kong NA = K 505*1858f998SYi Kong END IF 506*1858f998SYi Kong* Set LDA to 1 more than minimum value if room. 507*1858f998SYi Kong LDA = MA 508*1858f998SYi Kong IF( LDA.LT.NMAX ) 509*1858f998SYi Kong $ LDA = LDA + 1 510*1858f998SYi Kong* Skip tests if not enough room. 511*1858f998SYi Kong IF( LDA.GT.NMAX ) 512*1858f998SYi Kong $ GO TO 80 513*1858f998SYi Kong LAA = LDA*NA 514*1858f998SYi Kong* 515*1858f998SYi Kong* Generate the matrix A. 516*1858f998SYi Kong* 517*1858f998SYi Kong CALL SMAKE( 'GE', ' ', ' ', MA, NA, A, NMAX, AA, LDA, 518*1858f998SYi Kong $ RESET, ZERO ) 519*1858f998SYi Kong* 520*1858f998SYi Kong DO 70 ICB = 1, 3 521*1858f998SYi Kong TRANSB = ICH( ICB: ICB ) 522*1858f998SYi Kong TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C' 523*1858f998SYi Kong* 524*1858f998SYi Kong IF( TRANB )THEN 525*1858f998SYi Kong MB = N 526*1858f998SYi Kong NB = K 527*1858f998SYi Kong ELSE 528*1858f998SYi Kong MB = K 529*1858f998SYi Kong NB = N 530*1858f998SYi Kong END IF 531*1858f998SYi Kong* Set LDB to 1 more than minimum value if room. 532*1858f998SYi Kong LDB = MB 533*1858f998SYi Kong IF( LDB.LT.NMAX ) 534*1858f998SYi Kong $ LDB = LDB + 1 535*1858f998SYi Kong* Skip tests if not enough room. 536*1858f998SYi Kong IF( LDB.GT.NMAX ) 537*1858f998SYi Kong $ GO TO 70 538*1858f998SYi Kong LBB = LDB*NB 539*1858f998SYi Kong* 540*1858f998SYi Kong* Generate the matrix B. 541*1858f998SYi Kong* 542*1858f998SYi Kong CALL SMAKE( 'GE', ' ', ' ', MB, NB, B, NMAX, BB, 543*1858f998SYi Kong $ LDB, RESET, ZERO ) 544*1858f998SYi Kong* 545*1858f998SYi Kong DO 60 IA = 1, NALF 546*1858f998SYi Kong ALPHA = ALF( IA ) 547*1858f998SYi Kong* 548*1858f998SYi Kong DO 50 IB = 1, NBET 549*1858f998SYi Kong BETA = BET( IB ) 550*1858f998SYi Kong* 551*1858f998SYi Kong* Generate the matrix C. 552*1858f998SYi Kong* 553*1858f998SYi Kong CALL SMAKE( 'GE', ' ', ' ', M, N, C, NMAX, 554*1858f998SYi Kong $ CC, LDC, RESET, ZERO ) 555*1858f998SYi Kong* 556*1858f998SYi Kong NC = NC + 1 557*1858f998SYi Kong* 558*1858f998SYi Kong* Save every datum before calling the 559*1858f998SYi Kong* subroutine. 560*1858f998SYi Kong* 561*1858f998SYi Kong TRANAS = TRANSA 562*1858f998SYi Kong TRANBS = TRANSB 563*1858f998SYi Kong MS = M 564*1858f998SYi Kong NS = N 565*1858f998SYi Kong KS = K 566*1858f998SYi Kong ALS = ALPHA 567*1858f998SYi Kong DO 10 I = 1, LAA 568*1858f998SYi Kong AS( I ) = AA( I ) 569*1858f998SYi Kong 10 CONTINUE 570*1858f998SYi Kong LDAS = LDA 571*1858f998SYi Kong DO 20 I = 1, LBB 572*1858f998SYi Kong BS( I ) = BB( I ) 573*1858f998SYi Kong 20 CONTINUE 574*1858f998SYi Kong LDBS = LDB 575*1858f998SYi Kong BLS = BETA 576*1858f998SYi Kong DO 30 I = 1, LCC 577*1858f998SYi Kong CS( I ) = CC( I ) 578*1858f998SYi Kong 30 CONTINUE 579*1858f998SYi Kong LDCS = LDC 580*1858f998SYi Kong* 581*1858f998SYi Kong* Call the subroutine. 582*1858f998SYi Kong* 583*1858f998SYi Kong IF( TRACE ) 584*1858f998SYi Kong $ CALL SPRCN1(NTRA, NC, SNAME, IORDER, 585*1858f998SYi Kong $ TRANSA, TRANSB, M, N, K, ALPHA, LDA, 586*1858f998SYi Kong $ LDB, BETA, LDC) 587*1858f998SYi Kong IF( REWI ) 588*1858f998SYi Kong $ REWIND NTRA 589*1858f998SYi Kong CALL CSGEMM( IORDER, TRANSA, TRANSB, M, N, 590*1858f998SYi Kong $ K, ALPHA, AA, LDA, BB, LDB, 591*1858f998SYi Kong $ BETA, CC, LDC ) 592*1858f998SYi Kong* 593*1858f998SYi Kong* Check if error-exit was taken incorrectly. 594*1858f998SYi Kong* 595*1858f998SYi Kong IF( .NOT.OK )THEN 596*1858f998SYi Kong WRITE( NOUT, FMT = 9994 ) 597*1858f998SYi Kong FATAL = .TRUE. 598*1858f998SYi Kong GO TO 120 599*1858f998SYi Kong END IF 600*1858f998SYi Kong* 601*1858f998SYi Kong* See what data changed inside subroutines. 602*1858f998SYi Kong* 603*1858f998SYi Kong ISAME( 1 ) = TRANSA.EQ.TRANAS 604*1858f998SYi Kong ISAME( 2 ) = TRANSB.EQ.TRANBS 605*1858f998SYi Kong ISAME( 3 ) = MS.EQ.M 606*1858f998SYi Kong ISAME( 4 ) = NS.EQ.N 607*1858f998SYi Kong ISAME( 5 ) = KS.EQ.K 608*1858f998SYi Kong ISAME( 6 ) = ALS.EQ.ALPHA 609*1858f998SYi Kong ISAME( 7 ) = LSE( AS, AA, LAA ) 610*1858f998SYi Kong ISAME( 8 ) = LDAS.EQ.LDA 611*1858f998SYi Kong ISAME( 9 ) = LSE( BS, BB, LBB ) 612*1858f998SYi Kong ISAME( 10 ) = LDBS.EQ.LDB 613*1858f998SYi Kong ISAME( 11 ) = BLS.EQ.BETA 614*1858f998SYi Kong IF( NULL )THEN 615*1858f998SYi Kong ISAME( 12 ) = LSE( CS, CC, LCC ) 616*1858f998SYi Kong ELSE 617*1858f998SYi Kong ISAME( 12 ) = LSERES( 'GE', ' ', M, N, CS, 618*1858f998SYi Kong $ CC, LDC ) 619*1858f998SYi Kong END IF 620*1858f998SYi Kong ISAME( 13 ) = LDCS.EQ.LDC 621*1858f998SYi Kong* 622*1858f998SYi Kong* If data was incorrectly changed, report 623*1858f998SYi Kong* and return. 624*1858f998SYi Kong* 625*1858f998SYi Kong SAME = .TRUE. 626*1858f998SYi Kong DO 40 I = 1, NARGS 627*1858f998SYi Kong SAME = SAME.AND.ISAME( I ) 628*1858f998SYi Kong IF( .NOT.ISAME( I ) ) 629*1858f998SYi Kong $ WRITE( NOUT, FMT = 9998 )I+1 630*1858f998SYi Kong 40 CONTINUE 631*1858f998SYi Kong IF( .NOT.SAME )THEN 632*1858f998SYi Kong FATAL = .TRUE. 633*1858f998SYi Kong GO TO 120 634*1858f998SYi Kong END IF 635*1858f998SYi Kong* 636*1858f998SYi Kong IF( .NOT.NULL )THEN 637*1858f998SYi Kong* 638*1858f998SYi Kong* Check the result. 639*1858f998SYi Kong* 640*1858f998SYi Kong CALL SMMCH( TRANSA, TRANSB, M, N, K, 641*1858f998SYi Kong $ ALPHA, A, NMAX, B, NMAX, BETA, 642*1858f998SYi Kong $ C, NMAX, CT, G, CC, LDC, EPS, 643*1858f998SYi Kong $ ERR, FATAL, NOUT, .TRUE. ) 644*1858f998SYi Kong ERRMAX = MAX( ERRMAX, ERR ) 645*1858f998SYi Kong* If got really bad answer, report and 646*1858f998SYi Kong* return. 647*1858f998SYi Kong IF( FATAL ) 648*1858f998SYi Kong $ GO TO 120 649*1858f998SYi Kong END IF 650*1858f998SYi Kong* 651*1858f998SYi Kong 50 CONTINUE 652*1858f998SYi Kong* 653*1858f998SYi Kong 60 CONTINUE 654*1858f998SYi Kong* 655*1858f998SYi Kong 70 CONTINUE 656*1858f998SYi Kong* 657*1858f998SYi Kong 80 CONTINUE 658*1858f998SYi Kong* 659*1858f998SYi Kong 90 CONTINUE 660*1858f998SYi Kong* 661*1858f998SYi Kong 100 CONTINUE 662*1858f998SYi Kong* 663*1858f998SYi Kong 110 CONTINUE 664*1858f998SYi Kong* 665*1858f998SYi Kong* Report result. 666*1858f998SYi Kong* 667*1858f998SYi Kong IF( ERRMAX.LT.THRESH )THEN 668*1858f998SYi Kong IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC 669*1858f998SYi Kong IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC 670*1858f998SYi Kong ELSE 671*1858f998SYi Kong IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX 672*1858f998SYi Kong IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX 673*1858f998SYi Kong END IF 674*1858f998SYi Kong GO TO 130 675*1858f998SYi Kong* 676*1858f998SYi Kong 120 CONTINUE 677*1858f998SYi Kong WRITE( NOUT, FMT = 9996 )SNAME 678*1858f998SYi Kong CALL SPRCN1(NOUT, NC, SNAME, IORDER, TRANSA, TRANSB, 679*1858f998SYi Kong $ M, N, K, ALPHA, LDA, LDB, BETA, LDC) 680*1858f998SYi Kong* 681*1858f998SYi Kong 130 CONTINUE 682*1858f998SYi Kong RETURN 683*1858f998SYi Kong* 684*1858f998SYi Kong10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ', 685*1858f998SYi Kong $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ', 686*1858f998SYi Kong $ 'RATIO ', F8.2, ' - SUSPECT *******' ) 687*1858f998SYi Kong10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ', 688*1858f998SYi Kong $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ', 689*1858f998SYi Kong $ 'RATIO ', F8.2, ' - SUSPECT *******' ) 690*1858f998SYi Kong10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS', 691*1858f998SYi Kong $ ' (', I6, ' CALL', 'S)' ) 692*1858f998SYi Kong10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS', 693*1858f998SYi Kong $ ' (', I6, ' CALL', 'S)' ) 694*1858f998SYi Kong 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', 695*1858f998SYi Kong $ 'ANGED INCORRECTLY *******' ) 696*1858f998SYi Kong 9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' ) 697*1858f998SYi Kong 9995 FORMAT( 1X, I6, ': ', A12,'(''', A1, ''',''', A1, ''',', 698*1858f998SYi Kong $ 3( I3, ',' ), F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', ', 699*1858f998SYi Kong $ 'C,', I3, ').' ) 700*1858f998SYi Kong 9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', 701*1858f998SYi Kong $ '******' ) 702*1858f998SYi Kong* 703*1858f998SYi Kong* End of SCHK1. 704*1858f998SYi Kong* 705*1858f998SYi Kong END 706*1858f998SYi Kong* 707*1858f998SYi Kong* 708*1858f998SYi Kong* 709*1858f998SYi Kong SUBROUTINE SPRCN1(NOUT, NC, SNAME, IORDER, TRANSA, TRANSB, M, N, 710*1858f998SYi Kong $ K, ALPHA, LDA, LDB, BETA, LDC) 711*1858f998SYi Kong INTEGER NOUT, NC, IORDER, M, N, K, LDA, LDB, LDC 712*1858f998SYi Kong REAL ALPHA, BETA 713*1858f998SYi Kong CHARACTER*1 TRANSA, TRANSB 714*1858f998SYi Kong CHARACTER*12 SNAME 715*1858f998SYi Kong CHARACTER*14 CRC, CTA,CTB 716*1858f998SYi Kong 717*1858f998SYi Kong IF (TRANSA.EQ.'N')THEN 718*1858f998SYi Kong CTA = ' CblasNoTrans' 719*1858f998SYi Kong ELSE IF (TRANSA.EQ.'T')THEN 720*1858f998SYi Kong CTA = ' CblasTrans' 721*1858f998SYi Kong ELSE 722*1858f998SYi Kong CTA = 'CblasConjTrans' 723*1858f998SYi Kong END IF 724*1858f998SYi Kong IF (TRANSB.EQ.'N')THEN 725*1858f998SYi Kong CTB = ' CblasNoTrans' 726*1858f998SYi Kong ELSE IF (TRANSB.EQ.'T')THEN 727*1858f998SYi Kong CTB = ' CblasTrans' 728*1858f998SYi Kong ELSE 729*1858f998SYi Kong CTB = 'CblasConjTrans' 730*1858f998SYi Kong END IF 731*1858f998SYi Kong IF (IORDER.EQ.1)THEN 732*1858f998SYi Kong CRC = ' CblasRowMajor' 733*1858f998SYi Kong ELSE 734*1858f998SYi Kong CRC = ' CblasColMajor' 735*1858f998SYi Kong END IF 736*1858f998SYi Kong WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CTA,CTB 737*1858f998SYi Kong WRITE(NOUT, FMT = 9994)M, N, K, ALPHA, LDA, LDB, BETA, LDC 738*1858f998SYi Kong 739*1858f998SYi Kong 9995 FORMAT( 1X, I6, ': ', A12,'(', A14, ',', A14, ',', A14, ',') 740*1858f998SYi Kong 9994 FORMAT( 20X, 3( I3, ',' ), F4.1, ', A,', I3, ', B,', I3, ',', 741*1858f998SYi Kong $ F4.1, ', ', 'C,', I3, ').' ) 742*1858f998SYi Kong END 743*1858f998SYi Kong* 744*1858f998SYi Kong SUBROUTINE SCHK2( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, 745*1858f998SYi Kong $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, 746*1858f998SYi Kong $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G, 747*1858f998SYi Kong $ IORDER ) 748*1858f998SYi Kong* 749*1858f998SYi Kong* Tests SSYMM. 750*1858f998SYi Kong* 751*1858f998SYi Kong* Auxiliary routine for test program for Level 3 Blas. 752*1858f998SYi Kong* 753*1858f998SYi Kong* -- Written on 8-February-1989. 754*1858f998SYi Kong* Jack Dongarra, Argonne National Laboratory. 755*1858f998SYi Kong* Iain Duff, AERE Harwell. 756*1858f998SYi Kong* Jeremy Du Croz, Numerical Algorithms Group Ltd. 757*1858f998SYi Kong* Sven Hammarling, Numerical Algorithms Group Ltd. 758*1858f998SYi Kong* 759*1858f998SYi Kong* .. Parameters .. 760*1858f998SYi Kong REAL ZERO 761*1858f998SYi Kong PARAMETER ( ZERO = 0.0 ) 762*1858f998SYi Kong* .. Scalar Arguments .. 763*1858f998SYi Kong REAL EPS, THRESH 764*1858f998SYi Kong INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER 765*1858f998SYi Kong LOGICAL FATAL, REWI, TRACE 766*1858f998SYi Kong CHARACTER*12 SNAME 767*1858f998SYi Kong* .. Array Arguments .. 768*1858f998SYi Kong REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), 769*1858f998SYi Kong $ AS( NMAX*NMAX ), B( NMAX, NMAX ), 770*1858f998SYi Kong $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ), 771*1858f998SYi Kong $ C( NMAX, NMAX ), CC( NMAX*NMAX ), 772*1858f998SYi Kong $ CS( NMAX*NMAX ), CT( NMAX ), G( NMAX ) 773*1858f998SYi Kong INTEGER IDIM( NIDIM ) 774*1858f998SYi Kong* .. Local Scalars .. 775*1858f998SYi Kong REAL ALPHA, ALS, BETA, BLS, ERR, ERRMAX 776*1858f998SYi Kong INTEGER I, IA, IB, ICS, ICU, IM, IN, LAA, LBB, LCC, 777*1858f998SYi Kong $ LDA, LDAS, LDB, LDBS, LDC, LDCS, M, MS, N, NA, 778*1858f998SYi Kong $ NARGS, NC, NS 779*1858f998SYi Kong LOGICAL LEFT, NULL, RESET, SAME 780*1858f998SYi Kong CHARACTER*1 SIDE, SIDES, UPLO, UPLOS 781*1858f998SYi Kong CHARACTER*2 ICHS, ICHU 782*1858f998SYi Kong* .. Local Arrays .. 783*1858f998SYi Kong LOGICAL ISAME( 13 ) 784*1858f998SYi Kong* .. External Functions .. 785*1858f998SYi Kong LOGICAL LSE, LSERES 786*1858f998SYi Kong EXTERNAL LSE, LSERES 787*1858f998SYi Kong* .. External Subroutines .. 788*1858f998SYi Kong EXTERNAL SMAKE, SMMCH, CSSYMM 789*1858f998SYi Kong* .. Intrinsic Functions .. 790*1858f998SYi Kong INTRINSIC MAX 791*1858f998SYi Kong* .. Scalars in Common .. 792*1858f998SYi Kong INTEGER INFOT, NOUTC 793*1858f998SYi Kong LOGICAL OK 794*1858f998SYi Kong* .. Common blocks .. 795*1858f998SYi Kong COMMON /INFOC/INFOT, NOUTC, OK 796*1858f998SYi Kong* .. Data statements .. 797*1858f998SYi Kong DATA ICHS/'LR'/, ICHU/'UL'/ 798*1858f998SYi Kong* .. Executable Statements .. 799*1858f998SYi Kong* 800*1858f998SYi Kong NARGS = 12 801*1858f998SYi Kong NC = 0 802*1858f998SYi Kong RESET = .TRUE. 803*1858f998SYi Kong ERRMAX = ZERO 804*1858f998SYi Kong* 805*1858f998SYi Kong DO 100 IM = 1, NIDIM 806*1858f998SYi Kong M = IDIM( IM ) 807*1858f998SYi Kong* 808*1858f998SYi Kong DO 90 IN = 1, NIDIM 809*1858f998SYi Kong N = IDIM( IN ) 810*1858f998SYi Kong* Set LDC to 1 more than minimum value if room. 811*1858f998SYi Kong LDC = M 812*1858f998SYi Kong IF( LDC.LT.NMAX ) 813*1858f998SYi Kong $ LDC = LDC + 1 814*1858f998SYi Kong* Skip tests if not enough room. 815*1858f998SYi Kong IF( LDC.GT.NMAX ) 816*1858f998SYi Kong $ GO TO 90 817*1858f998SYi Kong LCC = LDC*N 818*1858f998SYi Kong NULL = N.LE.0.OR.M.LE.0 819*1858f998SYi Kong* 820*1858f998SYi Kong* Set LDB to 1 more than minimum value if room. 821*1858f998SYi Kong LDB = M 822*1858f998SYi Kong IF( LDB.LT.NMAX ) 823*1858f998SYi Kong $ LDB = LDB + 1 824*1858f998SYi Kong* Skip tests if not enough room. 825*1858f998SYi Kong IF( LDB.GT.NMAX ) 826*1858f998SYi Kong $ GO TO 90 827*1858f998SYi Kong LBB = LDB*N 828*1858f998SYi Kong* 829*1858f998SYi Kong* Generate the matrix B. 830*1858f998SYi Kong* 831*1858f998SYi Kong CALL SMAKE( 'GE', ' ', ' ', M, N, B, NMAX, BB, LDB, RESET, 832*1858f998SYi Kong $ ZERO ) 833*1858f998SYi Kong* 834*1858f998SYi Kong DO 80 ICS = 1, 2 835*1858f998SYi Kong SIDE = ICHS( ICS: ICS ) 836*1858f998SYi Kong LEFT = SIDE.EQ.'L' 837*1858f998SYi Kong* 838*1858f998SYi Kong IF( LEFT )THEN 839*1858f998SYi Kong NA = M 840*1858f998SYi Kong ELSE 841*1858f998SYi Kong NA = N 842*1858f998SYi Kong END IF 843*1858f998SYi Kong* Set LDA to 1 more than minimum value if room. 844*1858f998SYi Kong LDA = NA 845*1858f998SYi Kong IF( LDA.LT.NMAX ) 846*1858f998SYi Kong $ LDA = LDA + 1 847*1858f998SYi Kong* Skip tests if not enough room. 848*1858f998SYi Kong IF( LDA.GT.NMAX ) 849*1858f998SYi Kong $ GO TO 80 850*1858f998SYi Kong LAA = LDA*NA 851*1858f998SYi Kong* 852*1858f998SYi Kong DO 70 ICU = 1, 2 853*1858f998SYi Kong UPLO = ICHU( ICU: ICU ) 854*1858f998SYi Kong* 855*1858f998SYi Kong* Generate the symmetric matrix A. 856*1858f998SYi Kong* 857*1858f998SYi Kong CALL SMAKE( 'SY', UPLO, ' ', NA, NA, A, NMAX, AA, LDA, 858*1858f998SYi Kong $ RESET, ZERO ) 859*1858f998SYi Kong* 860*1858f998SYi Kong DO 60 IA = 1, NALF 861*1858f998SYi Kong ALPHA = ALF( IA ) 862*1858f998SYi Kong* 863*1858f998SYi Kong DO 50 IB = 1, NBET 864*1858f998SYi Kong BETA = BET( IB ) 865*1858f998SYi Kong* 866*1858f998SYi Kong* Generate the matrix C. 867*1858f998SYi Kong* 868*1858f998SYi Kong CALL SMAKE( 'GE', ' ', ' ', M, N, C, NMAX, CC, 869*1858f998SYi Kong $ LDC, RESET, ZERO ) 870*1858f998SYi Kong* 871*1858f998SYi Kong NC = NC + 1 872*1858f998SYi Kong* 873*1858f998SYi Kong* Save every datum before calling the 874*1858f998SYi Kong* subroutine. 875*1858f998SYi Kong* 876*1858f998SYi Kong SIDES = SIDE 877*1858f998SYi Kong UPLOS = UPLO 878*1858f998SYi Kong MS = M 879*1858f998SYi Kong NS = N 880*1858f998SYi Kong ALS = ALPHA 881*1858f998SYi Kong DO 10 I = 1, LAA 882*1858f998SYi Kong AS( I ) = AA( I ) 883*1858f998SYi Kong 10 CONTINUE 884*1858f998SYi Kong LDAS = LDA 885*1858f998SYi Kong DO 20 I = 1, LBB 886*1858f998SYi Kong BS( I ) = BB( I ) 887*1858f998SYi Kong 20 CONTINUE 888*1858f998SYi Kong LDBS = LDB 889*1858f998SYi Kong BLS = BETA 890*1858f998SYi Kong DO 30 I = 1, LCC 891*1858f998SYi Kong CS( I ) = CC( I ) 892*1858f998SYi Kong 30 CONTINUE 893*1858f998SYi Kong LDCS = LDC 894*1858f998SYi Kong* 895*1858f998SYi Kong* Call the subroutine. 896*1858f998SYi Kong* 897*1858f998SYi Kong IF( TRACE ) 898*1858f998SYi Kong $ CALL SPRCN2(NTRA, NC, SNAME, IORDER, 899*1858f998SYi Kong $ SIDE, UPLO, M, N, ALPHA, LDA, LDB, 900*1858f998SYi Kong $ BETA, LDC) 901*1858f998SYi Kong IF( REWI ) 902*1858f998SYi Kong $ REWIND NTRA 903*1858f998SYi Kong CALL CSSYMM( IORDER, SIDE, UPLO, M, N, ALPHA, 904*1858f998SYi Kong $ AA, LDA, BB, LDB, BETA, CC, LDC ) 905*1858f998SYi Kong* 906*1858f998SYi Kong* Check if error-exit was taken incorrectly. 907*1858f998SYi Kong* 908*1858f998SYi Kong IF( .NOT.OK )THEN 909*1858f998SYi Kong WRITE( NOUT, FMT = 9994 ) 910*1858f998SYi Kong FATAL = .TRUE. 911*1858f998SYi Kong GO TO 110 912*1858f998SYi Kong END IF 913*1858f998SYi Kong* 914*1858f998SYi Kong* See what data changed inside subroutines. 915*1858f998SYi Kong* 916*1858f998SYi Kong ISAME( 1 ) = SIDES.EQ.SIDE 917*1858f998SYi Kong ISAME( 2 ) = UPLOS.EQ.UPLO 918*1858f998SYi Kong ISAME( 3 ) = MS.EQ.M 919*1858f998SYi Kong ISAME( 4 ) = NS.EQ.N 920*1858f998SYi Kong ISAME( 5 ) = ALS.EQ.ALPHA 921*1858f998SYi Kong ISAME( 6 ) = LSE( AS, AA, LAA ) 922*1858f998SYi Kong ISAME( 7 ) = LDAS.EQ.LDA 923*1858f998SYi Kong ISAME( 8 ) = LSE( BS, BB, LBB ) 924*1858f998SYi Kong ISAME( 9 ) = LDBS.EQ.LDB 925*1858f998SYi Kong ISAME( 10 ) = BLS.EQ.BETA 926*1858f998SYi Kong IF( NULL )THEN 927*1858f998SYi Kong ISAME( 11 ) = LSE( CS, CC, LCC ) 928*1858f998SYi Kong ELSE 929*1858f998SYi Kong ISAME( 11 ) = LSERES( 'GE', ' ', M, N, CS, 930*1858f998SYi Kong $ CC, LDC ) 931*1858f998SYi Kong END IF 932*1858f998SYi Kong ISAME( 12 ) = LDCS.EQ.LDC 933*1858f998SYi Kong* 934*1858f998SYi Kong* If data was incorrectly changed, report and 935*1858f998SYi Kong* return. 936*1858f998SYi Kong* 937*1858f998SYi Kong SAME = .TRUE. 938*1858f998SYi Kong DO 40 I = 1, NARGS 939*1858f998SYi Kong SAME = SAME.AND.ISAME( I ) 940*1858f998SYi Kong IF( .NOT.ISAME( I ) ) 941*1858f998SYi Kong $ WRITE( NOUT, FMT = 9998 )I+1 942*1858f998SYi Kong 40 CONTINUE 943*1858f998SYi Kong IF( .NOT.SAME )THEN 944*1858f998SYi Kong FATAL = .TRUE. 945*1858f998SYi Kong GO TO 110 946*1858f998SYi Kong END IF 947*1858f998SYi Kong* 948*1858f998SYi Kong IF( .NOT.NULL )THEN 949*1858f998SYi Kong* 950*1858f998SYi Kong* Check the result. 951*1858f998SYi Kong* 952*1858f998SYi Kong IF( LEFT )THEN 953*1858f998SYi Kong CALL SMMCH( 'N', 'N', M, N, M, ALPHA, A, 954*1858f998SYi Kong $ NMAX, B, NMAX, BETA, C, NMAX, 955*1858f998SYi Kong $ CT, G, CC, LDC, EPS, ERR, 956*1858f998SYi Kong $ FATAL, NOUT, .TRUE. ) 957*1858f998SYi Kong ELSE 958*1858f998SYi Kong CALL SMMCH( 'N', 'N', M, N, N, ALPHA, B, 959*1858f998SYi Kong $ NMAX, A, NMAX, BETA, C, NMAX, 960*1858f998SYi Kong $ CT, G, CC, LDC, EPS, ERR, 961*1858f998SYi Kong $ FATAL, NOUT, .TRUE. ) 962*1858f998SYi Kong END IF 963*1858f998SYi Kong ERRMAX = MAX( ERRMAX, ERR ) 964*1858f998SYi Kong* If got really bad answer, report and 965*1858f998SYi Kong* return. 966*1858f998SYi Kong IF( FATAL ) 967*1858f998SYi Kong $ GO TO 110 968*1858f998SYi Kong END IF 969*1858f998SYi Kong* 970*1858f998SYi Kong 50 CONTINUE 971*1858f998SYi Kong* 972*1858f998SYi Kong 60 CONTINUE 973*1858f998SYi Kong* 974*1858f998SYi Kong 70 CONTINUE 975*1858f998SYi Kong* 976*1858f998SYi Kong 80 CONTINUE 977*1858f998SYi Kong* 978*1858f998SYi Kong 90 CONTINUE 979*1858f998SYi Kong* 980*1858f998SYi Kong 100 CONTINUE 981*1858f998SYi Kong* 982*1858f998SYi Kong* Report result. 983*1858f998SYi Kong* 984*1858f998SYi Kong IF( ERRMAX.LT.THRESH )THEN 985*1858f998SYi Kong IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC 986*1858f998SYi Kong IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC 987*1858f998SYi Kong ELSE 988*1858f998SYi Kong IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX 989*1858f998SYi Kong IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX 990*1858f998SYi Kong END IF 991*1858f998SYi Kong GO TO 120 992*1858f998SYi Kong* 993*1858f998SYi Kong 110 CONTINUE 994*1858f998SYi Kong WRITE( NOUT, FMT = 9996 )SNAME 995*1858f998SYi Kong CALL SPRCN2(NOUT, NC, SNAME, IORDER, SIDE, UPLO, M, N, ALPHA, LDA, 996*1858f998SYi Kong $ LDB, BETA, LDC) 997*1858f998SYi Kong* 998*1858f998SYi Kong 120 CONTINUE 999*1858f998SYi Kong RETURN 1000*1858f998SYi Kong* 1001*1858f998SYi Kong10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ', 1002*1858f998SYi Kong $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ', 1003*1858f998SYi Kong $ 'RATIO ', F8.2, ' - SUSPECT *******' ) 1004*1858f998SYi Kong10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ', 1005*1858f998SYi Kong $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ', 1006*1858f998SYi Kong $ 'RATIO ', F8.2, ' - SUSPECT *******' ) 1007*1858f998SYi Kong10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS', 1008*1858f998SYi Kong $ ' (', I6, ' CALL', 'S)' ) 1009*1858f998SYi Kong10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS', 1010*1858f998SYi Kong $ ' (', I6, ' CALL', 'S)' ) 1011*1858f998SYi Kong 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', 1012*1858f998SYi Kong $ 'ANGED INCORRECTLY *******' ) 1013*1858f998SYi Kong 9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' ) 1014*1858f998SYi Kong 9995 FORMAT( 1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ), 1015*1858f998SYi Kong $ F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', C,', I3, ') ', 1016*1858f998SYi Kong $ ' .' ) 1017*1858f998SYi Kong 9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', 1018*1858f998SYi Kong $ '******' ) 1019*1858f998SYi Kong* 1020*1858f998SYi Kong* End of SCHK2. 1021*1858f998SYi Kong* 1022*1858f998SYi Kong END 1023*1858f998SYi Kong* 1024*1858f998SYi Kong SUBROUTINE SPRCN2(NOUT, NC, SNAME, IORDER, SIDE, UPLO, M, N, 1025*1858f998SYi Kong $ ALPHA, LDA, LDB, BETA, LDC) 1026*1858f998SYi Kong INTEGER NOUT, NC, IORDER, M, N, LDA, LDB, LDC 1027*1858f998SYi Kong REAL ALPHA, BETA 1028*1858f998SYi Kong CHARACTER*1 SIDE, UPLO 1029*1858f998SYi Kong CHARACTER*12 SNAME 1030*1858f998SYi Kong CHARACTER*14 CRC, CS,CU 1031*1858f998SYi Kong 1032*1858f998SYi Kong IF (SIDE.EQ.'L')THEN 1033*1858f998SYi Kong CS = ' CblasLeft' 1034*1858f998SYi Kong ELSE 1035*1858f998SYi Kong CS = ' CblasRight' 1036*1858f998SYi Kong END IF 1037*1858f998SYi Kong IF (UPLO.EQ.'U')THEN 1038*1858f998SYi Kong CU = ' CblasUpper' 1039*1858f998SYi Kong ELSE 1040*1858f998SYi Kong CU = ' CblasLower' 1041*1858f998SYi Kong END IF 1042*1858f998SYi Kong IF (IORDER.EQ.1)THEN 1043*1858f998SYi Kong CRC = ' CblasRowMajor' 1044*1858f998SYi Kong ELSE 1045*1858f998SYi Kong CRC = ' CblasColMajor' 1046*1858f998SYi Kong END IF 1047*1858f998SYi Kong WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CS,CU 1048*1858f998SYi Kong WRITE(NOUT, FMT = 9994)M, N, ALPHA, LDA, LDB, BETA, LDC 1049*1858f998SYi Kong 1050*1858f998SYi Kong 9995 FORMAT( 1X, I6, ': ', A12,'(', A14, ',', A14, ',', A14, ',') 1051*1858f998SYi Kong 9994 FORMAT( 20X, 2( I3, ',' ), F4.1, ', A,', I3, ', B,', I3, ',', 1052*1858f998SYi Kong $ F4.1, ', ', 'C,', I3, ').' ) 1053*1858f998SYi Kong END 1054*1858f998SYi Kong* 1055*1858f998SYi Kong SUBROUTINE SCHK3( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, 1056*1858f998SYi Kong $ FATAL, NIDIM, IDIM, NALF, ALF, NMAX, A, AA, AS, 1057*1858f998SYi Kong $ B, BB, BS, CT, G, C, IORDER ) 1058*1858f998SYi Kong* 1059*1858f998SYi Kong* Tests STRMM and STRSM. 1060*1858f998SYi Kong* 1061*1858f998SYi Kong* Auxiliary routine for test program for Level 3 Blas. 1062*1858f998SYi Kong* 1063*1858f998SYi Kong* -- Written on 8-February-1989. 1064*1858f998SYi Kong* Jack Dongarra, Argonne National Laboratory. 1065*1858f998SYi Kong* Iain Duff, AERE Harwell. 1066*1858f998SYi Kong* Jeremy Du Croz, Numerical Algorithms Group Ltd. 1067*1858f998SYi Kong* Sven Hammarling, Numerical Algorithms Group Ltd. 1068*1858f998SYi Kong* 1069*1858f998SYi Kong* .. Parameters .. 1070*1858f998SYi Kong REAL ZERO, ONE 1071*1858f998SYi Kong PARAMETER ( ZERO = 0.0, ONE = 1.0 ) 1072*1858f998SYi Kong* .. Scalar Arguments .. 1073*1858f998SYi Kong REAL EPS, THRESH 1074*1858f998SYi Kong INTEGER NALF, NIDIM, NMAX, NOUT, NTRA, IORDER 1075*1858f998SYi Kong LOGICAL FATAL, REWI, TRACE 1076*1858f998SYi Kong CHARACTER*12 SNAME 1077*1858f998SYi Kong* .. Array Arguments .. 1078*1858f998SYi Kong REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), 1079*1858f998SYi Kong $ AS( NMAX*NMAX ), B( NMAX, NMAX ), 1080*1858f998SYi Kong $ BB( NMAX*NMAX ), BS( NMAX*NMAX ), 1081*1858f998SYi Kong $ C( NMAX, NMAX ), CT( NMAX ), G( NMAX ) 1082*1858f998SYi Kong INTEGER IDIM( NIDIM ) 1083*1858f998SYi Kong* .. Local Scalars .. 1084*1858f998SYi Kong REAL ALPHA, ALS, ERR, ERRMAX 1085*1858f998SYi Kong INTEGER I, IA, ICD, ICS, ICT, ICU, IM, IN, J, LAA, LBB, 1086*1858f998SYi Kong $ LDA, LDAS, LDB, LDBS, M, MS, N, NA, NARGS, NC, 1087*1858f998SYi Kong $ NS 1088*1858f998SYi Kong LOGICAL LEFT, NULL, RESET, SAME 1089*1858f998SYi Kong CHARACTER*1 DIAG, DIAGS, SIDE, SIDES, TRANAS, TRANSA, UPLO, 1090*1858f998SYi Kong $ UPLOS 1091*1858f998SYi Kong CHARACTER*2 ICHD, ICHS, ICHU 1092*1858f998SYi Kong CHARACTER*3 ICHT 1093*1858f998SYi Kong* .. Local Arrays .. 1094*1858f998SYi Kong LOGICAL ISAME( 13 ) 1095*1858f998SYi Kong* .. External Functions .. 1096*1858f998SYi Kong LOGICAL LSE, LSERES 1097*1858f998SYi Kong EXTERNAL LSE, LSERES 1098*1858f998SYi Kong* .. External Subroutines .. 1099*1858f998SYi Kong EXTERNAL SMAKE, SMMCH, CSTRMM, CSTRSM 1100*1858f998SYi Kong* .. Intrinsic Functions .. 1101*1858f998SYi Kong INTRINSIC MAX 1102*1858f998SYi Kong* .. Scalars in Common .. 1103*1858f998SYi Kong INTEGER INFOT, NOUTC 1104*1858f998SYi Kong LOGICAL OK 1105*1858f998SYi Kong* .. Common blocks .. 1106*1858f998SYi Kong COMMON /INFOC/INFOT, NOUTC, OK 1107*1858f998SYi Kong* .. Data statements .. 1108*1858f998SYi Kong DATA ICHU/'UL'/, ICHT/'NTC'/, ICHD/'UN'/, ICHS/'LR'/ 1109*1858f998SYi Kong* .. Executable Statements .. 1110*1858f998SYi Kong* 1111*1858f998SYi Kong NARGS = 11 1112*1858f998SYi Kong NC = 0 1113*1858f998SYi Kong RESET = .TRUE. 1114*1858f998SYi Kong ERRMAX = ZERO 1115*1858f998SYi Kong* Set up zero matrix for SMMCH. 1116*1858f998SYi Kong DO 20 J = 1, NMAX 1117*1858f998SYi Kong DO 10 I = 1, NMAX 1118*1858f998SYi Kong C( I, J ) = ZERO 1119*1858f998SYi Kong 10 CONTINUE 1120*1858f998SYi Kong 20 CONTINUE 1121*1858f998SYi Kong* 1122*1858f998SYi Kong DO 140 IM = 1, NIDIM 1123*1858f998SYi Kong M = IDIM( IM ) 1124*1858f998SYi Kong* 1125*1858f998SYi Kong DO 130 IN = 1, NIDIM 1126*1858f998SYi Kong N = IDIM( IN ) 1127*1858f998SYi Kong* Set LDB to 1 more than minimum value if room. 1128*1858f998SYi Kong LDB = M 1129*1858f998SYi Kong IF( LDB.LT.NMAX ) 1130*1858f998SYi Kong $ LDB = LDB + 1 1131*1858f998SYi Kong* Skip tests if not enough room. 1132*1858f998SYi Kong IF( LDB.GT.NMAX ) 1133*1858f998SYi Kong $ GO TO 130 1134*1858f998SYi Kong LBB = LDB*N 1135*1858f998SYi Kong NULL = M.LE.0.OR.N.LE.0 1136*1858f998SYi Kong* 1137*1858f998SYi Kong DO 120 ICS = 1, 2 1138*1858f998SYi Kong SIDE = ICHS( ICS: ICS ) 1139*1858f998SYi Kong LEFT = SIDE.EQ.'L' 1140*1858f998SYi Kong IF( LEFT )THEN 1141*1858f998SYi Kong NA = M 1142*1858f998SYi Kong ELSE 1143*1858f998SYi Kong NA = N 1144*1858f998SYi Kong END IF 1145*1858f998SYi Kong* Set LDA to 1 more than minimum value if room. 1146*1858f998SYi Kong LDA = NA 1147*1858f998SYi Kong IF( LDA.LT.NMAX ) 1148*1858f998SYi Kong $ LDA = LDA + 1 1149*1858f998SYi Kong* Skip tests if not enough room. 1150*1858f998SYi Kong IF( LDA.GT.NMAX ) 1151*1858f998SYi Kong $ GO TO 130 1152*1858f998SYi Kong LAA = LDA*NA 1153*1858f998SYi Kong* 1154*1858f998SYi Kong DO 110 ICU = 1, 2 1155*1858f998SYi Kong UPLO = ICHU( ICU: ICU ) 1156*1858f998SYi Kong* 1157*1858f998SYi Kong DO 100 ICT = 1, 3 1158*1858f998SYi Kong TRANSA = ICHT( ICT: ICT ) 1159*1858f998SYi Kong* 1160*1858f998SYi Kong DO 90 ICD = 1, 2 1161*1858f998SYi Kong DIAG = ICHD( ICD: ICD ) 1162*1858f998SYi Kong* 1163*1858f998SYi Kong DO 80 IA = 1, NALF 1164*1858f998SYi Kong ALPHA = ALF( IA ) 1165*1858f998SYi Kong* 1166*1858f998SYi Kong* Generate the matrix A. 1167*1858f998SYi Kong* 1168*1858f998SYi Kong CALL SMAKE( 'TR', UPLO, DIAG, NA, NA, A, 1169*1858f998SYi Kong $ NMAX, AA, LDA, RESET, ZERO ) 1170*1858f998SYi Kong* 1171*1858f998SYi Kong* Generate the matrix B. 1172*1858f998SYi Kong* 1173*1858f998SYi Kong CALL SMAKE( 'GE', ' ', ' ', M, N, B, NMAX, 1174*1858f998SYi Kong $ BB, LDB, RESET, ZERO ) 1175*1858f998SYi Kong* 1176*1858f998SYi Kong NC = NC + 1 1177*1858f998SYi Kong* 1178*1858f998SYi Kong* Save every datum before calling the 1179*1858f998SYi Kong* subroutine. 1180*1858f998SYi Kong* 1181*1858f998SYi Kong SIDES = SIDE 1182*1858f998SYi Kong UPLOS = UPLO 1183*1858f998SYi Kong TRANAS = TRANSA 1184*1858f998SYi Kong DIAGS = DIAG 1185*1858f998SYi Kong MS = M 1186*1858f998SYi Kong NS = N 1187*1858f998SYi Kong ALS = ALPHA 1188*1858f998SYi Kong DO 30 I = 1, LAA 1189*1858f998SYi Kong AS( I ) = AA( I ) 1190*1858f998SYi Kong 30 CONTINUE 1191*1858f998SYi Kong LDAS = LDA 1192*1858f998SYi Kong DO 40 I = 1, LBB 1193*1858f998SYi Kong BS( I ) = BB( I ) 1194*1858f998SYi Kong 40 CONTINUE 1195*1858f998SYi Kong LDBS = LDB 1196*1858f998SYi Kong* 1197*1858f998SYi Kong* Call the subroutine. 1198*1858f998SYi Kong* 1199*1858f998SYi Kong IF( SNAME( 10: 11 ).EQ.'mm' )THEN 1200*1858f998SYi Kong IF( TRACE ) 1201*1858f998SYi Kong $ CALL SPRCN3( NTRA, NC, SNAME, IORDER, 1202*1858f998SYi Kong $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, 1203*1858f998SYi Kong $ LDA, LDB) 1204*1858f998SYi Kong IF( REWI ) 1205*1858f998SYi Kong $ REWIND NTRA 1206*1858f998SYi Kong CALL CSTRMM( IORDER, SIDE, UPLO, TRANSA, 1207*1858f998SYi Kong $ DIAG, M, N, ALPHA, AA, LDA, 1208*1858f998SYi Kong $ BB, LDB ) 1209*1858f998SYi Kong ELSE IF( SNAME( 10: 11 ).EQ.'sm' )THEN 1210*1858f998SYi Kong IF( TRACE ) 1211*1858f998SYi Kong $ CALL SPRCN3( NTRA, NC, SNAME, IORDER, 1212*1858f998SYi Kong $ SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, 1213*1858f998SYi Kong $ LDA, LDB) 1214*1858f998SYi Kong IF( REWI ) 1215*1858f998SYi Kong $ REWIND NTRA 1216*1858f998SYi Kong CALL CSTRSM( IORDER, SIDE, UPLO, TRANSA, 1217*1858f998SYi Kong $ DIAG, M, N, ALPHA, AA, LDA, 1218*1858f998SYi Kong $ BB, LDB ) 1219*1858f998SYi Kong END IF 1220*1858f998SYi Kong* 1221*1858f998SYi Kong* Check if error-exit was taken incorrectly. 1222*1858f998SYi Kong* 1223*1858f998SYi Kong IF( .NOT.OK )THEN 1224*1858f998SYi Kong WRITE( NOUT, FMT = 9994 ) 1225*1858f998SYi Kong FATAL = .TRUE. 1226*1858f998SYi Kong GO TO 150 1227*1858f998SYi Kong END IF 1228*1858f998SYi Kong* 1229*1858f998SYi Kong* See what data changed inside subroutines. 1230*1858f998SYi Kong* 1231*1858f998SYi Kong ISAME( 1 ) = SIDES.EQ.SIDE 1232*1858f998SYi Kong ISAME( 2 ) = UPLOS.EQ.UPLO 1233*1858f998SYi Kong ISAME( 3 ) = TRANAS.EQ.TRANSA 1234*1858f998SYi Kong ISAME( 4 ) = DIAGS.EQ.DIAG 1235*1858f998SYi Kong ISAME( 5 ) = MS.EQ.M 1236*1858f998SYi Kong ISAME( 6 ) = NS.EQ.N 1237*1858f998SYi Kong ISAME( 7 ) = ALS.EQ.ALPHA 1238*1858f998SYi Kong ISAME( 8 ) = LSE( AS, AA, LAA ) 1239*1858f998SYi Kong ISAME( 9 ) = LDAS.EQ.LDA 1240*1858f998SYi Kong IF( NULL )THEN 1241*1858f998SYi Kong ISAME( 10 ) = LSE( BS, BB, LBB ) 1242*1858f998SYi Kong ELSE 1243*1858f998SYi Kong ISAME( 10 ) = LSERES( 'GE', ' ', M, N, BS, 1244*1858f998SYi Kong $ BB, LDB ) 1245*1858f998SYi Kong END IF 1246*1858f998SYi Kong ISAME( 11 ) = LDBS.EQ.LDB 1247*1858f998SYi Kong* 1248*1858f998SYi Kong* If data was incorrectly changed, report and 1249*1858f998SYi Kong* return. 1250*1858f998SYi Kong* 1251*1858f998SYi Kong SAME = .TRUE. 1252*1858f998SYi Kong DO 50 I = 1, NARGS 1253*1858f998SYi Kong SAME = SAME.AND.ISAME( I ) 1254*1858f998SYi Kong IF( .NOT.ISAME( I ) ) 1255*1858f998SYi Kong $ WRITE( NOUT, FMT = 9998 )I+1 1256*1858f998SYi Kong 50 CONTINUE 1257*1858f998SYi Kong IF( .NOT.SAME )THEN 1258*1858f998SYi Kong FATAL = .TRUE. 1259*1858f998SYi Kong GO TO 150 1260*1858f998SYi Kong END IF 1261*1858f998SYi Kong* 1262*1858f998SYi Kong IF( .NOT.NULL )THEN 1263*1858f998SYi Kong IF( SNAME( 10: 11 ).EQ.'mm' )THEN 1264*1858f998SYi Kong* 1265*1858f998SYi Kong* Check the result. 1266*1858f998SYi Kong* 1267*1858f998SYi Kong IF( LEFT )THEN 1268*1858f998SYi Kong CALL SMMCH( TRANSA, 'N', M, N, M, 1269*1858f998SYi Kong $ ALPHA, A, NMAX, B, NMAX, 1270*1858f998SYi Kong $ ZERO, C, NMAX, CT, G, 1271*1858f998SYi Kong $ BB, LDB, EPS, ERR, 1272*1858f998SYi Kong $ FATAL, NOUT, .TRUE. ) 1273*1858f998SYi Kong ELSE 1274*1858f998SYi Kong CALL SMMCH( 'N', TRANSA, M, N, N, 1275*1858f998SYi Kong $ ALPHA, B, NMAX, A, NMAX, 1276*1858f998SYi Kong $ ZERO, C, NMAX, CT, G, 1277*1858f998SYi Kong $ BB, LDB, EPS, ERR, 1278*1858f998SYi Kong $ FATAL, NOUT, .TRUE. ) 1279*1858f998SYi Kong END IF 1280*1858f998SYi Kong ELSE IF( SNAME( 10: 11 ).EQ.'sm' )THEN 1281*1858f998SYi Kong* 1282*1858f998SYi Kong* Compute approximation to original 1283*1858f998SYi Kong* matrix. 1284*1858f998SYi Kong* 1285*1858f998SYi Kong DO 70 J = 1, N 1286*1858f998SYi Kong DO 60 I = 1, M 1287*1858f998SYi Kong C( I, J ) = BB( I + ( J - 1 )* 1288*1858f998SYi Kong $ LDB ) 1289*1858f998SYi Kong BB( I + ( J - 1 )*LDB ) = ALPHA* 1290*1858f998SYi Kong $ B( I, J ) 1291*1858f998SYi Kong 60 CONTINUE 1292*1858f998SYi Kong 70 CONTINUE 1293*1858f998SYi Kong* 1294*1858f998SYi Kong IF( LEFT )THEN 1295*1858f998SYi Kong CALL SMMCH( TRANSA, 'N', M, N, M, 1296*1858f998SYi Kong $ ONE, A, NMAX, C, NMAX, 1297*1858f998SYi Kong $ ZERO, B, NMAX, CT, G, 1298*1858f998SYi Kong $ BB, LDB, EPS, ERR, 1299*1858f998SYi Kong $ FATAL, NOUT, .FALSE. ) 1300*1858f998SYi Kong ELSE 1301*1858f998SYi Kong CALL SMMCH( 'N', TRANSA, M, N, N, 1302*1858f998SYi Kong $ ONE, C, NMAX, A, NMAX, 1303*1858f998SYi Kong $ ZERO, B, NMAX, CT, G, 1304*1858f998SYi Kong $ BB, LDB, EPS, ERR, 1305*1858f998SYi Kong $ FATAL, NOUT, .FALSE. ) 1306*1858f998SYi Kong END IF 1307*1858f998SYi Kong END IF 1308*1858f998SYi Kong ERRMAX = MAX( ERRMAX, ERR ) 1309*1858f998SYi Kong* If got really bad answer, report and 1310*1858f998SYi Kong* return. 1311*1858f998SYi Kong IF( FATAL ) 1312*1858f998SYi Kong $ GO TO 150 1313*1858f998SYi Kong END IF 1314*1858f998SYi Kong* 1315*1858f998SYi Kong 80 CONTINUE 1316*1858f998SYi Kong* 1317*1858f998SYi Kong 90 CONTINUE 1318*1858f998SYi Kong* 1319*1858f998SYi Kong 100 CONTINUE 1320*1858f998SYi Kong* 1321*1858f998SYi Kong 110 CONTINUE 1322*1858f998SYi Kong* 1323*1858f998SYi Kong 120 CONTINUE 1324*1858f998SYi Kong* 1325*1858f998SYi Kong 130 CONTINUE 1326*1858f998SYi Kong* 1327*1858f998SYi Kong 140 CONTINUE 1328*1858f998SYi Kong* 1329*1858f998SYi Kong* Report result. 1330*1858f998SYi Kong* 1331*1858f998SYi Kong IF( ERRMAX.LT.THRESH )THEN 1332*1858f998SYi Kong IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC 1333*1858f998SYi Kong IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC 1334*1858f998SYi Kong ELSE 1335*1858f998SYi Kong IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX 1336*1858f998SYi Kong IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX 1337*1858f998SYi Kong END IF 1338*1858f998SYi Kong GO TO 160 1339*1858f998SYi Kong* 1340*1858f998SYi Kong 150 CONTINUE 1341*1858f998SYi Kong WRITE( NOUT, FMT = 9996 )SNAME 1342*1858f998SYi Kong CALL SPRCN3( NTRA, NC, SNAME, IORDER, SIDE, UPLO, TRANSA, DIAG, 1343*1858f998SYi Kong $ M, N, ALPHA, LDA, LDB) 1344*1858f998SYi Kong* 1345*1858f998SYi Kong 160 CONTINUE 1346*1858f998SYi Kong RETURN 1347*1858f998SYi Kong* 1348*1858f998SYi Kong10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ', 1349*1858f998SYi Kong $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ', 1350*1858f998SYi Kong $ 'RATIO ', F8.2, ' - SUSPECT *******' ) 1351*1858f998SYi Kong10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ', 1352*1858f998SYi Kong $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ', 1353*1858f998SYi Kong $ 'RATIO ', F8.2, ' - SUSPECT *******' ) 1354*1858f998SYi Kong10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS', 1355*1858f998SYi Kong $ ' (', I6, ' CALL', 'S)' ) 1356*1858f998SYi Kong10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS', 1357*1858f998SYi Kong $ ' (', I6, ' CALL', 'S)' ) 1358*1858f998SYi Kong 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', 1359*1858f998SYi Kong $ 'ANGED INCORRECTLY *******' ) 1360*1858f998SYi Kong 9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' ) 1361*1858f998SYi Kong 9995 FORMAT( 1X, I6, ': ', A12,'(', 4( '''', A1, ''',' ), 2( I3, ',' ), 1362*1858f998SYi Kong $ F4.1, ', A,', I3, ', B,', I3, ') .' ) 1363*1858f998SYi Kong 9994 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', 1364*1858f998SYi Kong $ '******' ) 1365*1858f998SYi Kong* 1366*1858f998SYi Kong* End of SCHK3. 1367*1858f998SYi Kong* 1368*1858f998SYi Kong END 1369*1858f998SYi Kong* 1370*1858f998SYi Kong SUBROUTINE SPRCN3(NOUT, NC, SNAME, IORDER, SIDE, UPLO, TRANSA, 1371*1858f998SYi Kong $ DIAG, M, N, ALPHA, LDA, LDB) 1372*1858f998SYi Kong INTEGER NOUT, NC, IORDER, M, N, LDA, LDB 1373*1858f998SYi Kong REAL ALPHA 1374*1858f998SYi Kong CHARACTER*1 SIDE, UPLO, TRANSA, DIAG 1375*1858f998SYi Kong CHARACTER*12 SNAME 1376*1858f998SYi Kong CHARACTER*14 CRC, CS, CU, CA, CD 1377*1858f998SYi Kong 1378*1858f998SYi Kong IF (SIDE.EQ.'L')THEN 1379*1858f998SYi Kong CS = ' CblasLeft' 1380*1858f998SYi Kong ELSE 1381*1858f998SYi Kong CS = ' CblasRight' 1382*1858f998SYi Kong END IF 1383*1858f998SYi Kong IF (UPLO.EQ.'U')THEN 1384*1858f998SYi Kong CU = ' CblasUpper' 1385*1858f998SYi Kong ELSE 1386*1858f998SYi Kong CU = ' CblasLower' 1387*1858f998SYi Kong END IF 1388*1858f998SYi Kong IF (TRANSA.EQ.'N')THEN 1389*1858f998SYi Kong CA = ' CblasNoTrans' 1390*1858f998SYi Kong ELSE IF (TRANSA.EQ.'T')THEN 1391*1858f998SYi Kong CA = ' CblasTrans' 1392*1858f998SYi Kong ELSE 1393*1858f998SYi Kong CA = 'CblasConjTrans' 1394*1858f998SYi Kong END IF 1395*1858f998SYi Kong IF (DIAG.EQ.'N')THEN 1396*1858f998SYi Kong CD = ' CblasNonUnit' 1397*1858f998SYi Kong ELSE 1398*1858f998SYi Kong CD = ' CblasUnit' 1399*1858f998SYi Kong END IF 1400*1858f998SYi Kong IF (IORDER.EQ.1)THEN 1401*1858f998SYi Kong CRC = 'CblasRowMajor' 1402*1858f998SYi Kong ELSE 1403*1858f998SYi Kong CRC = 'CblasColMajor' 1404*1858f998SYi Kong END IF 1405*1858f998SYi Kong WRITE(NOUT, FMT = 9995)NC,SNAME,CRC, CS,CU 1406*1858f998SYi Kong WRITE(NOUT, FMT = 9994)CA, CD, M, N, ALPHA, LDA, LDB 1407*1858f998SYi Kong 1408*1858f998SYi Kong 9995 FORMAT( 1X, I6, ': ', A12,'(', A14, ',', A14, ',', A14, ',') 1409*1858f998SYi Kong 9994 FORMAT( 22X, 2( A14, ',') , 2( I3, ',' ), 1410*1858f998SYi Kong $ F4.1, ', A,', I3, ', B,', I3, ').' ) 1411*1858f998SYi Kong END 1412*1858f998SYi Kong* 1413*1858f998SYi Kong SUBROUTINE SCHK4( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, 1414*1858f998SYi Kong $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, 1415*1858f998SYi Kong $ A, AA, AS, B, BB, BS, C, CC, CS, CT, G, 1416*1858f998SYi Kong $ IORDER ) 1417*1858f998SYi Kong* 1418*1858f998SYi Kong* Tests SSYRK. 1419*1858f998SYi Kong* 1420*1858f998SYi Kong* Auxiliary routine for test program for Level 3 Blas. 1421*1858f998SYi Kong* 1422*1858f998SYi Kong* -- Written on 8-February-1989. 1423*1858f998SYi Kong* Jack Dongarra, Argonne National Laboratory. 1424*1858f998SYi Kong* Iain Duff, AERE Harwell. 1425*1858f998SYi Kong* Jeremy Du Croz, Numerical Algorithms Group Ltd. 1426*1858f998SYi Kong* Sven Hammarling, Numerical Algorithms Group Ltd. 1427*1858f998SYi Kong* 1428*1858f998SYi Kong* .. Parameters .. 1429*1858f998SYi Kong REAL ZERO 1430*1858f998SYi Kong PARAMETER ( ZERO = 0.0 ) 1431*1858f998SYi Kong* .. Scalar Arguments .. 1432*1858f998SYi Kong REAL EPS, THRESH 1433*1858f998SYi Kong INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER 1434*1858f998SYi Kong LOGICAL FATAL, REWI, TRACE 1435*1858f998SYi Kong CHARACTER*12 SNAME 1436*1858f998SYi Kong* .. Array Arguments .. 1437*1858f998SYi Kong REAL A( NMAX, NMAX ), AA( NMAX*NMAX ), ALF( NALF ), 1438*1858f998SYi Kong $ AS( NMAX*NMAX ), B( NMAX, NMAX ), 1439*1858f998SYi Kong $ BB( NMAX*NMAX ), BET( NBET ), BS( NMAX*NMAX ), 1440*1858f998SYi Kong $ C( NMAX, NMAX ), CC( NMAX*NMAX ), 1441*1858f998SYi Kong $ CS( NMAX*NMAX ), CT( NMAX ), G( NMAX ) 1442*1858f998SYi Kong INTEGER IDIM( NIDIM ) 1443*1858f998SYi Kong* .. Local Scalars .. 1444*1858f998SYi Kong REAL ALPHA, ALS, BETA, BETS, ERR, ERRMAX 1445*1858f998SYi Kong INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, K, KS, 1446*1858f998SYi Kong $ LAA, LCC, LDA, LDAS, LDC, LDCS, LJ, MA, N, NA, 1447*1858f998SYi Kong $ NARGS, NC, NS 1448*1858f998SYi Kong LOGICAL NULL, RESET, SAME, TRAN, UPPER 1449*1858f998SYi Kong CHARACTER*1 TRANS, TRANSS, UPLO, UPLOS 1450*1858f998SYi Kong CHARACTER*2 ICHU 1451*1858f998SYi Kong CHARACTER*3 ICHT 1452*1858f998SYi Kong* .. Local Arrays .. 1453*1858f998SYi Kong LOGICAL ISAME( 13 ) 1454*1858f998SYi Kong* .. External Functions .. 1455*1858f998SYi Kong LOGICAL LSE, LSERES 1456*1858f998SYi Kong EXTERNAL LSE, LSERES 1457*1858f998SYi Kong* .. External Subroutines .. 1458*1858f998SYi Kong EXTERNAL SMAKE, SMMCH, CSSYRK 1459*1858f998SYi Kong* .. Intrinsic Functions .. 1460*1858f998SYi Kong INTRINSIC MAX 1461*1858f998SYi Kong* .. Scalars in Common .. 1462*1858f998SYi Kong INTEGER INFOT, NOUTC 1463*1858f998SYi Kong LOGICAL OK 1464*1858f998SYi Kong* .. Common blocks .. 1465*1858f998SYi Kong COMMON /INFOC/INFOT, NOUTC, OK 1466*1858f998SYi Kong* .. Data statements .. 1467*1858f998SYi Kong DATA ICHT/'NTC'/, ICHU/'UL'/ 1468*1858f998SYi Kong* .. Executable Statements .. 1469*1858f998SYi Kong* 1470*1858f998SYi Kong NARGS = 10 1471*1858f998SYi Kong NC = 0 1472*1858f998SYi Kong RESET = .TRUE. 1473*1858f998SYi Kong ERRMAX = ZERO 1474*1858f998SYi Kong* 1475*1858f998SYi Kong DO 100 IN = 1, NIDIM 1476*1858f998SYi Kong N = IDIM( IN ) 1477*1858f998SYi Kong* Set LDC to 1 more than minimum value if room. 1478*1858f998SYi Kong LDC = N 1479*1858f998SYi Kong IF( LDC.LT.NMAX ) 1480*1858f998SYi Kong $ LDC = LDC + 1 1481*1858f998SYi Kong* Skip tests if not enough room. 1482*1858f998SYi Kong IF( LDC.GT.NMAX ) 1483*1858f998SYi Kong $ GO TO 100 1484*1858f998SYi Kong LCC = LDC*N 1485*1858f998SYi Kong NULL = N.LE.0 1486*1858f998SYi Kong* 1487*1858f998SYi Kong DO 90 IK = 1, NIDIM 1488*1858f998SYi Kong K = IDIM( IK ) 1489*1858f998SYi Kong* 1490*1858f998SYi Kong DO 80 ICT = 1, 3 1491*1858f998SYi Kong TRANS = ICHT( ICT: ICT ) 1492*1858f998SYi Kong TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C' 1493*1858f998SYi Kong IF( TRAN )THEN 1494*1858f998SYi Kong MA = K 1495*1858f998SYi Kong NA = N 1496*1858f998SYi Kong ELSE 1497*1858f998SYi Kong MA = N 1498*1858f998SYi Kong NA = K 1499*1858f998SYi Kong END IF 1500*1858f998SYi Kong* Set LDA to 1 more than minimum value if room. 1501*1858f998SYi Kong LDA = MA 1502*1858f998SYi Kong IF( LDA.LT.NMAX ) 1503*1858f998SYi Kong $ LDA = LDA + 1 1504*1858f998SYi Kong* Skip tests if not enough room. 1505*1858f998SYi Kong IF( LDA.GT.NMAX ) 1506*1858f998SYi Kong $ GO TO 80 1507*1858f998SYi Kong LAA = LDA*NA 1508*1858f998SYi Kong* 1509*1858f998SYi Kong* Generate the matrix A. 1510*1858f998SYi Kong* 1511*1858f998SYi Kong CALL SMAKE( 'GE', ' ', ' ', MA, NA, A, NMAX, AA, LDA, 1512*1858f998SYi Kong $ RESET, ZERO ) 1513*1858f998SYi Kong* 1514*1858f998SYi Kong DO 70 ICU = 1, 2 1515*1858f998SYi Kong UPLO = ICHU( ICU: ICU ) 1516*1858f998SYi Kong UPPER = UPLO.EQ.'U' 1517*1858f998SYi Kong* 1518*1858f998SYi Kong DO 60 IA = 1, NALF 1519*1858f998SYi Kong ALPHA = ALF( IA ) 1520*1858f998SYi Kong* 1521*1858f998SYi Kong DO 50 IB = 1, NBET 1522*1858f998SYi Kong BETA = BET( IB ) 1523*1858f998SYi Kong* 1524*1858f998SYi Kong* Generate the matrix C. 1525*1858f998SYi Kong* 1526*1858f998SYi Kong CALL SMAKE( 'SY', UPLO, ' ', N, N, C, NMAX, CC, 1527*1858f998SYi Kong $ LDC, RESET, ZERO ) 1528*1858f998SYi Kong* 1529*1858f998SYi Kong NC = NC + 1 1530*1858f998SYi Kong* 1531*1858f998SYi Kong* Save every datum before calling the subroutine. 1532*1858f998SYi Kong* 1533*1858f998SYi Kong UPLOS = UPLO 1534*1858f998SYi Kong TRANSS = TRANS 1535*1858f998SYi Kong NS = N 1536*1858f998SYi Kong KS = K 1537*1858f998SYi Kong ALS = ALPHA 1538*1858f998SYi Kong DO 10 I = 1, LAA 1539*1858f998SYi Kong AS( I ) = AA( I ) 1540*1858f998SYi Kong 10 CONTINUE 1541*1858f998SYi Kong LDAS = LDA 1542*1858f998SYi Kong BETS = BETA 1543*1858f998SYi Kong DO 20 I = 1, LCC 1544*1858f998SYi Kong CS( I ) = CC( I ) 1545*1858f998SYi Kong 20 CONTINUE 1546*1858f998SYi Kong LDCS = LDC 1547*1858f998SYi Kong* 1548*1858f998SYi Kong* Call the subroutine. 1549*1858f998SYi Kong* 1550*1858f998SYi Kong IF( TRACE ) 1551*1858f998SYi Kong $ CALL SPRCN4( NTRA, NC, SNAME, IORDER, UPLO, 1552*1858f998SYi Kong $ TRANS, N, K, ALPHA, LDA, BETA, LDC) 1553*1858f998SYi Kong IF( REWI ) 1554*1858f998SYi Kong $ REWIND NTRA 1555*1858f998SYi Kong CALL CSSYRK( IORDER, UPLO, TRANS, N, K, ALPHA, 1556*1858f998SYi Kong $ AA, LDA, BETA, CC, LDC ) 1557*1858f998SYi Kong* 1558*1858f998SYi Kong* Check if error-exit was taken incorrectly. 1559*1858f998SYi Kong* 1560*1858f998SYi Kong IF( .NOT.OK )THEN 1561*1858f998SYi Kong WRITE( NOUT, FMT = 9993 ) 1562*1858f998SYi Kong FATAL = .TRUE. 1563*1858f998SYi Kong GO TO 120 1564*1858f998SYi Kong END IF 1565*1858f998SYi Kong* 1566*1858f998SYi Kong* See what data changed inside subroutines. 1567*1858f998SYi Kong* 1568*1858f998SYi Kong ISAME( 1 ) = UPLOS.EQ.UPLO 1569*1858f998SYi Kong ISAME( 2 ) = TRANSS.EQ.TRANS 1570*1858f998SYi Kong ISAME( 3 ) = NS.EQ.N 1571*1858f998SYi Kong ISAME( 4 ) = KS.EQ.K 1572*1858f998SYi Kong ISAME( 5 ) = ALS.EQ.ALPHA 1573*1858f998SYi Kong ISAME( 6 ) = LSE( AS, AA, LAA ) 1574*1858f998SYi Kong ISAME( 7 ) = LDAS.EQ.LDA 1575*1858f998SYi Kong ISAME( 8 ) = BETS.EQ.BETA 1576*1858f998SYi Kong IF( NULL )THEN 1577*1858f998SYi Kong ISAME( 9 ) = LSE( CS, CC, LCC ) 1578*1858f998SYi Kong ELSE 1579*1858f998SYi Kong ISAME( 9 ) = LSERES( 'SY', UPLO, N, N, CS, 1580*1858f998SYi Kong $ CC, LDC ) 1581*1858f998SYi Kong END IF 1582*1858f998SYi Kong ISAME( 10 ) = LDCS.EQ.LDC 1583*1858f998SYi Kong* 1584*1858f998SYi Kong* If data was incorrectly changed, report and 1585*1858f998SYi Kong* return. 1586*1858f998SYi Kong* 1587*1858f998SYi Kong SAME = .TRUE. 1588*1858f998SYi Kong DO 30 I = 1, NARGS 1589*1858f998SYi Kong SAME = SAME.AND.ISAME( I ) 1590*1858f998SYi Kong IF( .NOT.ISAME( I ) ) 1591*1858f998SYi Kong $ WRITE( NOUT, FMT = 9998 )I+1 1592*1858f998SYi Kong 30 CONTINUE 1593*1858f998SYi Kong IF( .NOT.SAME )THEN 1594*1858f998SYi Kong FATAL = .TRUE. 1595*1858f998SYi Kong GO TO 120 1596*1858f998SYi Kong END IF 1597*1858f998SYi Kong* 1598*1858f998SYi Kong IF( .NOT.NULL )THEN 1599*1858f998SYi Kong* 1600*1858f998SYi Kong* Check the result column by column. 1601*1858f998SYi Kong* 1602*1858f998SYi Kong JC = 1 1603*1858f998SYi Kong DO 40 J = 1, N 1604*1858f998SYi Kong IF( UPPER )THEN 1605*1858f998SYi Kong JJ = 1 1606*1858f998SYi Kong LJ = J 1607*1858f998SYi Kong ELSE 1608*1858f998SYi Kong JJ = J 1609*1858f998SYi Kong LJ = N - J + 1 1610*1858f998SYi Kong END IF 1611*1858f998SYi Kong IF( TRAN )THEN 1612*1858f998SYi Kong CALL SMMCH( 'T', 'N', LJ, 1, K, ALPHA, 1613*1858f998SYi Kong $ A( 1, JJ ), NMAX, 1614*1858f998SYi Kong $ A( 1, J ), NMAX, BETA, 1615*1858f998SYi Kong $ C( JJ, J ), NMAX, CT, G, 1616*1858f998SYi Kong $ CC( JC ), LDC, EPS, ERR, 1617*1858f998SYi Kong $ FATAL, NOUT, .TRUE. ) 1618*1858f998SYi Kong ELSE 1619*1858f998SYi Kong CALL SMMCH( 'N', 'T', LJ, 1, K, ALPHA, 1620*1858f998SYi Kong $ A( JJ, 1 ), NMAX, 1621*1858f998SYi Kong $ A( J, 1 ), NMAX, BETA, 1622*1858f998SYi Kong $ C( JJ, J ), NMAX, CT, G, 1623*1858f998SYi Kong $ CC( JC ), LDC, EPS, ERR, 1624*1858f998SYi Kong $ FATAL, NOUT, .TRUE. ) 1625*1858f998SYi Kong END IF 1626*1858f998SYi Kong IF( UPPER )THEN 1627*1858f998SYi Kong JC = JC + LDC 1628*1858f998SYi Kong ELSE 1629*1858f998SYi Kong JC = JC + LDC + 1 1630*1858f998SYi Kong END IF 1631*1858f998SYi Kong ERRMAX = MAX( ERRMAX, ERR ) 1632*1858f998SYi Kong* If got really bad answer, report and 1633*1858f998SYi Kong* return. 1634*1858f998SYi Kong IF( FATAL ) 1635*1858f998SYi Kong $ GO TO 110 1636*1858f998SYi Kong 40 CONTINUE 1637*1858f998SYi Kong END IF 1638*1858f998SYi Kong* 1639*1858f998SYi Kong 50 CONTINUE 1640*1858f998SYi Kong* 1641*1858f998SYi Kong 60 CONTINUE 1642*1858f998SYi Kong* 1643*1858f998SYi Kong 70 CONTINUE 1644*1858f998SYi Kong* 1645*1858f998SYi Kong 80 CONTINUE 1646*1858f998SYi Kong* 1647*1858f998SYi Kong 90 CONTINUE 1648*1858f998SYi Kong* 1649*1858f998SYi Kong 100 CONTINUE 1650*1858f998SYi Kong* 1651*1858f998SYi Kong* Report result. 1652*1858f998SYi Kong* 1653*1858f998SYi Kong IF( ERRMAX.LT.THRESH )THEN 1654*1858f998SYi Kong IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC 1655*1858f998SYi Kong IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC 1656*1858f998SYi Kong ELSE 1657*1858f998SYi Kong IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX 1658*1858f998SYi Kong IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX 1659*1858f998SYi Kong END IF 1660*1858f998SYi Kong GO TO 130 1661*1858f998SYi Kong* 1662*1858f998SYi Kong 110 CONTINUE 1663*1858f998SYi Kong IF( N.GT.1 ) 1664*1858f998SYi Kong $ WRITE( NOUT, FMT = 9995 )J 1665*1858f998SYi Kong* 1666*1858f998SYi Kong 120 CONTINUE 1667*1858f998SYi Kong WRITE( NOUT, FMT = 9996 )SNAME 1668*1858f998SYi Kong CALL SPRCN4( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K, ALPHA, 1669*1858f998SYi Kong $ LDA, BETA, LDC) 1670*1858f998SYi Kong* 1671*1858f998SYi Kong 130 CONTINUE 1672*1858f998SYi Kong RETURN 1673*1858f998SYi Kong* 1674*1858f998SYi Kong10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ', 1675*1858f998SYi Kong $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ', 1676*1858f998SYi Kong $ 'RATIO ', F8.2, ' - SUSPECT *******' ) 1677*1858f998SYi Kong10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ', 1678*1858f998SYi Kong $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ', 1679*1858f998SYi Kong $ 'RATIO ', F8.2, ' - SUSPECT *******' ) 1680*1858f998SYi Kong10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS', 1681*1858f998SYi Kong $ ' (', I6, ' CALL', 'S)' ) 1682*1858f998SYi Kong10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS', 1683*1858f998SYi Kong $ ' (', I6, ' CALL', 'S)' ) 1684*1858f998SYi Kong 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', 1685*1858f998SYi Kong $ 'ANGED INCORRECTLY *******' ) 1686*1858f998SYi Kong 9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' ) 1687*1858f998SYi Kong 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) 1688*1858f998SYi Kong 9994 FORMAT( 1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ), 1689*1858f998SYi Kong $ F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ') .' ) 1690*1858f998SYi Kong 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', 1691*1858f998SYi Kong $ '******' ) 1692*1858f998SYi Kong* 1693*1858f998SYi Kong* End of SCHK4. 1694*1858f998SYi Kong* 1695*1858f998SYi Kong END 1696*1858f998SYi Kong* 1697*1858f998SYi Kong SUBROUTINE SPRCN4(NOUT, NC, SNAME, IORDER, UPLO, TRANSA, 1698*1858f998SYi Kong $ N, K, ALPHA, LDA, BETA, LDC) 1699*1858f998SYi Kong INTEGER NOUT, NC, IORDER, N, K, LDA, LDC 1700*1858f998SYi Kong REAL ALPHA, BETA 1701*1858f998SYi Kong CHARACTER*1 UPLO, TRANSA 1702*1858f998SYi Kong CHARACTER*12 SNAME 1703*1858f998SYi Kong CHARACTER*14 CRC, CU, CA 1704*1858f998SYi Kong 1705*1858f998SYi Kong IF (UPLO.EQ.'U')THEN 1706*1858f998SYi Kong CU = ' CblasUpper' 1707*1858f998SYi Kong ELSE 1708*1858f998SYi Kong CU = ' CblasLower' 1709*1858f998SYi Kong END IF 1710*1858f998SYi Kong IF (TRANSA.EQ.'N')THEN 1711*1858f998SYi Kong CA = ' CblasNoTrans' 1712*1858f998SYi Kong ELSE IF (TRANSA.EQ.'T')THEN 1713*1858f998SYi Kong CA = ' CblasTrans' 1714*1858f998SYi Kong ELSE 1715*1858f998SYi Kong CA = 'CblasConjTrans' 1716*1858f998SYi Kong END IF 1717*1858f998SYi Kong IF (IORDER.EQ.1)THEN 1718*1858f998SYi Kong CRC = ' CblasRowMajor' 1719*1858f998SYi Kong ELSE 1720*1858f998SYi Kong CRC = ' CblasColMajor' 1721*1858f998SYi Kong END IF 1722*1858f998SYi Kong WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA 1723*1858f998SYi Kong WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, BETA, LDC 1724*1858f998SYi Kong 1725*1858f998SYi Kong 9995 FORMAT( 1X, I6, ': ', A12,'(', 3( A14, ',') ) 1726*1858f998SYi Kong 9994 FORMAT( 20X, 2( I3, ',' ), 1727*1858f998SYi Kong $ F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ').' ) 1728*1858f998SYi Kong END 1729*1858f998SYi Kong* 1730*1858f998SYi Kong SUBROUTINE SCHK5( SNAME, EPS, THRESH, NOUT, NTRA, TRACE, REWI, 1731*1858f998SYi Kong $ FATAL, NIDIM, IDIM, NALF, ALF, NBET, BET, NMAX, 1732*1858f998SYi Kong $ AB, AA, AS, BB, BS, C, CC, CS, CT, G, W, 1733*1858f998SYi Kong $ IORDER ) 1734*1858f998SYi Kong* 1735*1858f998SYi Kong* Tests SSYR2K. 1736*1858f998SYi Kong* 1737*1858f998SYi Kong* Auxiliary routine for test program for Level 3 Blas. 1738*1858f998SYi Kong* 1739*1858f998SYi Kong* -- Written on 8-February-1989. 1740*1858f998SYi Kong* Jack Dongarra, Argonne National Laboratory. 1741*1858f998SYi Kong* Iain Duff, AERE Harwell. 1742*1858f998SYi Kong* Jeremy Du Croz, Numerical Algorithms Group Ltd. 1743*1858f998SYi Kong* Sven Hammarling, Numerical Algorithms Group Ltd. 1744*1858f998SYi Kong* 1745*1858f998SYi Kong* .. Parameters .. 1746*1858f998SYi Kong REAL ZERO 1747*1858f998SYi Kong PARAMETER ( ZERO = 0.0 ) 1748*1858f998SYi Kong* .. Scalar Arguments .. 1749*1858f998SYi Kong REAL EPS, THRESH 1750*1858f998SYi Kong INTEGER NALF, NBET, NIDIM, NMAX, NOUT, NTRA, IORDER 1751*1858f998SYi Kong LOGICAL FATAL, REWI, TRACE 1752*1858f998SYi Kong CHARACTER*12 SNAME 1753*1858f998SYi Kong* .. Array Arguments .. 1754*1858f998SYi Kong REAL AA( NMAX*NMAX ), AB( 2*NMAX*NMAX ), 1755*1858f998SYi Kong $ ALF( NALF ), AS( NMAX*NMAX ), BB( NMAX*NMAX ), 1756*1858f998SYi Kong $ BET( NBET ), BS( NMAX*NMAX ), C( NMAX, NMAX ), 1757*1858f998SYi Kong $ CC( NMAX*NMAX ), CS( NMAX*NMAX ), CT( NMAX ), 1758*1858f998SYi Kong $ G( NMAX ), W( 2*NMAX ) 1759*1858f998SYi Kong INTEGER IDIM( NIDIM ) 1760*1858f998SYi Kong* .. Local Scalars .. 1761*1858f998SYi Kong REAL ALPHA, ALS, BETA, BETS, ERR, ERRMAX 1762*1858f998SYi Kong INTEGER I, IA, IB, ICT, ICU, IK, IN, J, JC, JJ, JJAB, 1763*1858f998SYi Kong $ K, KS, LAA, LBB, LCC, LDA, LDAS, LDB, LDBS, 1764*1858f998SYi Kong $ LDC, LDCS, LJ, MA, N, NA, NARGS, NC, NS 1765*1858f998SYi Kong LOGICAL NULL, RESET, SAME, TRAN, UPPER 1766*1858f998SYi Kong CHARACTER*1 TRANS, TRANSS, UPLO, UPLOS 1767*1858f998SYi Kong CHARACTER*2 ICHU 1768*1858f998SYi Kong CHARACTER*3 ICHT 1769*1858f998SYi Kong* .. Local Arrays .. 1770*1858f998SYi Kong LOGICAL ISAME( 13 ) 1771*1858f998SYi Kong* .. External Functions .. 1772*1858f998SYi Kong LOGICAL LSE, LSERES 1773*1858f998SYi Kong EXTERNAL LSE, LSERES 1774*1858f998SYi Kong* .. External Subroutines .. 1775*1858f998SYi Kong EXTERNAL SMAKE, SMMCH, CSSYR2K 1776*1858f998SYi Kong* .. Intrinsic Functions .. 1777*1858f998SYi Kong INTRINSIC MAX 1778*1858f998SYi Kong* .. Scalars in Common .. 1779*1858f998SYi Kong INTEGER INFOT, NOUTC 1780*1858f998SYi Kong LOGICAL OK 1781*1858f998SYi Kong* .. Common blocks .. 1782*1858f998SYi Kong COMMON /INFOC/INFOT, NOUTC, OK 1783*1858f998SYi Kong* .. Data statements .. 1784*1858f998SYi Kong DATA ICHT/'NTC'/, ICHU/'UL'/ 1785*1858f998SYi Kong* .. Executable Statements .. 1786*1858f998SYi Kong* 1787*1858f998SYi Kong NARGS = 12 1788*1858f998SYi Kong NC = 0 1789*1858f998SYi Kong RESET = .TRUE. 1790*1858f998SYi Kong ERRMAX = ZERO 1791*1858f998SYi Kong* 1792*1858f998SYi Kong DO 130 IN = 1, NIDIM 1793*1858f998SYi Kong N = IDIM( IN ) 1794*1858f998SYi Kong* Set LDC to 1 more than minimum value if room. 1795*1858f998SYi Kong LDC = N 1796*1858f998SYi Kong IF( LDC.LT.NMAX ) 1797*1858f998SYi Kong $ LDC = LDC + 1 1798*1858f998SYi Kong* Skip tests if not enough room. 1799*1858f998SYi Kong IF( LDC.GT.NMAX ) 1800*1858f998SYi Kong $ GO TO 130 1801*1858f998SYi Kong LCC = LDC*N 1802*1858f998SYi Kong NULL = N.LE.0 1803*1858f998SYi Kong* 1804*1858f998SYi Kong DO 120 IK = 1, NIDIM 1805*1858f998SYi Kong K = IDIM( IK ) 1806*1858f998SYi Kong* 1807*1858f998SYi Kong DO 110 ICT = 1, 3 1808*1858f998SYi Kong TRANS = ICHT( ICT: ICT ) 1809*1858f998SYi Kong TRAN = TRANS.EQ.'T'.OR.TRANS.EQ.'C' 1810*1858f998SYi Kong IF( TRAN )THEN 1811*1858f998SYi Kong MA = K 1812*1858f998SYi Kong NA = N 1813*1858f998SYi Kong ELSE 1814*1858f998SYi Kong MA = N 1815*1858f998SYi Kong NA = K 1816*1858f998SYi Kong END IF 1817*1858f998SYi Kong* Set LDA to 1 more than minimum value if room. 1818*1858f998SYi Kong LDA = MA 1819*1858f998SYi Kong IF( LDA.LT.NMAX ) 1820*1858f998SYi Kong $ LDA = LDA + 1 1821*1858f998SYi Kong* Skip tests if not enough room. 1822*1858f998SYi Kong IF( LDA.GT.NMAX ) 1823*1858f998SYi Kong $ GO TO 110 1824*1858f998SYi Kong LAA = LDA*NA 1825*1858f998SYi Kong* 1826*1858f998SYi Kong* Generate the matrix A. 1827*1858f998SYi Kong* 1828*1858f998SYi Kong IF( TRAN )THEN 1829*1858f998SYi Kong CALL SMAKE( 'GE', ' ', ' ', MA, NA, AB, 2*NMAX, AA, 1830*1858f998SYi Kong $ LDA, RESET, ZERO ) 1831*1858f998SYi Kong ELSE 1832*1858f998SYi Kong CALL SMAKE( 'GE', ' ', ' ', MA, NA, AB, NMAX, AA, LDA, 1833*1858f998SYi Kong $ RESET, ZERO ) 1834*1858f998SYi Kong END IF 1835*1858f998SYi Kong* 1836*1858f998SYi Kong* Generate the matrix B. 1837*1858f998SYi Kong* 1838*1858f998SYi Kong LDB = LDA 1839*1858f998SYi Kong LBB = LAA 1840*1858f998SYi Kong IF( TRAN )THEN 1841*1858f998SYi Kong CALL SMAKE( 'GE', ' ', ' ', MA, NA, AB( K + 1 ), 1842*1858f998SYi Kong $ 2*NMAX, BB, LDB, RESET, ZERO ) 1843*1858f998SYi Kong ELSE 1844*1858f998SYi Kong CALL SMAKE( 'GE', ' ', ' ', MA, NA, AB( K*NMAX + 1 ), 1845*1858f998SYi Kong $ NMAX, BB, LDB, RESET, ZERO ) 1846*1858f998SYi Kong END IF 1847*1858f998SYi Kong* 1848*1858f998SYi Kong DO 100 ICU = 1, 2 1849*1858f998SYi Kong UPLO = ICHU( ICU: ICU ) 1850*1858f998SYi Kong UPPER = UPLO.EQ.'U' 1851*1858f998SYi Kong* 1852*1858f998SYi Kong DO 90 IA = 1, NALF 1853*1858f998SYi Kong ALPHA = ALF( IA ) 1854*1858f998SYi Kong* 1855*1858f998SYi Kong DO 80 IB = 1, NBET 1856*1858f998SYi Kong BETA = BET( IB ) 1857*1858f998SYi Kong* 1858*1858f998SYi Kong* Generate the matrix C. 1859*1858f998SYi Kong* 1860*1858f998SYi Kong CALL SMAKE( 'SY', UPLO, ' ', N, N, C, NMAX, CC, 1861*1858f998SYi Kong $ LDC, RESET, ZERO ) 1862*1858f998SYi Kong* 1863*1858f998SYi Kong NC = NC + 1 1864*1858f998SYi Kong* 1865*1858f998SYi Kong* Save every datum before calling the subroutine. 1866*1858f998SYi Kong* 1867*1858f998SYi Kong UPLOS = UPLO 1868*1858f998SYi Kong TRANSS = TRANS 1869*1858f998SYi Kong NS = N 1870*1858f998SYi Kong KS = K 1871*1858f998SYi Kong ALS = ALPHA 1872*1858f998SYi Kong DO 10 I = 1, LAA 1873*1858f998SYi Kong AS( I ) = AA( I ) 1874*1858f998SYi Kong 10 CONTINUE 1875*1858f998SYi Kong LDAS = LDA 1876*1858f998SYi Kong DO 20 I = 1, LBB 1877*1858f998SYi Kong BS( I ) = BB( I ) 1878*1858f998SYi Kong 20 CONTINUE 1879*1858f998SYi Kong LDBS = LDB 1880*1858f998SYi Kong BETS = BETA 1881*1858f998SYi Kong DO 30 I = 1, LCC 1882*1858f998SYi Kong CS( I ) = CC( I ) 1883*1858f998SYi Kong 30 CONTINUE 1884*1858f998SYi Kong LDCS = LDC 1885*1858f998SYi Kong* 1886*1858f998SYi Kong* Call the subroutine. 1887*1858f998SYi Kong* 1888*1858f998SYi Kong IF( TRACE ) 1889*1858f998SYi Kong $ CALL SPRCN5( NTRA, NC, SNAME, IORDER, UPLO, 1890*1858f998SYi Kong $ TRANS, N, K, ALPHA, LDA, LDB, BETA, LDC) 1891*1858f998SYi Kong IF( REWI ) 1892*1858f998SYi Kong $ REWIND NTRA 1893*1858f998SYi Kong CALL CSSYR2K( IORDER, UPLO, TRANS, N, K, ALPHA, 1894*1858f998SYi Kong $ AA, LDA, BB, LDB, BETA, CC, LDC ) 1895*1858f998SYi Kong* 1896*1858f998SYi Kong* Check if error-exit was taken incorrectly. 1897*1858f998SYi Kong* 1898*1858f998SYi Kong IF( .NOT.OK )THEN 1899*1858f998SYi Kong WRITE( NOUT, FMT = 9993 ) 1900*1858f998SYi Kong FATAL = .TRUE. 1901*1858f998SYi Kong GO TO 150 1902*1858f998SYi Kong END IF 1903*1858f998SYi Kong* 1904*1858f998SYi Kong* See what data changed inside subroutines. 1905*1858f998SYi Kong* 1906*1858f998SYi Kong ISAME( 1 ) = UPLOS.EQ.UPLO 1907*1858f998SYi Kong ISAME( 2 ) = TRANSS.EQ.TRANS 1908*1858f998SYi Kong ISAME( 3 ) = NS.EQ.N 1909*1858f998SYi Kong ISAME( 4 ) = KS.EQ.K 1910*1858f998SYi Kong ISAME( 5 ) = ALS.EQ.ALPHA 1911*1858f998SYi Kong ISAME( 6 ) = LSE( AS, AA, LAA ) 1912*1858f998SYi Kong ISAME( 7 ) = LDAS.EQ.LDA 1913*1858f998SYi Kong ISAME( 8 ) = LSE( BS, BB, LBB ) 1914*1858f998SYi Kong ISAME( 9 ) = LDBS.EQ.LDB 1915*1858f998SYi Kong ISAME( 10 ) = BETS.EQ.BETA 1916*1858f998SYi Kong IF( NULL )THEN 1917*1858f998SYi Kong ISAME( 11 ) = LSE( CS, CC, LCC ) 1918*1858f998SYi Kong ELSE 1919*1858f998SYi Kong ISAME( 11 ) = LSERES( 'SY', UPLO, N, N, CS, 1920*1858f998SYi Kong $ CC, LDC ) 1921*1858f998SYi Kong END IF 1922*1858f998SYi Kong ISAME( 12 ) = LDCS.EQ.LDC 1923*1858f998SYi Kong* 1924*1858f998SYi Kong* If data was incorrectly changed, report and 1925*1858f998SYi Kong* return. 1926*1858f998SYi Kong* 1927*1858f998SYi Kong SAME = .TRUE. 1928*1858f998SYi Kong DO 40 I = 1, NARGS 1929*1858f998SYi Kong SAME = SAME.AND.ISAME( I ) 1930*1858f998SYi Kong IF( .NOT.ISAME( I ) ) 1931*1858f998SYi Kong $ WRITE( NOUT, FMT = 9998 )I+1 1932*1858f998SYi Kong 40 CONTINUE 1933*1858f998SYi Kong IF( .NOT.SAME )THEN 1934*1858f998SYi Kong FATAL = .TRUE. 1935*1858f998SYi Kong GO TO 150 1936*1858f998SYi Kong END IF 1937*1858f998SYi Kong* 1938*1858f998SYi Kong IF( .NOT.NULL )THEN 1939*1858f998SYi Kong* 1940*1858f998SYi Kong* Check the result column by column. 1941*1858f998SYi Kong* 1942*1858f998SYi Kong JJAB = 1 1943*1858f998SYi Kong JC = 1 1944*1858f998SYi Kong DO 70 J = 1, N 1945*1858f998SYi Kong IF( UPPER )THEN 1946*1858f998SYi Kong JJ = 1 1947*1858f998SYi Kong LJ = J 1948*1858f998SYi Kong ELSE 1949*1858f998SYi Kong JJ = J 1950*1858f998SYi Kong LJ = N - J + 1 1951*1858f998SYi Kong END IF 1952*1858f998SYi Kong IF( TRAN )THEN 1953*1858f998SYi Kong DO 50 I = 1, K 1954*1858f998SYi Kong W( I ) = AB( ( J - 1 )*2*NMAX + K + 1955*1858f998SYi Kong $ I ) 1956*1858f998SYi Kong W( K + I ) = AB( ( J - 1 )*2*NMAX + 1957*1858f998SYi Kong $ I ) 1958*1858f998SYi Kong 50 CONTINUE 1959*1858f998SYi Kong CALL SMMCH( 'T', 'N', LJ, 1, 2*K, 1960*1858f998SYi Kong $ ALPHA, AB( JJAB ), 2*NMAX, 1961*1858f998SYi Kong $ W, 2*NMAX, BETA, 1962*1858f998SYi Kong $ C( JJ, J ), NMAX, CT, G, 1963*1858f998SYi Kong $ CC( JC ), LDC, EPS, ERR, 1964*1858f998SYi Kong $ FATAL, NOUT, .TRUE. ) 1965*1858f998SYi Kong ELSE 1966*1858f998SYi Kong DO 60 I = 1, K 1967*1858f998SYi Kong W( I ) = AB( ( K + I - 1 )*NMAX + 1968*1858f998SYi Kong $ J ) 1969*1858f998SYi Kong W( K + I ) = AB( ( I - 1 )*NMAX + 1970*1858f998SYi Kong $ J ) 1971*1858f998SYi Kong 60 CONTINUE 1972*1858f998SYi Kong CALL SMMCH( 'N', 'N', LJ, 1, 2*K, 1973*1858f998SYi Kong $ ALPHA, AB( JJ ), NMAX, W, 1974*1858f998SYi Kong $ 2*NMAX, BETA, C( JJ, J ), 1975*1858f998SYi Kong $ NMAX, CT, G, CC( JC ), LDC, 1976*1858f998SYi Kong $ EPS, ERR, FATAL, NOUT, 1977*1858f998SYi Kong $ .TRUE. ) 1978*1858f998SYi Kong END IF 1979*1858f998SYi Kong IF( UPPER )THEN 1980*1858f998SYi Kong JC = JC + LDC 1981*1858f998SYi Kong ELSE 1982*1858f998SYi Kong JC = JC + LDC + 1 1983*1858f998SYi Kong IF( TRAN ) 1984*1858f998SYi Kong $ JJAB = JJAB + 2*NMAX 1985*1858f998SYi Kong END IF 1986*1858f998SYi Kong ERRMAX = MAX( ERRMAX, ERR ) 1987*1858f998SYi Kong* If got really bad answer, report and 1988*1858f998SYi Kong* return. 1989*1858f998SYi Kong IF( FATAL ) 1990*1858f998SYi Kong $ GO TO 140 1991*1858f998SYi Kong 70 CONTINUE 1992*1858f998SYi Kong END IF 1993*1858f998SYi Kong* 1994*1858f998SYi Kong 80 CONTINUE 1995*1858f998SYi Kong* 1996*1858f998SYi Kong 90 CONTINUE 1997*1858f998SYi Kong* 1998*1858f998SYi Kong 100 CONTINUE 1999*1858f998SYi Kong* 2000*1858f998SYi Kong 110 CONTINUE 2001*1858f998SYi Kong* 2002*1858f998SYi Kong 120 CONTINUE 2003*1858f998SYi Kong* 2004*1858f998SYi Kong 130 CONTINUE 2005*1858f998SYi Kong* 2006*1858f998SYi Kong* Report result. 2007*1858f998SYi Kong* 2008*1858f998SYi Kong IF( ERRMAX.LT.THRESH )THEN 2009*1858f998SYi Kong IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10000 )SNAME, NC 2010*1858f998SYi Kong IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10001 )SNAME, NC 2011*1858f998SYi Kong ELSE 2012*1858f998SYi Kong IF ( IORDER.EQ.0) WRITE( NOUT, FMT = 10002 )SNAME, NC, ERRMAX 2013*1858f998SYi Kong IF ( IORDER.EQ.1) WRITE( NOUT, FMT = 10003 )SNAME, NC, ERRMAX 2014*1858f998SYi Kong END IF 2015*1858f998SYi Kong GO TO 160 2016*1858f998SYi Kong* 2017*1858f998SYi Kong 140 CONTINUE 2018*1858f998SYi Kong IF( N.GT.1 ) 2019*1858f998SYi Kong $ WRITE( NOUT, FMT = 9995 )J 2020*1858f998SYi Kong* 2021*1858f998SYi Kong 150 CONTINUE 2022*1858f998SYi Kong WRITE( NOUT, FMT = 9996 )SNAME 2023*1858f998SYi Kong CALL SPRCN5( NOUT, NC, SNAME, IORDER, UPLO, TRANS, N, K, ALPHA, 2024*1858f998SYi Kong $ LDA, LDB, BETA, LDC) 2025*1858f998SYi Kong* 2026*1858f998SYi Kong 160 CONTINUE 2027*1858f998SYi Kong RETURN 2028*1858f998SYi Kong* 2029*1858f998SYi Kong10003 FORMAT( ' ', A12,' COMPLETED THE ROW-MAJOR COMPUTATIONAL ', 2030*1858f998SYi Kong $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ', 2031*1858f998SYi Kong $ 'RATIO ', F8.2, ' - SUSPECT *******' ) 2032*1858f998SYi Kong10002 FORMAT( ' ', A12,' COMPLETED THE COLUMN-MAJOR COMPUTATIONAL ', 2033*1858f998SYi Kong $ 'TESTS (', I6, ' CALLS)', /' ******* BUT WITH MAXIMUM TEST ', 2034*1858f998SYi Kong $ 'RATIO ', F8.2, ' - SUSPECT *******' ) 2035*1858f998SYi Kong10001 FORMAT( ' ', A12,' PASSED THE ROW-MAJOR COMPUTATIONAL TESTS', 2036*1858f998SYi Kong $ ' (', I6, ' CALL', 'S)' ) 2037*1858f998SYi Kong10000 FORMAT( ' ', A12,' PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS', 2038*1858f998SYi Kong $ ' (', I6, ' CALL', 'S)' ) 2039*1858f998SYi Kong 9998 FORMAT( ' ******* FATAL ERROR - PARAMETER NUMBER ', I2, ' WAS CH', 2040*1858f998SYi Kong $ 'ANGED INCORRECTLY *******' ) 2041*1858f998SYi Kong 9996 FORMAT( ' ******* ', A12,' FAILED ON CALL NUMBER:' ) 2042*1858f998SYi Kong 9995 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) 2043*1858f998SYi Kong 9994 FORMAT( 1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ), 2044*1858f998SYi Kong $ F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', C,', I3, ') ', 2045*1858f998SYi Kong $ ' .' ) 2046*1858f998SYi Kong 9993 FORMAT( ' ******* FATAL ERROR - ERROR-EXIT TAKEN ON VALID CALL *', 2047*1858f998SYi Kong $ '******' ) 2048*1858f998SYi Kong* 2049*1858f998SYi Kong* End of SCHK5. 2050*1858f998SYi Kong* 2051*1858f998SYi Kong END 2052*1858f998SYi Kong* 2053*1858f998SYi Kong SUBROUTINE SPRCN5(NOUT, NC, SNAME, IORDER, UPLO, TRANSA, 2054*1858f998SYi Kong $ N, K, ALPHA, LDA, LDB, BETA, LDC) 2055*1858f998SYi Kong INTEGER NOUT, NC, IORDER, N, K, LDA, LDB, LDC 2056*1858f998SYi Kong REAL ALPHA, BETA 2057*1858f998SYi Kong CHARACTER*1 UPLO, TRANSA 2058*1858f998SYi Kong CHARACTER*12 SNAME 2059*1858f998SYi Kong CHARACTER*14 CRC, CU, CA 2060*1858f998SYi Kong 2061*1858f998SYi Kong IF (UPLO.EQ.'U')THEN 2062*1858f998SYi Kong CU = ' CblasUpper' 2063*1858f998SYi Kong ELSE 2064*1858f998SYi Kong CU = ' CblasLower' 2065*1858f998SYi Kong END IF 2066*1858f998SYi Kong IF (TRANSA.EQ.'N')THEN 2067*1858f998SYi Kong CA = ' CblasNoTrans' 2068*1858f998SYi Kong ELSE IF (TRANSA.EQ.'T')THEN 2069*1858f998SYi Kong CA = ' CblasTrans' 2070*1858f998SYi Kong ELSE 2071*1858f998SYi Kong CA = 'CblasConjTrans' 2072*1858f998SYi Kong END IF 2073*1858f998SYi Kong IF (IORDER.EQ.1)THEN 2074*1858f998SYi Kong CRC = ' CblasRowMajor' 2075*1858f998SYi Kong ELSE 2076*1858f998SYi Kong CRC = ' CblasColMajor' 2077*1858f998SYi Kong END IF 2078*1858f998SYi Kong WRITE(NOUT, FMT = 9995)NC, SNAME, CRC, CU, CA 2079*1858f998SYi Kong WRITE(NOUT, FMT = 9994)N, K, ALPHA, LDA, LDB, BETA, LDC 2080*1858f998SYi Kong 2081*1858f998SYi Kong 9995 FORMAT( 1X, I6, ': ', A12,'(', 3( A14, ',') ) 2082*1858f998SYi Kong 9994 FORMAT( 20X, 2( I3, ',' ), 2083*1858f998SYi Kong $ F4.1, ', A,', I3, ', B', I3, ',', F4.1, ', C,', I3, ').' ) 2084*1858f998SYi Kong END 2085*1858f998SYi Kong* 2086*1858f998SYi Kong SUBROUTINE SMAKE( TYPE, UPLO, DIAG, M, N, A, NMAX, AA, LDA, RESET, 2087*1858f998SYi Kong $ TRANSL ) 2088*1858f998SYi Kong* 2089*1858f998SYi Kong* Generates values for an M by N matrix A. 2090*1858f998SYi Kong* Stores the values in the array AA in the data structure required 2091*1858f998SYi Kong* by the routine, with unwanted elements set to rogue value. 2092*1858f998SYi Kong* 2093*1858f998SYi Kong* TYPE is 'GE', 'SY' or 'TR'. 2094*1858f998SYi Kong* 2095*1858f998SYi Kong* Auxiliary routine for test program for Level 3 Blas. 2096*1858f998SYi Kong* 2097*1858f998SYi Kong* -- Written on 8-February-1989. 2098*1858f998SYi Kong* Jack Dongarra, Argonne National Laboratory. 2099*1858f998SYi Kong* Iain Duff, AERE Harwell. 2100*1858f998SYi Kong* Jeremy Du Croz, Numerical Algorithms Group Ltd. 2101*1858f998SYi Kong* Sven Hammarling, Numerical Algorithms Group Ltd. 2102*1858f998SYi Kong* 2103*1858f998SYi Kong* .. Parameters .. 2104*1858f998SYi Kong REAL ZERO, ONE 2105*1858f998SYi Kong PARAMETER ( ZERO = 0.0, ONE = 1.0 ) 2106*1858f998SYi Kong REAL ROGUE 2107*1858f998SYi Kong PARAMETER ( ROGUE = -1.0E10 ) 2108*1858f998SYi Kong* .. Scalar Arguments .. 2109*1858f998SYi Kong REAL TRANSL 2110*1858f998SYi Kong INTEGER LDA, M, N, NMAX 2111*1858f998SYi Kong LOGICAL RESET 2112*1858f998SYi Kong CHARACTER*1 DIAG, UPLO 2113*1858f998SYi Kong CHARACTER*2 TYPE 2114*1858f998SYi Kong* .. Array Arguments .. 2115*1858f998SYi Kong REAL A( NMAX, * ), AA( * ) 2116*1858f998SYi Kong* .. Local Scalars .. 2117*1858f998SYi Kong INTEGER I, IBEG, IEND, J 2118*1858f998SYi Kong LOGICAL GEN, LOWER, SYM, TRI, UNIT, UPPER 2119*1858f998SYi Kong* .. External Functions .. 2120*1858f998SYi Kong REAL SBEG 2121*1858f998SYi Kong EXTERNAL SBEG 2122*1858f998SYi Kong* .. Executable Statements .. 2123*1858f998SYi Kong GEN = TYPE.EQ.'GE' 2124*1858f998SYi Kong SYM = TYPE.EQ.'SY' 2125*1858f998SYi Kong TRI = TYPE.EQ.'TR' 2126*1858f998SYi Kong UPPER = ( SYM.OR.TRI ).AND.UPLO.EQ.'U' 2127*1858f998SYi Kong LOWER = ( SYM.OR.TRI ).AND.UPLO.EQ.'L' 2128*1858f998SYi Kong UNIT = TRI.AND.DIAG.EQ.'U' 2129*1858f998SYi Kong* 2130*1858f998SYi Kong* Generate data in array A. 2131*1858f998SYi Kong* 2132*1858f998SYi Kong DO 20 J = 1, N 2133*1858f998SYi Kong DO 10 I = 1, M 2134*1858f998SYi Kong IF( GEN.OR.( UPPER.AND.I.LE.J ).OR.( LOWER.AND.I.GE.J ) ) 2135*1858f998SYi Kong $ THEN 2136*1858f998SYi Kong A( I, J ) = SBEG( RESET ) + TRANSL 2137*1858f998SYi Kong IF( I.NE.J )THEN 2138*1858f998SYi Kong* Set some elements to zero 2139*1858f998SYi Kong IF( N.GT.3.AND.J.EQ.N/2 ) 2140*1858f998SYi Kong $ A( I, J ) = ZERO 2141*1858f998SYi Kong IF( SYM )THEN 2142*1858f998SYi Kong A( J, I ) = A( I, J ) 2143*1858f998SYi Kong ELSE IF( TRI )THEN 2144*1858f998SYi Kong A( J, I ) = ZERO 2145*1858f998SYi Kong END IF 2146*1858f998SYi Kong END IF 2147*1858f998SYi Kong END IF 2148*1858f998SYi Kong 10 CONTINUE 2149*1858f998SYi Kong IF( TRI ) 2150*1858f998SYi Kong $ A( J, J ) = A( J, J ) + ONE 2151*1858f998SYi Kong IF( UNIT ) 2152*1858f998SYi Kong $ A( J, J ) = ONE 2153*1858f998SYi Kong 20 CONTINUE 2154*1858f998SYi Kong* 2155*1858f998SYi Kong* Store elements in array AS in data structure required by routine. 2156*1858f998SYi Kong* 2157*1858f998SYi Kong IF( TYPE.EQ.'GE' )THEN 2158*1858f998SYi Kong DO 50 J = 1, N 2159*1858f998SYi Kong DO 30 I = 1, M 2160*1858f998SYi Kong AA( I + ( J - 1 )*LDA ) = A( I, J ) 2161*1858f998SYi Kong 30 CONTINUE 2162*1858f998SYi Kong DO 40 I = M + 1, LDA 2163*1858f998SYi Kong AA( I + ( J - 1 )*LDA ) = ROGUE 2164*1858f998SYi Kong 40 CONTINUE 2165*1858f998SYi Kong 50 CONTINUE 2166*1858f998SYi Kong ELSE IF( TYPE.EQ.'SY'.OR.TYPE.EQ.'TR' )THEN 2167*1858f998SYi Kong DO 90 J = 1, N 2168*1858f998SYi Kong IF( UPPER )THEN 2169*1858f998SYi Kong IBEG = 1 2170*1858f998SYi Kong IF( UNIT )THEN 2171*1858f998SYi Kong IEND = J - 1 2172*1858f998SYi Kong ELSE 2173*1858f998SYi Kong IEND = J 2174*1858f998SYi Kong END IF 2175*1858f998SYi Kong ELSE 2176*1858f998SYi Kong IF( UNIT )THEN 2177*1858f998SYi Kong IBEG = J + 1 2178*1858f998SYi Kong ELSE 2179*1858f998SYi Kong IBEG = J 2180*1858f998SYi Kong END IF 2181*1858f998SYi Kong IEND = N 2182*1858f998SYi Kong END IF 2183*1858f998SYi Kong DO 60 I = 1, IBEG - 1 2184*1858f998SYi Kong AA( I + ( J - 1 )*LDA ) = ROGUE 2185*1858f998SYi Kong 60 CONTINUE 2186*1858f998SYi Kong DO 70 I = IBEG, IEND 2187*1858f998SYi Kong AA( I + ( J - 1 )*LDA ) = A( I, J ) 2188*1858f998SYi Kong 70 CONTINUE 2189*1858f998SYi Kong DO 80 I = IEND + 1, LDA 2190*1858f998SYi Kong AA( I + ( J - 1 )*LDA ) = ROGUE 2191*1858f998SYi Kong 80 CONTINUE 2192*1858f998SYi Kong 90 CONTINUE 2193*1858f998SYi Kong END IF 2194*1858f998SYi Kong RETURN 2195*1858f998SYi Kong* 2196*1858f998SYi Kong* End of SMAKE. 2197*1858f998SYi Kong* 2198*1858f998SYi Kong END 2199*1858f998SYi Kong SUBROUTINE SMMCH( TRANSA, TRANSB, M, N, KK, ALPHA, A, LDA, B, LDB, 2200*1858f998SYi Kong $ BETA, C, LDC, CT, G, CC, LDCC, EPS, ERR, FATAL, 2201*1858f998SYi Kong $ NOUT, MV ) 2202*1858f998SYi Kong* 2203*1858f998SYi Kong* Checks the results of the computational tests. 2204*1858f998SYi Kong* 2205*1858f998SYi Kong* Auxiliary routine for test program for Level 3 Blas. 2206*1858f998SYi Kong* 2207*1858f998SYi Kong* -- Written on 8-February-1989. 2208*1858f998SYi Kong* Jack Dongarra, Argonne National Laboratory. 2209*1858f998SYi Kong* Iain Duff, AERE Harwell. 2210*1858f998SYi Kong* Jeremy Du Croz, Numerical Algorithms Group Ltd. 2211*1858f998SYi Kong* Sven Hammarling, Numerical Algorithms Group Ltd. 2212*1858f998SYi Kong* 2213*1858f998SYi Kong* .. Parameters .. 2214*1858f998SYi Kong REAL ZERO, ONE 2215*1858f998SYi Kong PARAMETER ( ZERO = 0.0, ONE = 1.0 ) 2216*1858f998SYi Kong* .. Scalar Arguments .. 2217*1858f998SYi Kong REAL ALPHA, BETA, EPS, ERR 2218*1858f998SYi Kong INTEGER KK, LDA, LDB, LDC, LDCC, M, N, NOUT 2219*1858f998SYi Kong LOGICAL FATAL, MV 2220*1858f998SYi Kong CHARACTER*1 TRANSA, TRANSB 2221*1858f998SYi Kong* .. Array Arguments .. 2222*1858f998SYi Kong REAL A( LDA, * ), B( LDB, * ), C( LDC, * ), 2223*1858f998SYi Kong $ CC( LDCC, * ), CT( * ), G( * ) 2224*1858f998SYi Kong* .. Local Scalars .. 2225*1858f998SYi Kong REAL ERRI 2226*1858f998SYi Kong INTEGER I, J, K 2227*1858f998SYi Kong LOGICAL TRANA, TRANB 2228*1858f998SYi Kong* .. Intrinsic Functions .. 2229*1858f998SYi Kong INTRINSIC ABS, MAX, SQRT 2230*1858f998SYi Kong* .. Executable Statements .. 2231*1858f998SYi Kong TRANA = TRANSA.EQ.'T'.OR.TRANSA.EQ.'C' 2232*1858f998SYi Kong TRANB = TRANSB.EQ.'T'.OR.TRANSB.EQ.'C' 2233*1858f998SYi Kong* 2234*1858f998SYi Kong* Compute expected result, one column at a time, in CT using data 2235*1858f998SYi Kong* in A, B and C. 2236*1858f998SYi Kong* Compute gauges in G. 2237*1858f998SYi Kong* 2238*1858f998SYi Kong DO 120 J = 1, N 2239*1858f998SYi Kong* 2240*1858f998SYi Kong DO 10 I = 1, M 2241*1858f998SYi Kong CT( I ) = ZERO 2242*1858f998SYi Kong G( I ) = ZERO 2243*1858f998SYi Kong 10 CONTINUE 2244*1858f998SYi Kong IF( .NOT.TRANA.AND..NOT.TRANB )THEN 2245*1858f998SYi Kong DO 30 K = 1, KK 2246*1858f998SYi Kong DO 20 I = 1, M 2247*1858f998SYi Kong CT( I ) = CT( I ) + A( I, K )*B( K, J ) 2248*1858f998SYi Kong G( I ) = G( I ) + ABS( A( I, K ) )*ABS( B( K, J ) ) 2249*1858f998SYi Kong 20 CONTINUE 2250*1858f998SYi Kong 30 CONTINUE 2251*1858f998SYi Kong ELSE IF( TRANA.AND..NOT.TRANB )THEN 2252*1858f998SYi Kong DO 50 K = 1, KK 2253*1858f998SYi Kong DO 40 I = 1, M 2254*1858f998SYi Kong CT( I ) = CT( I ) + A( K, I )*B( K, J ) 2255*1858f998SYi Kong G( I ) = G( I ) + ABS( A( K, I ) )*ABS( B( K, J ) ) 2256*1858f998SYi Kong 40 CONTINUE 2257*1858f998SYi Kong 50 CONTINUE 2258*1858f998SYi Kong ELSE IF( .NOT.TRANA.AND.TRANB )THEN 2259*1858f998SYi Kong DO 70 K = 1, KK 2260*1858f998SYi Kong DO 60 I = 1, M 2261*1858f998SYi Kong CT( I ) = CT( I ) + A( I, K )*B( J, K ) 2262*1858f998SYi Kong G( I ) = G( I ) + ABS( A( I, K ) )*ABS( B( J, K ) ) 2263*1858f998SYi Kong 60 CONTINUE 2264*1858f998SYi Kong 70 CONTINUE 2265*1858f998SYi Kong ELSE IF( TRANA.AND.TRANB )THEN 2266*1858f998SYi Kong DO 90 K = 1, KK 2267*1858f998SYi Kong DO 80 I = 1, M 2268*1858f998SYi Kong CT( I ) = CT( I ) + A( K, I )*B( J, K ) 2269*1858f998SYi Kong G( I ) = G( I ) + ABS( A( K, I ) )*ABS( B( J, K ) ) 2270*1858f998SYi Kong 80 CONTINUE 2271*1858f998SYi Kong 90 CONTINUE 2272*1858f998SYi Kong END IF 2273*1858f998SYi Kong DO 100 I = 1, M 2274*1858f998SYi Kong CT( I ) = ALPHA*CT( I ) + BETA*C( I, J ) 2275*1858f998SYi Kong G( I ) = ABS( ALPHA )*G( I ) + ABS( BETA )*ABS( C( I, J ) ) 2276*1858f998SYi Kong 100 CONTINUE 2277*1858f998SYi Kong* 2278*1858f998SYi Kong* Compute the error ratio for this result. 2279*1858f998SYi Kong* 2280*1858f998SYi Kong ERR = ZERO 2281*1858f998SYi Kong DO 110 I = 1, M 2282*1858f998SYi Kong ERRI = ABS( CT( I ) - CC( I, J ) )/EPS 2283*1858f998SYi Kong IF( G( I ).NE.ZERO ) 2284*1858f998SYi Kong $ ERRI = ERRI/G( I ) 2285*1858f998SYi Kong ERR = MAX( ERR, ERRI ) 2286*1858f998SYi Kong IF( ERR*SQRT( EPS ).GE.ONE ) 2287*1858f998SYi Kong $ GO TO 130 2288*1858f998SYi Kong 110 CONTINUE 2289*1858f998SYi Kong* 2290*1858f998SYi Kong 120 CONTINUE 2291*1858f998SYi Kong* 2292*1858f998SYi Kong* If the loop completes, all results are at least half accurate. 2293*1858f998SYi Kong GO TO 150 2294*1858f998SYi Kong* 2295*1858f998SYi Kong* Report fatal error. 2296*1858f998SYi Kong* 2297*1858f998SYi Kong 130 FATAL = .TRUE. 2298*1858f998SYi Kong WRITE( NOUT, FMT = 9999 ) 2299*1858f998SYi Kong DO 140 I = 1, M 2300*1858f998SYi Kong IF( MV )THEN 2301*1858f998SYi Kong WRITE( NOUT, FMT = 9998 )I, CT( I ), CC( I, J ) 2302*1858f998SYi Kong ELSE 2303*1858f998SYi Kong WRITE( NOUT, FMT = 9998 )I, CC( I, J ), CT( I ) 2304*1858f998SYi Kong END IF 2305*1858f998SYi Kong 140 CONTINUE 2306*1858f998SYi Kong IF( N.GT.1 ) 2307*1858f998SYi Kong $ WRITE( NOUT, FMT = 9997 )J 2308*1858f998SYi Kong* 2309*1858f998SYi Kong 150 CONTINUE 2310*1858f998SYi Kong RETURN 2311*1858f998SYi Kong* 2312*1858f998SYi Kong 9999 FORMAT( ' ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HAL', 2313*1858f998SYi Kong $ 'F ACCURATE *******', /' EXPECTED RESULT COMPU', 2314*1858f998SYi Kong $ 'TED RESULT' ) 2315*1858f998SYi Kong 9998 FORMAT( 1X, I7, 2G18.6 ) 2316*1858f998SYi Kong 9997 FORMAT( ' THESE ARE THE RESULTS FOR COLUMN ', I3 ) 2317*1858f998SYi Kong* 2318*1858f998SYi Kong* End of SMMCH. 2319*1858f998SYi Kong* 2320*1858f998SYi Kong END 2321*1858f998SYi Kong LOGICAL FUNCTION LSE( RI, RJ, LR ) 2322*1858f998SYi Kong* 2323*1858f998SYi Kong* Tests if two arrays are identical. 2324*1858f998SYi Kong* 2325*1858f998SYi Kong* Auxiliary routine for test program for Level 3 Blas. 2326*1858f998SYi Kong* 2327*1858f998SYi Kong* -- Written on 8-February-1989. 2328*1858f998SYi Kong* Jack Dongarra, Argonne National Laboratory. 2329*1858f998SYi Kong* Iain Duff, AERE Harwell. 2330*1858f998SYi Kong* Jeremy Du Croz, Numerical Algorithms Group Ltd. 2331*1858f998SYi Kong* Sven Hammarling, Numerical Algorithms Group Ltd. 2332*1858f998SYi Kong* 2333*1858f998SYi Kong* .. Scalar Arguments .. 2334*1858f998SYi Kong INTEGER LR 2335*1858f998SYi Kong* .. Array Arguments .. 2336*1858f998SYi Kong REAL RI( * ), RJ( * ) 2337*1858f998SYi Kong* .. Local Scalars .. 2338*1858f998SYi Kong INTEGER I 2339*1858f998SYi Kong* .. Executable Statements .. 2340*1858f998SYi Kong DO 10 I = 1, LR 2341*1858f998SYi Kong IF( RI( I ).NE.RJ( I ) ) 2342*1858f998SYi Kong $ GO TO 20 2343*1858f998SYi Kong 10 CONTINUE 2344*1858f998SYi Kong LSE = .TRUE. 2345*1858f998SYi Kong GO TO 30 2346*1858f998SYi Kong 20 CONTINUE 2347*1858f998SYi Kong LSE = .FALSE. 2348*1858f998SYi Kong 30 RETURN 2349*1858f998SYi Kong* 2350*1858f998SYi Kong* End of LSE. 2351*1858f998SYi Kong* 2352*1858f998SYi Kong END 2353*1858f998SYi Kong LOGICAL FUNCTION LSERES( TYPE, UPLO, M, N, AA, AS, LDA ) 2354*1858f998SYi Kong* 2355*1858f998SYi Kong* Tests if selected elements in two arrays are equal. 2356*1858f998SYi Kong* 2357*1858f998SYi Kong* TYPE is 'GE' or 'SY'. 2358*1858f998SYi Kong* 2359*1858f998SYi Kong* Auxiliary routine for test program for Level 3 Blas. 2360*1858f998SYi Kong* 2361*1858f998SYi Kong* -- Written on 8-February-1989. 2362*1858f998SYi Kong* Jack Dongarra, Argonne National Laboratory. 2363*1858f998SYi Kong* Iain Duff, AERE Harwell. 2364*1858f998SYi Kong* Jeremy Du Croz, Numerical Algorithms Group Ltd. 2365*1858f998SYi Kong* Sven Hammarling, Numerical Algorithms Group Ltd. 2366*1858f998SYi Kong* 2367*1858f998SYi Kong* .. Scalar Arguments .. 2368*1858f998SYi Kong INTEGER LDA, M, N 2369*1858f998SYi Kong CHARACTER*1 UPLO 2370*1858f998SYi Kong CHARACTER*2 TYPE 2371*1858f998SYi Kong* .. Array Arguments .. 2372*1858f998SYi Kong REAL AA( LDA, * ), AS( LDA, * ) 2373*1858f998SYi Kong* .. Local Scalars .. 2374*1858f998SYi Kong INTEGER I, IBEG, IEND, J 2375*1858f998SYi Kong LOGICAL UPPER 2376*1858f998SYi Kong* .. Executable Statements .. 2377*1858f998SYi Kong UPPER = UPLO.EQ.'U' 2378*1858f998SYi Kong IF( TYPE.EQ.'GE' )THEN 2379*1858f998SYi Kong DO 20 J = 1, N 2380*1858f998SYi Kong DO 10 I = M + 1, LDA 2381*1858f998SYi Kong IF( AA( I, J ).NE.AS( I, J ) ) 2382*1858f998SYi Kong $ GO TO 70 2383*1858f998SYi Kong 10 CONTINUE 2384*1858f998SYi Kong 20 CONTINUE 2385*1858f998SYi Kong ELSE IF( TYPE.EQ.'SY' )THEN 2386*1858f998SYi Kong DO 50 J = 1, N 2387*1858f998SYi Kong IF( UPPER )THEN 2388*1858f998SYi Kong IBEG = 1 2389*1858f998SYi Kong IEND = J 2390*1858f998SYi Kong ELSE 2391*1858f998SYi Kong IBEG = J 2392*1858f998SYi Kong IEND = N 2393*1858f998SYi Kong END IF 2394*1858f998SYi Kong DO 30 I = 1, IBEG - 1 2395*1858f998SYi Kong IF( AA( I, J ).NE.AS( I, J ) ) 2396*1858f998SYi Kong $ GO TO 70 2397*1858f998SYi Kong 30 CONTINUE 2398*1858f998SYi Kong DO 40 I = IEND + 1, LDA 2399*1858f998SYi Kong IF( AA( I, J ).NE.AS( I, J ) ) 2400*1858f998SYi Kong $ GO TO 70 2401*1858f998SYi Kong 40 CONTINUE 2402*1858f998SYi Kong 50 CONTINUE 2403*1858f998SYi Kong END IF 2404*1858f998SYi Kong* 2405*1858f998SYi Kong 60 CONTINUE 2406*1858f998SYi Kong LSERES = .TRUE. 2407*1858f998SYi Kong GO TO 80 2408*1858f998SYi Kong 70 CONTINUE 2409*1858f998SYi Kong LSERES = .FALSE. 2410*1858f998SYi Kong 80 RETURN 2411*1858f998SYi Kong* 2412*1858f998SYi Kong* End of LSERES. 2413*1858f998SYi Kong* 2414*1858f998SYi Kong END 2415*1858f998SYi Kong REAL FUNCTION SBEG( RESET ) 2416*1858f998SYi Kong* 2417*1858f998SYi Kong* Generates random numbers uniformly distributed between -0.5 and 0.5. 2418*1858f998SYi Kong* 2419*1858f998SYi Kong* Auxiliary routine for test program for Level 3 Blas. 2420*1858f998SYi Kong* 2421*1858f998SYi Kong* -- Written on 8-February-1989. 2422*1858f998SYi Kong* Jack Dongarra, Argonne National Laboratory. 2423*1858f998SYi Kong* Iain Duff, AERE Harwell. 2424*1858f998SYi Kong* Jeremy Du Croz, Numerical Algorithms Group Ltd. 2425*1858f998SYi Kong* Sven Hammarling, Numerical Algorithms Group Ltd. 2426*1858f998SYi Kong* 2427*1858f998SYi Kong* .. Scalar Arguments .. 2428*1858f998SYi Kong LOGICAL RESET 2429*1858f998SYi Kong* .. Local Scalars .. 2430*1858f998SYi Kong INTEGER I, IC, MI 2431*1858f998SYi Kong* .. Save statement .. 2432*1858f998SYi Kong SAVE I, IC, MI 2433*1858f998SYi Kong* .. Executable Statements .. 2434*1858f998SYi Kong IF( RESET )THEN 2435*1858f998SYi Kong* Initialize local variables. 2436*1858f998SYi Kong MI = 891 2437*1858f998SYi Kong I = 7 2438*1858f998SYi Kong IC = 0 2439*1858f998SYi Kong RESET = .FALSE. 2440*1858f998SYi Kong END IF 2441*1858f998SYi Kong* 2442*1858f998SYi Kong* The sequence of values of I is bounded between 1 and 999. 2443*1858f998SYi Kong* If initial I = 1,2,3,6,7 or 9, the period will be 50. 2444*1858f998SYi Kong* If initial I = 4 or 8, the period will be 25. 2445*1858f998SYi Kong* If initial I = 5, the period will be 10. 2446*1858f998SYi Kong* IC is used to break up the period by skipping 1 value of I in 6. 2447*1858f998SYi Kong* 2448*1858f998SYi Kong IC = IC + 1 2449*1858f998SYi Kong 10 I = I*MI 2450*1858f998SYi Kong I = I - 1000*( I/1000 ) 2451*1858f998SYi Kong IF( IC.GE.5 )THEN 2452*1858f998SYi Kong IC = 0 2453*1858f998SYi Kong GO TO 10 2454*1858f998SYi Kong END IF 2455*1858f998SYi Kong SBEG = ( I - 500 )/1001.0 2456*1858f998SYi Kong RETURN 2457*1858f998SYi Kong* 2458*1858f998SYi Kong* End of SBEG. 2459*1858f998SYi Kong* 2460*1858f998SYi Kong END 2461*1858f998SYi Kong REAL FUNCTION SDIFF( X, Y ) 2462*1858f998SYi Kong* 2463*1858f998SYi Kong* Auxiliary routine for test program for Level 3 Blas. 2464*1858f998SYi Kong* 2465*1858f998SYi Kong* -- Written on 8-February-1989. 2466*1858f998SYi Kong* Jack Dongarra, Argonne National Laboratory. 2467*1858f998SYi Kong* Iain Duff, AERE Harwell. 2468*1858f998SYi Kong* Jeremy Du Croz, Numerical Algorithms Group Ltd. 2469*1858f998SYi Kong* Sven Hammarling, Numerical Algorithms Group Ltd. 2470*1858f998SYi Kong* 2471*1858f998SYi Kong* .. Scalar Arguments .. 2472*1858f998SYi Kong REAL X, Y 2473*1858f998SYi Kong* .. Executable Statements .. 2474*1858f998SYi Kong SDIFF = X - Y 2475*1858f998SYi Kong RETURN 2476*1858f998SYi Kong* 2477*1858f998SYi Kong* End of SDIFF. 2478*1858f998SYi Kong* 2479*1858f998SYi Kong END 2480