|
1
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 |
SUBROUTINE SDRVRF4( NOUT, NN, NVAL, THRESH, C1, C2, LDC, CRF, A,
+ LDA, S_WORK_SLANGE ) * * -- LAPACK test routine (version 3.2.0) -- * Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. * November 2008 * * .. Scalar Arguments .. INTEGER LDA, LDC, NN, NOUT REAL THRESH * .. * .. Array Arguments .. INTEGER NVAL( NN ) REAL A( LDA, * ), C1( LDC, * ), C2( LDC, *), + CRF( * ), S_WORK_SLANGE( * ) * .. * * Purpose * ======= * * SDRVRF4 tests the LAPACK RFP routines: * SSFRK * * Arguments * ========= * * NOUT (input) INTEGER * The unit number for output. * * NN (input) INTEGER * The number of values of N contained in the vector NVAL. * * NVAL (input) INTEGER array, dimension (NN) * The values of the matrix dimension N. * * THRESH (input) REAL * The threshold value for the test ratios. A result is * included in the output file if RESULT >= THRESH. To * have every test ratio printed, use THRESH = 0. * * C1 (workspace) REAL array, * dimension (LDC,NMAX) * * C2 (workspace) REAL array, * dimension (LDC,NMAX) * * LDC (input) INTEGER * The leading dimension of the array A. * LDA >= max(1,NMAX). * * CRF (workspace) REAL array, * dimension ((NMAX*(NMAX+1))/2). * * A (workspace) REAL array, * dimension (LDA,NMAX) * * LDA (input) INTEGER * The leading dimension of the array A. LDA >= max(1,NMAX). * * S_WORK_SLANGE (workspace) REAL array, dimension (NMAX) * * ===================================================================== * .. * .. Parameters .. REAL ZERO, ONE PARAMETER ( ZERO = 0.0E+0, ONE = 1.0E+0 ) INTEGER NTESTS PARAMETER ( NTESTS = 1 ) * .. * .. Local Scalars .. CHARACTER UPLO, CFORM, TRANS INTEGER I, IFORM, IIK, IIN, INFO, IUPLO, J, K, N, + NFAIL, NRUN, IALPHA, ITRANS REAL ALPHA, BETA, EPS, NORMA, NORMC * .. * .. Local Arrays .. CHARACTER UPLOS( 2 ), FORMS( 2 ), TRANSS( 2 ) INTEGER ISEED( 4 ), ISEEDY( 4 ) REAL RESULT( NTESTS ) * .. * .. External Functions .. REAL SLAMCH, SLARND, SLANGE EXTERNAL SLAMCH, SLARND, SLANGE * .. * .. External Subroutines .. EXTERNAL SSYRK, SSFRK, STFTTR, STRTTF * .. * .. Intrinsic Functions .. INTRINSIC ABS, MAX * .. * .. Scalars in Common .. CHARACTER*32 SRNAMT * .. * .. Common blocks .. COMMON / SRNAMC / SRNAMT * .. * .. Data statements .. DATA ISEEDY / 1988, 1989, 1990, 1991 / DATA UPLOS / 'U', 'L' / DATA FORMS / 'N', 'T' / DATA TRANSS / 'N', 'T' / * .. * .. Executable Statements .. * * Initialize constants and the random number seed. * NRUN = 0 NFAIL = 0 INFO = 0 DO 10 I = 1, 4 ISEED( I ) = ISEEDY( I ) 10 CONTINUE EPS = SLAMCH( 'Precision' ) * DO 150 IIN = 1, NN * N = NVAL( IIN ) * DO 140 IIK = 1, NN * K = NVAL( IIN ) * DO 130 IFORM = 1, 2 * CFORM = FORMS( IFORM ) * DO 120 IUPLO = 1, 2 * UPLO = UPLOS( IUPLO ) * DO 110 ITRANS = 1, 2 * TRANS = TRANSS( ITRANS ) * DO 100 IALPHA = 1, 4 * IF ( IALPHA.EQ. 1) THEN ALPHA = ZERO BETA = ZERO ELSE IF ( IALPHA.EQ. 2) THEN ALPHA = ONE BETA = ZERO ELSE IF ( IALPHA.EQ. 3) THEN ALPHA = ZERO BETA = ONE ELSE ALPHA = SLARND( 2, ISEED ) BETA = SLARND( 2, ISEED ) END IF * * All the parameters are set: * CFORM, UPLO, TRANS, M, N, * ALPHA, and BETA * READY TO TEST! * NRUN = NRUN + 1 * IF ( ITRANS.EQ.1 ) THEN * * In this case we are NOTRANS, so A is N-by-K * DO J = 1, K DO I = 1, N A( I, J) = SLARND( 2, ISEED ) END DO END DO * NORMA = SLANGE( 'I', N, K, A, LDA, + S_WORK_SLANGE ) * ELSE * * In this case we are TRANS, so A is K-by-N * DO J = 1,N DO I = 1, K A( I, J) = SLARND( 2, ISEED ) END DO END DO * NORMA = SLANGE( 'I', K, N, A, LDA, + S_WORK_SLANGE ) * END IF * * Generate C1 our N--by--N symmetric matrix. * Make sure C2 has the same upper/lower part, * (the one that we do not touch), so * copy the initial C1 in C2 in it. * DO J = 1, N DO I = 1, N C1( I, J) = SLARND( 2, ISEED ) C2(I,J) = C1(I,J) END DO END DO * * (See comment later on for why we use SLANGE and * not SLANSY for C1.) * NORMC = SLANGE( 'I', N, N, C1, LDC, + S_WORK_SLANGE ) * SRNAMT = 'STRTTF' CALL STRTTF( CFORM, UPLO, N, C1, LDC, CRF, + INFO ) * * call ssyrk the BLAS routine -> gives C1 * SRNAMT = 'SSYRK ' CALL SSYRK( UPLO, TRANS, N, K, ALPHA, A, LDA, + BETA, C1, LDC ) * * call ssfrk the RFP routine -> gives CRF * SRNAMT = 'SSFRK ' CALL SSFRK( CFORM, UPLO, TRANS, N, K, ALPHA, A, + LDA, BETA, CRF ) * * convert CRF in full format -> gives C2 * SRNAMT = 'STFTTR' CALL STFTTR( CFORM, UPLO, N, CRF, C2, LDC, + INFO ) * * compare C1 and C2 * DO J = 1, N DO I = 1, N C1(I,J) = C1(I,J)-C2(I,J) END DO END DO * * Yes, C1 is symmetric so we could call SLANSY, * but we want to check the upper part that is * supposed to be unchanged and the diagonal that * is supposed to be real -> SLANGE * RESULT(1) = SLANGE( 'I', N, N, C1, LDC, + S_WORK_SLANGE ) RESULT(1) = RESULT(1) + / MAX( ABS( ALPHA ) * NORMA + + ABS( BETA ) , ONE ) + / MAX( N , 1 ) / EPS * IF( RESULT(1).GE.THRESH ) THEN IF( NFAIL.EQ.0 ) THEN WRITE( NOUT, * ) WRITE( NOUT, FMT = 9999 ) END IF WRITE( NOUT, FMT = 9997 ) 'SSFRK', + CFORM, UPLO, TRANS, N, K, RESULT(1) NFAIL = NFAIL + 1 END IF * 100 CONTINUE 110 CONTINUE 120 CONTINUE 130 CONTINUE 140 CONTINUE 150 CONTINUE * * Print a summary of the results. * IF ( NFAIL.EQ.0 ) THEN WRITE( NOUT, FMT = 9996 ) 'SSFRK', NRUN ELSE WRITE( NOUT, FMT = 9995 ) 'SSFRK', NFAIL, NRUN END IF * 9999 FORMAT( 1X, ' *** Error(s) or Failure(s) while testing SSFRK + ***') 9997 FORMAT( 1X, ' Failure in ',A5,', CFORM=''',A1,''',', + ' UPLO=''',A1,''',',' TRANS=''',A1,''',', ' N=',I3,', K =', I3, + ', test=',G12.5) 9996 FORMAT( 1X, 'All tests for ',A5,' auxiliary routine passed the ', + 'threshold (',I5,' tests run)') 9995 FORMAT( 1X, A6, ' auxiliary routine:',I5,' out of ',I5, + ' tests failed to pass the threshold') * RETURN * * End of SDRVRF4 * END |