1*> \brief \b SDRVRF1 2* 3* =========== DOCUMENTATION =========== 4* 5* Online html documentation available at 6* http://www.netlib.org/lapack/explore-html/ 7* 8* Definition: 9* =========== 10* 11* SUBROUTINE SDRVRF1( NOUT, NN, NVAL, THRESH, A, LDA, ARF, WORK ) 12* 13* .. Scalar Arguments .. 14* INTEGER LDA, NN, NOUT 15* REAL THRESH 16* .. 17* .. Array Arguments .. 18* INTEGER NVAL( NN ) 19* REAL A( LDA, * ), ARF( * ), WORK( * ) 20* .. 21* 22* 23*> \par Purpose: 24* ============= 25*> 26*> \verbatim 27*> 28*> SDRVRF1 tests the LAPACK RFP routines: 29*> SLANSF 30*> \endverbatim 31* 32* Arguments: 33* ========== 34* 35*> \param[in] NOUT 36*> \verbatim 37*> NOUT is INTEGER 38*> The unit number for output. 39*> \endverbatim 40*> 41*> \param[in] NN 42*> \verbatim 43*> NN is INTEGER 44*> The number of values of N contained in the vector NVAL. 45*> \endverbatim 46*> 47*> \param[in] NVAL 48*> \verbatim 49*> NVAL is INTEGER array, dimension (NN) 50*> The values of the matrix dimension N. 51*> \endverbatim 52*> 53*> \param[in] THRESH 54*> \verbatim 55*> THRESH is REAL 56*> The threshold value for the test ratios. A result is 57*> included in the output file if RESULT >= THRESH. To have 58*> every test ratio printed, use THRESH = 0. 59*> \endverbatim 60*> 61*> \param[out] A 62*> \verbatim 63*> A is REAL array, dimension (LDA,NMAX) 64*> \endverbatim 65*> 66*> \param[in] LDA 67*> \verbatim 68*> LDA is INTEGER 69*> The leading dimension of the array A. LDA >= max(1,NMAX). 70*> \endverbatim 71*> 72*> \param[out] ARF 73*> \verbatim 74*> ARF is REAL array, dimension ((NMAX*(NMAX+1))/2). 75*> \endverbatim 76*> 77*> \param[out] WORK 78*> \verbatim 79*> WORK is REAL array, dimension ( NMAX ) 80*> \endverbatim 81* 82* Authors: 83* ======== 84* 85*> \author Univ. of Tennessee 86*> \author Univ. of California Berkeley 87*> \author Univ. of Colorado Denver 88*> \author NAG Ltd. 89* 90*> \date December 2016 91* 92*> \ingroup single_lin 93* 94* ===================================================================== 95 SUBROUTINE SDRVRF1( NOUT, NN, NVAL, THRESH, A, LDA, ARF, WORK ) 96* 97* -- LAPACK test routine (version 3.7.0) -- 98* -- LAPACK is a software package provided by Univ. of Tennessee, -- 99* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- 100* December 2016 101* 102* .. Scalar Arguments .. 103 INTEGER LDA, NN, NOUT 104 REAL THRESH 105* .. 106* .. Array Arguments .. 107 INTEGER NVAL( NN ) 108 REAL A( LDA, * ), ARF( * ), WORK( * ) 109* .. 110* 111* ===================================================================== 112* .. 113* .. Parameters .. 114 REAL ONE 115 PARAMETER ( ONE = 1.0E+0 ) 116 INTEGER NTESTS 117 PARAMETER ( NTESTS = 1 ) 118* .. 119* .. Local Scalars .. 120 CHARACTER UPLO, CFORM, NORM 121 INTEGER I, IFORM, IIN, IIT, INFO, INORM, IUPLO, J, N, 122 + NERRS, NFAIL, NRUN 123 REAL EPS, LARGE, NORMA, NORMARF, SMALL 124* .. 125* .. Local Arrays .. 126 CHARACTER UPLOS( 2 ), FORMS( 2 ), NORMS( 4 ) 127 INTEGER ISEED( 4 ), ISEEDY( 4 ) 128 REAL RESULT( NTESTS ) 129* .. 130* .. External Functions .. 131 REAL SLAMCH, SLANSY, SLANSF, SLARND 132 EXTERNAL SLAMCH, SLANSY, SLANSF, SLARND 133* .. 134* .. External Subroutines .. 135 EXTERNAL STRTTF 136* .. 137* .. Scalars in Common .. 138 CHARACTER*32 SRNAMT 139* .. 140* .. Common blocks .. 141 COMMON / SRNAMC / SRNAMT 142* .. 143* .. Data statements .. 144 DATA ISEEDY / 1988, 1989, 1990, 1991 / 145 DATA UPLOS / 'U', 'L' / 146 DATA FORMS / 'N', 'T' / 147 DATA NORMS / 'M', '1', 'I', 'F' / 148* .. 149* .. Executable Statements .. 150* 151* Initialize constants and the random number seed. 152* 153 NRUN = 0 154 NFAIL = 0 155 NERRS = 0 156 INFO = 0 157 DO 10 I = 1, 4 158 ISEED( I ) = ISEEDY( I ) 159 10 CONTINUE 160* 161 EPS = SLAMCH( 'Precision' ) 162 SMALL = SLAMCH( 'Safe minimum' ) 163 LARGE = ONE / SMALL 164 SMALL = SMALL * LDA * LDA 165 LARGE = LARGE / LDA / LDA 166* 167 DO 130 IIN = 1, NN 168* 169 N = NVAL( IIN ) 170* 171 DO 120 IIT = 1, 3 172* Nothing to do for N=0 173 IF ( N .EQ. 0 ) EXIT 174 175* Quick Return if possible 176 IF ( N .EQ. 0 ) EXIT 177* 178* IIT = 1 : random matrix 179* IIT = 2 : random matrix scaled near underflow 180* IIT = 3 : random matrix scaled near overflow 181* 182 DO J = 1, N 183 DO I = 1, N 184 A( I, J) = SLARND( 2, ISEED ) 185 END DO 186 END DO 187* 188 IF ( IIT.EQ.2 ) THEN 189 DO J = 1, N 190 DO I = 1, N 191 A( I, J) = A( I, J ) * LARGE 192 END DO 193 END DO 194 END IF 195* 196 IF ( IIT.EQ.3 ) THEN 197 DO J = 1, N 198 DO I = 1, N 199 A( I, J) = A( I, J) * SMALL 200 END DO 201 END DO 202 END IF 203* 204* Do first for UPLO = 'U', then for UPLO = 'L' 205* 206 DO 110 IUPLO = 1, 2 207* 208 UPLO = UPLOS( IUPLO ) 209* 210* Do first for CFORM = 'N', then for CFORM = 'C' 211* 212 DO 100 IFORM = 1, 2 213* 214 CFORM = FORMS( IFORM ) 215* 216 SRNAMT = 'STRTTF' 217 CALL STRTTF( CFORM, UPLO, N, A, LDA, ARF, INFO ) 218* 219* Check error code from STRTTF 220* 221 IF( INFO.NE.0 ) THEN 222 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) THEN 223 WRITE( NOUT, * ) 224 WRITE( NOUT, FMT = 9999 ) 225 END IF 226 WRITE( NOUT, FMT = 9998 ) SRNAMT, UPLO, CFORM, N 227 NERRS = NERRS + 1 228 GO TO 100 229 END IF 230* 231 DO 90 INORM = 1, 4 232* 233* Check all four norms: 'M', '1', 'I', 'F' 234* 235 NORM = NORMS( INORM ) 236 NORMARF = SLANSF( NORM, CFORM, UPLO, N, ARF, WORK ) 237 NORMA = SLANSY( NORM, UPLO, N, A, LDA, WORK ) 238* 239 RESULT(1) = ( NORMA - NORMARF ) / NORMA / EPS 240 NRUN = NRUN + 1 241* 242 IF( RESULT(1).GE.THRESH ) THEN 243 IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) THEN 244 WRITE( NOUT, * ) 245 WRITE( NOUT, FMT = 9999 ) 246 END IF 247 WRITE( NOUT, FMT = 9997 ) 'SLANSF', 248 + N, IIT, UPLO, CFORM, NORM, RESULT(1) 249 NFAIL = NFAIL + 1 250 END IF 251 90 CONTINUE 252 100 CONTINUE 253 110 CONTINUE 254 120 CONTINUE 255 130 CONTINUE 256* 257* Print a summary of the results. 258* 259 IF ( NFAIL.EQ.0 ) THEN 260 WRITE( NOUT, FMT = 9996 ) 'SLANSF', NRUN 261 ELSE 262 WRITE( NOUT, FMT = 9995 ) 'SLANSF', NFAIL, NRUN 263 END IF 264 IF ( NERRS.NE.0 ) THEN 265 WRITE( NOUT, FMT = 9994 ) NERRS, 'SLANSF' 266 END IF 267* 268 9999 FORMAT( 1X, ' *** Error(s) or Failure(s) while testing SLANSF 269 + ***') 270 9998 FORMAT( 1X, ' Error in ',A6,' with UPLO=''',A1,''', FORM=''', 271 + A1,''', N=',I5) 272 9997 FORMAT( 1X, ' Failure in ',A6,' N=',I5,' TYPE=',I5,' UPLO=''', 273 + A1, ''', FORM =''',A1,''', NORM=''',A1,''', test=',G12.5) 274 9996 FORMAT( 1X, 'All tests for ',A6,' auxiliary routine passed the ', 275 + 'threshold ( ',I5,' tests run)') 276 9995 FORMAT( 1X, A6, ' auxiliary routine: ',I5,' out of ',I5, 277 + ' tests failed to pass the threshold') 278 9994 FORMAT( 26X, I5,' error message recorded (',A6,')') 279* 280 RETURN 281* 282* End of SDRVRF1 283* 284 END 285