00001 SUBROUTINE SGET37( RMAX, LMAX, NINFO, KNT, NIN )
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00008 INTEGER KNT, NIN
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00010
00011 INTEGER LMAX( 3 ), NINFO( 3 )
00012 REAL RMAX( 3 )
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00056 REAL ZERO, ONE, TWO
00057 PARAMETER ( ZERO = 0.0E0, ONE = 1.0E0, TWO = 2.0E0 )
00058 REAL EPSIN
00059 PARAMETER ( EPSIN = 5.9605E-8 )
00060 INTEGER LDT, LWORK
00061 PARAMETER ( LDT = 20, LWORK = 2*LDT*( 10+LDT ) )
00062
00063
00064 INTEGER I, ICMP, IFND, INFO, ISCL, J, KMIN, M, N
00065 REAL BIGNUM, EPS, SMLNUM, TNRM, TOL, TOLIN, V,
00066 $ VIMIN, VMAX, VMUL, VRMIN
00067
00068
00069 LOGICAL SELECT( LDT )
00070 INTEGER IWORK( 2*LDT ), LCMP( 3 )
00071 REAL DUM( 1 ), LE( LDT, LDT ), RE( LDT, LDT ),
00072 $ S( LDT ), SEP( LDT ), SEPIN( LDT ),
00073 $ SEPTMP( LDT ), SIN( LDT ), STMP( LDT ),
00074 $ T( LDT, LDT ), TMP( LDT, LDT ), VAL( 3 ),
00075 $ WI( LDT ), WIIN( LDT ), WITMP( LDT ),
00076 $ WORK( LWORK ), WR( LDT ), WRIN( LDT ),
00077 $ WRTMP( LDT )
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00079
00080 REAL SLAMCH, SLANGE
00081 EXTERNAL SLAMCH, SLANGE
00082
00083
00084 EXTERNAL SCOPY, SGEHRD, SHSEQR, SLABAD, SLACPY, SSCAL,
00085 $ STREVC, STRSNA
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00087
00088 INTRINSIC MAX, REAL, SQRT
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00090
00091
00092 EPS = SLAMCH( 'P' )
00093 SMLNUM = SLAMCH( 'S' ) / EPS
00094 BIGNUM = ONE / SMLNUM
00095 CALL SLABAD( SMLNUM, BIGNUM )
00096
00097
00098
00099 EPS = MAX( EPS, EPSIN )
00100 RMAX( 1 ) = ZERO
00101 RMAX( 2 ) = ZERO
00102 RMAX( 3 ) = ZERO
00103 LMAX( 1 ) = 0
00104 LMAX( 2 ) = 0
00105 LMAX( 3 ) = 0
00106 KNT = 0
00107 NINFO( 1 ) = 0
00108 NINFO( 2 ) = 0
00109 NINFO( 3 ) = 0
00110
00111 VAL( 1 ) = SQRT( SMLNUM )
00112 VAL( 2 ) = ONE
00113 VAL( 3 ) = SQRT( BIGNUM )
00114
00115
00116
00117
00118
00119 10 CONTINUE
00120 READ( NIN, FMT = * )N
00121 IF( N.EQ.0 )
00122 $ RETURN
00123 DO 20 I = 1, N
00124 READ( NIN, FMT = * )( TMP( I, J ), J = 1, N )
00125 20 CONTINUE
00126 DO 30 I = 1, N
00127 READ( NIN, FMT = * )WRIN( I ), WIIN( I ), SIN( I ), SEPIN( I )
00128 30 CONTINUE
00129 TNRM = SLANGE( 'M', N, N, TMP, LDT, WORK )
00130
00131
00132
00133 DO 240 ISCL = 1, 3
00134
00135
00136
00137 KNT = KNT + 1
00138 CALL SLACPY( 'F', N, N, TMP, LDT, T, LDT )
00139 VMUL = VAL( ISCL )
00140 DO 40 I = 1, N
00141 CALL SSCAL( N, VMUL, T( 1, I ), 1 )
00142 40 CONTINUE
00143 IF( TNRM.EQ.ZERO )
00144 $ VMUL = ONE
00145
00146
00147
00148 CALL SGEHRD( N, 1, N, T, LDT, WORK( 1 ), WORK( N+1 ), LWORK-N,
00149 $ INFO )
00150 IF( INFO.NE.0 ) THEN
00151 LMAX( 1 ) = KNT
00152 NINFO( 1 ) = NINFO( 1 ) + 1
00153 GO TO 240
00154 END IF
00155 DO 60 J = 1, N - 2
00156 DO 50 I = J + 2, N
00157 T( I, J ) = ZERO
00158 50 CONTINUE
00159 60 CONTINUE
00160
00161
00162
00163 CALL SHSEQR( 'S', 'N', N, 1, N, T, LDT, WR, WI, DUM, 1, WORK,
00164 $ LWORK, INFO )
00165 IF( INFO.NE.0 ) THEN
00166 LMAX( 2 ) = KNT
00167 NINFO( 2 ) = NINFO( 2 ) + 1
00168 GO TO 240
00169 END IF
00170
00171
00172
00173 CALL STREVC( 'Both', 'All', SELECT, N, T, LDT, LE, LDT, RE,
00174 $ LDT, N, M, WORK, INFO )
00175
00176
00177
00178 CALL STRSNA( 'Both', 'All', SELECT, N, T, LDT, LE, LDT, RE,
00179 $ LDT, S, SEP, N, M, WORK, N, IWORK, INFO )
00180 IF( INFO.NE.0 ) THEN
00181 LMAX( 3 ) = KNT
00182 NINFO( 3 ) = NINFO( 3 ) + 1
00183 GO TO 240
00184 END IF
00185
00186
00187
00188
00189 CALL SCOPY( N, WR, 1, WRTMP, 1 )
00190 CALL SCOPY( N, WI, 1, WITMP, 1 )
00191 CALL SCOPY( N, S, 1, STMP, 1 )
00192 CALL SCOPY( N, SEP, 1, SEPTMP, 1 )
00193 CALL SSCAL( N, ONE / VMUL, SEPTMP, 1 )
00194 DO 80 I = 1, N - 1
00195 KMIN = I
00196 VRMIN = WRTMP( I )
00197 VIMIN = WITMP( I )
00198 DO 70 J = I + 1, N
00199 IF( WRTMP( J ).LT.VRMIN ) THEN
00200 KMIN = J
00201 VRMIN = WRTMP( J )
00202 VIMIN = WITMP( J )
00203 END IF
00204 70 CONTINUE
00205 WRTMP( KMIN ) = WRTMP( I )
00206 WITMP( KMIN ) = WITMP( I )
00207 WRTMP( I ) = VRMIN
00208 WITMP( I ) = VIMIN
00209 VRMIN = STMP( KMIN )
00210 STMP( KMIN ) = STMP( I )
00211 STMP( I ) = VRMIN
00212 VRMIN = SEPTMP( KMIN )
00213 SEPTMP( KMIN ) = SEPTMP( I )
00214 SEPTMP( I ) = VRMIN
00215 80 CONTINUE
00216
00217
00218
00219
00220 V = MAX( TWO*REAL( N )*EPS*TNRM, SMLNUM )
00221 IF( TNRM.EQ.ZERO )
00222 $ V = ONE
00223 DO 90 I = 1, N
00224 IF( V.GT.SEPTMP( I ) ) THEN
00225 TOL = ONE
00226 ELSE
00227 TOL = V / SEPTMP( I )
00228 END IF
00229 IF( V.GT.SEPIN( I ) ) THEN
00230 TOLIN = ONE
00231 ELSE
00232 TOLIN = V / SEPIN( I )
00233 END IF
00234 TOL = MAX( TOL, SMLNUM / EPS )
00235 TOLIN = MAX( TOLIN, SMLNUM / EPS )
00236 IF( EPS*( SIN( I )-TOLIN ).GT.STMP( I )+TOL ) THEN
00237 VMAX = ONE / EPS
00238 ELSE IF( SIN( I )-TOLIN.GT.STMP( I )+TOL ) THEN
00239 VMAX = ( SIN( I )-TOLIN ) / ( STMP( I )+TOL )
00240 ELSE IF( SIN( I )+TOLIN.LT.EPS*( STMP( I )-TOL ) ) THEN
00241 VMAX = ONE / EPS
00242 ELSE IF( SIN( I )+TOLIN.LT.STMP( I )-TOL ) THEN
00243 VMAX = ( STMP( I )-TOL ) / ( SIN( I )+TOLIN )
00244 ELSE
00245 VMAX = ONE
00246 END IF
00247 IF( VMAX.GT.RMAX( 2 ) ) THEN
00248 RMAX( 2 ) = VMAX
00249 IF( NINFO( 2 ).EQ.0 )
00250 $ LMAX( 2 ) = KNT
00251 END IF
00252 90 CONTINUE
00253
00254
00255
00256
00257 DO 100 I = 1, N
00258 IF( V.GT.SEPTMP( I )*STMP( I ) ) THEN
00259 TOL = SEPTMP( I )
00260 ELSE
00261 TOL = V / STMP( I )
00262 END IF
00263 IF( V.GT.SEPIN( I )*SIN( I ) ) THEN
00264 TOLIN = SEPIN( I )
00265 ELSE
00266 TOLIN = V / SIN( I )
00267 END IF
00268 TOL = MAX( TOL, SMLNUM / EPS )
00269 TOLIN = MAX( TOLIN, SMLNUM / EPS )
00270 IF( EPS*( SEPIN( I )-TOLIN ).GT.SEPTMP( I )+TOL ) THEN
00271 VMAX = ONE / EPS
00272 ELSE IF( SEPIN( I )-TOLIN.GT.SEPTMP( I )+TOL ) THEN
00273 VMAX = ( SEPIN( I )-TOLIN ) / ( SEPTMP( I )+TOL )
00274 ELSE IF( SEPIN( I )+TOLIN.LT.EPS*( SEPTMP( I )-TOL ) ) THEN
00275 VMAX = ONE / EPS
00276 ELSE IF( SEPIN( I )+TOLIN.LT.SEPTMP( I )-TOL ) THEN
00277 VMAX = ( SEPTMP( I )-TOL ) / ( SEPIN( I )+TOLIN )
00278 ELSE
00279 VMAX = ONE
00280 END IF
00281 IF( VMAX.GT.RMAX( 2 ) ) THEN
00282 RMAX( 2 ) = VMAX
00283 IF( NINFO( 2 ).EQ.0 )
00284 $ LMAX( 2 ) = KNT
00285 END IF
00286 100 CONTINUE
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00289
00290
00291 DO 110 I = 1, N
00292 IF( SIN( I ).LE.REAL( 2*N )*EPS .AND. STMP( I ).LE.
00293 $ REAL( 2*N )*EPS ) THEN
00294 VMAX = ONE
00295 ELSE IF( EPS*SIN( I ).GT.STMP( I ) ) THEN
00296 VMAX = ONE / EPS
00297 ELSE IF( SIN( I ).GT.STMP( I ) ) THEN
00298 VMAX = SIN( I ) / STMP( I )
00299 ELSE IF( SIN( I ).LT.EPS*STMP( I ) ) THEN
00300 VMAX = ONE / EPS
00301 ELSE IF( SIN( I ).LT.STMP( I ) ) THEN
00302 VMAX = STMP( I ) / SIN( I )
00303 ELSE
00304 VMAX = ONE
00305 END IF
00306 IF( VMAX.GT.RMAX( 3 ) ) THEN
00307 RMAX( 3 ) = VMAX
00308 IF( NINFO( 3 ).EQ.0 )
00309 $ LMAX( 3 ) = KNT
00310 END IF
00311 110 CONTINUE
00312
00313
00314
00315
00316 DO 120 I = 1, N
00317 IF( SEPIN( I ).LE.V .AND. SEPTMP( I ).LE.V ) THEN
00318 VMAX = ONE
00319 ELSE IF( EPS*SEPIN( I ).GT.SEPTMP( I ) ) THEN
00320 VMAX = ONE / EPS
00321 ELSE IF( SEPIN( I ).GT.SEPTMP( I ) ) THEN
00322 VMAX = SEPIN( I ) / SEPTMP( I )
00323 ELSE IF( SEPIN( I ).LT.EPS*SEPTMP( I ) ) THEN
00324 VMAX = ONE / EPS
00325 ELSE IF( SEPIN( I ).LT.SEPTMP( I ) ) THEN
00326 VMAX = SEPTMP( I ) / SEPIN( I )
00327 ELSE
00328 VMAX = ONE
00329 END IF
00330 IF( VMAX.GT.RMAX( 3 ) ) THEN
00331 RMAX( 3 ) = VMAX
00332 IF( NINFO( 3 ).EQ.0 )
00333 $ LMAX( 3 ) = KNT
00334 END IF
00335 120 CONTINUE
00336
00337
00338
00339 VMAX = ZERO
00340 DUM( 1 ) = -ONE
00341 CALL SCOPY( N, DUM, 0, STMP, 1 )
00342 CALL SCOPY( N, DUM, 0, SEPTMP, 1 )
00343 CALL STRSNA( 'Eigcond', 'All', SELECT, N, T, LDT, LE, LDT, RE,
00344 $ LDT, STMP, SEPTMP, N, M, WORK, N, IWORK, INFO )
00345 IF( INFO.NE.0 ) THEN
00346 LMAX( 3 ) = KNT
00347 NINFO( 3 ) = NINFO( 3 ) + 1
00348 GO TO 240
00349 END IF
00350 DO 130 I = 1, N
00351 IF( STMP( I ).NE.S( I ) )
00352 $ VMAX = ONE / EPS
00353 IF( SEPTMP( I ).NE.DUM( 1 ) )
00354 $ VMAX = ONE / EPS
00355 130 CONTINUE
00356
00357
00358
00359 CALL SCOPY( N, DUM, 0, STMP, 1 )
00360 CALL SCOPY( N, DUM, 0, SEPTMP, 1 )
00361 CALL STRSNA( 'Veccond', 'All', SELECT, N, T, LDT, LE, LDT, RE,
00362 $ LDT, STMP, SEPTMP, N, M, WORK, N, IWORK, INFO )
00363 IF( INFO.NE.0 ) THEN
00364 LMAX( 3 ) = KNT
00365 NINFO( 3 ) = NINFO( 3 ) + 1
00366 GO TO 240
00367 END IF
00368 DO 140 I = 1, N
00369 IF( STMP( I ).NE.DUM( 1 ) )
00370 $ VMAX = ONE / EPS
00371 IF( SEPTMP( I ).NE.SEP( I ) )
00372 $ VMAX = ONE / EPS
00373 140 CONTINUE
00374
00375
00376
00377 DO 150 I = 1, N
00378 SELECT( I ) = .TRUE.
00379 150 CONTINUE
00380 CALL SCOPY( N, DUM, 0, STMP, 1 )
00381 CALL SCOPY( N, DUM, 0, SEPTMP, 1 )
00382 CALL STRSNA( 'Bothcond', 'Some', SELECT, N, T, LDT, LE, LDT,
00383 $ RE, LDT, STMP, SEPTMP, N, M, WORK, N, IWORK,
00384 $ INFO )
00385 IF( INFO.NE.0 ) THEN
00386 LMAX( 3 ) = KNT
00387 NINFO( 3 ) = NINFO( 3 ) + 1
00388 GO TO 240
00389 END IF
00390 DO 160 I = 1, N
00391 IF( SEPTMP( I ).NE.SEP( I ) )
00392 $ VMAX = ONE / EPS
00393 IF( STMP( I ).NE.S( I ) )
00394 $ VMAX = ONE / EPS
00395 160 CONTINUE
00396
00397
00398
00399 CALL SCOPY( N, DUM, 0, STMP, 1 )
00400 CALL SCOPY( N, DUM, 0, SEPTMP, 1 )
00401 CALL STRSNA( 'Eigcond', 'Some', SELECT, N, T, LDT, LE, LDT, RE,
00402 $ LDT, STMP, SEPTMP, N, M, WORK, N, IWORK, INFO )
00403 IF( INFO.NE.0 ) THEN
00404 LMAX( 3 ) = KNT
00405 NINFO( 3 ) = NINFO( 3 ) + 1
00406 GO TO 240
00407 END IF
00408 DO 170 I = 1, N
00409 IF( STMP( I ).NE.S( I ) )
00410 $ VMAX = ONE / EPS
00411 IF( SEPTMP( I ).NE.DUM( 1 ) )
00412 $ VMAX = ONE / EPS
00413 170 CONTINUE
00414
00415
00416
00417 CALL SCOPY( N, DUM, 0, STMP, 1 )
00418 CALL SCOPY( N, DUM, 0, SEPTMP, 1 )
00419 CALL STRSNA( 'Veccond', 'Some', SELECT, N, T, LDT, LE, LDT, RE,
00420 $ LDT, STMP, SEPTMP, N, M, WORK, N, IWORK, INFO )
00421 IF( INFO.NE.0 ) THEN
00422 LMAX( 3 ) = KNT
00423 NINFO( 3 ) = NINFO( 3 ) + 1
00424 GO TO 240
00425 END IF
00426 DO 180 I = 1, N
00427 IF( STMP( I ).NE.DUM( 1 ) )
00428 $ VMAX = ONE / EPS
00429 IF( SEPTMP( I ).NE.SEP( I ) )
00430 $ VMAX = ONE / EPS
00431 180 CONTINUE
00432 IF( VMAX.GT.RMAX( 1 ) ) THEN
00433 RMAX( 1 ) = VMAX
00434 IF( NINFO( 1 ).EQ.0 )
00435 $ LMAX( 1 ) = KNT
00436 END IF
00437
00438
00439
00440 IF( WI( 1 ).EQ.ZERO ) THEN
00441 LCMP( 1 ) = 1
00442 IFND = 0
00443 DO 190 I = 2, N
00444 IF( IFND.EQ.1 .OR. WI( I ).EQ.ZERO ) THEN
00445 SELECT( I ) = .FALSE.
00446 ELSE
00447 IFND = 1
00448 LCMP( 2 ) = I
00449 LCMP( 3 ) = I + 1
00450 CALL SCOPY( N, RE( 1, I ), 1, RE( 1, 2 ), 1 )
00451 CALL SCOPY( N, RE( 1, I+1 ), 1, RE( 1, 3 ), 1 )
00452 CALL SCOPY( N, LE( 1, I ), 1, LE( 1, 2 ), 1 )
00453 CALL SCOPY( N, LE( 1, I+1 ), 1, LE( 1, 3 ), 1 )
00454 END IF
00455 190 CONTINUE
00456 IF( IFND.EQ.0 ) THEN
00457 ICMP = 1
00458 ELSE
00459 ICMP = 3
00460 END IF
00461 ELSE
00462 LCMP( 1 ) = 1
00463 LCMP( 2 ) = 2
00464 IFND = 0
00465 DO 200 I = 3, N
00466 IF( IFND.EQ.1 .OR. WI( I ).NE.ZERO ) THEN
00467 SELECT( I ) = .FALSE.
00468 ELSE
00469 LCMP( 3 ) = I
00470 IFND = 1
00471 CALL SCOPY( N, RE( 1, I ), 1, RE( 1, 3 ), 1 )
00472 CALL SCOPY( N, LE( 1, I ), 1, LE( 1, 3 ), 1 )
00473 END IF
00474 200 CONTINUE
00475 IF( IFND.EQ.0 ) THEN
00476 ICMP = 2
00477 ELSE
00478 ICMP = 3
00479 END IF
00480 END IF
00481
00482
00483
00484 CALL SCOPY( ICMP, DUM, 0, STMP, 1 )
00485 CALL SCOPY( ICMP, DUM, 0, SEPTMP, 1 )
00486 CALL STRSNA( 'Bothcond', 'Some', SELECT, N, T, LDT, LE, LDT,
00487 $ RE, LDT, STMP, SEPTMP, N, M, WORK, N, IWORK,
00488 $ INFO )
00489 IF( INFO.NE.0 ) THEN
00490 LMAX( 3 ) = KNT
00491 NINFO( 3 ) = NINFO( 3 ) + 1
00492 GO TO 240
00493 END IF
00494 DO 210 I = 1, ICMP
00495 J = LCMP( I )
00496 IF( SEPTMP( I ).NE.SEP( J ) )
00497 $ VMAX = ONE / EPS
00498 IF( STMP( I ).NE.S( J ) )
00499 $ VMAX = ONE / EPS
00500 210 CONTINUE
00501
00502
00503
00504 CALL SCOPY( ICMP, DUM, 0, STMP, 1 )
00505 CALL SCOPY( ICMP, DUM, 0, SEPTMP, 1 )
00506 CALL STRSNA( 'Eigcond', 'Some', SELECT, N, T, LDT, LE, LDT, RE,
00507 $ LDT, STMP, SEPTMP, N, M, WORK, N, IWORK, INFO )
00508 IF( INFO.NE.0 ) THEN
00509 LMAX( 3 ) = KNT
00510 NINFO( 3 ) = NINFO( 3 ) + 1
00511 GO TO 240
00512 END IF
00513 DO 220 I = 1, ICMP
00514 J = LCMP( I )
00515 IF( STMP( I ).NE.S( J ) )
00516 $ VMAX = ONE / EPS
00517 IF( SEPTMP( I ).NE.DUM( 1 ) )
00518 $ VMAX = ONE / EPS
00519 220 CONTINUE
00520
00521
00522
00523 CALL SCOPY( ICMP, DUM, 0, STMP, 1 )
00524 CALL SCOPY( ICMP, DUM, 0, SEPTMP, 1 )
00525 CALL STRSNA( 'Veccond', 'Some', SELECT, N, T, LDT, LE, LDT, RE,
00526 $ LDT, STMP, SEPTMP, N, M, WORK, N, IWORK, INFO )
00527 IF( INFO.NE.0 ) THEN
00528 LMAX( 3 ) = KNT
00529 NINFO( 3 ) = NINFO( 3 ) + 1
00530 GO TO 240
00531 END IF
00532 DO 230 I = 1, ICMP
00533 J = LCMP( I )
00534 IF( STMP( I ).NE.DUM( 1 ) )
00535 $ VMAX = ONE / EPS
00536 IF( SEPTMP( I ).NE.SEP( J ) )
00537 $ VMAX = ONE / EPS
00538 230 CONTINUE
00539 IF( VMAX.GT.RMAX( 1 ) ) THEN
00540 RMAX( 1 ) = VMAX
00541 IF( NINFO( 1 ).EQ.0 )
00542 $ LMAX( 1 ) = KNT
00543 END IF
00544 240 CONTINUE
00545 GO TO 10
00546
00547
00548
00549 END