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PDSYGVX(l) ) PDSYGVX(l)

SUBROUTINE PDSYGVX(
IBTYPE, JOBZ, RANGE, UPLO, N, A, IA, JA, DESCA, B, IB, JB, DESCB, VL, VU, IL, IU, ABSTOL, M, NZ, W, ORFAC, Z, IZ, JZ, DESCZ, WORK, LWORK, IWORK, LIWORK, IFAIL, ICLUSTR, GAP, INFO )
CHARACTER JOBZ, RANGE, UPLO INTEGER IA, IB, IBTYPE, IL, INFO, IU, IZ, JA, JB, JZ, LIWORK, LWORK, M, N, NZ DOUBLE PRECISION ABSTOL, ORFAC, VL, VU INTEGER DESCA( * ), DESCB( * ), DESCZ( * ), ICLUSTR( * ), IFAIL( * ), IWORK( * ) DOUBLE PRECISION A( * ), B( * ), GAP( * ), W( * ), WORK( * ), Z( * ) INTEGER BLOCK_CYCLIC_2D, DLEN_, DTYPE_, CTXT_, M_, N_, MB_, NB_, RSRC_, CSRC_, LLD_ PARAMETER ( BLOCK_CYCLIC_2D = 1, DLEN_ = 9, DTYPE_ = 1, CTXT_ = 2, M_ = 3, N_ = 4, MB_ = 5, NB_ = 6, RSRC_ = 7, CSRC_ = 8, LLD_ = 9 ) DOUBLE PRECISION ONE PARAMETER ( ONE = 1.0D+0 ) DOUBLE PRECISION FIVE, ZERO PARAMETER ( FIVE = 5.0D+0, ZERO = 0.0D+0 ) INTEGER IERRNPD PARAMETER ( IERRNPD = 16 ) LOGICAL ALLEIG, INDEIG, LQUERY, UPPER, VALEIG, WANTZ CHARACTER TRANS INTEGER ANB, IACOL, IAROW, IBCOL, IBROW, ICOFFA, ICOFFB, ICTXT, IROFFA, IROFFB, LIWMIN, LWMIN, LWOPT, MQ0, MYCOL, MYROW, NB, NEIG, NN, NP0, NPCOL, NPROW, NPS, NQ0, NSYGST_LWOPT, NSYTRD_LWOPT, SQNPC DOUBLE PRECISION EPS, SCALE INTEGER IDUM1( 5 ), IDUM2( 5 ) LOGICAL LSAME INTEGER ICEIL, INDXG2P, NUMROC, PJLAENV DOUBLE PRECISION PDLAMCH EXTERNAL LSAME, ICEIL, INDXG2P, NUMROC, PJLAENV, PDLAMCH EXTERNAL BLACS_GRIDINFO, CHK1MAT, DGEBR2D, DGEBS2D, DSCAL, PCHK1MAT, PCHK2MAT, PDPOTRF, PDSYEVX, PDSYNGST, PDTRMM, PDTRSM, PXERBLA INTRINSIC ABS, DBLE, ICHAR, INT, MAX, MIN, MOD, SQRT IF( BLOCK_CYCLIC_2D*CSRC_*CTXT_*DLEN_*DTYPE_*LLD_*MB_*M_*NB_*N_* RSRC_.LT.0 )RETURN ICTXT = DESCA( CTXT_ ) CALL BLACS_GRIDINFO( ICTXT, NPROW, NPCOL, MYROW, MYCOL ) INFO = 0 IF( NPROW.EQ.-1 ) THEN INFO = -( 900+CTXT_ ) ELSE IF( DESCA( CTXT_ ).NE.DESCB( CTXT_ ) ) THEN INFO = -( 1300+CTXT_ ) ELSE IF( DESCA( CTXT_ ).NE.DESCZ( CTXT_ ) ) THEN INFO = -( 2600+CTXT_ ) ELSE EPS = PDLAMCH( DESCA( CTXT_ ), 'Precision' ) WANTZ = LSAME( JOBZ, 'V' ) UPPER = LSAME( UPLO, 'U' ) ALLEIG = LSAME( RANGE, 'A' ) VALEIG = LSAME( RANGE, 'V' ) INDEIG = LSAME( RANGE, 'I' ) CALL CHK1MAT( N, 4, N, 4, IA, JA, DESCA, 9, INFO ) CALL CHK1MAT( N, 4, N, 4, IB, JB, DESCB, 13, INFO ) CALL CHK1MAT( N, 4, N, 4, IZ, JZ, DESCZ, 26, INFO ) IF( INFO.EQ.0 ) THEN IF( MYROW.EQ.0 .AND. MYCOL.EQ.0 ) THEN WORK( 1 ) = ABSTOL IF( VALEIG ) THEN WORK( 2 ) = VL WORK( 3 ) = VU ELSE WORK( 2 ) = ZERO WORK( 3 ) = ZERO END IF CALL DGEBS2D( DESCA( CTXT_ ), 'ALL', ' ', 3, 1, WORK, 3 ) ELSE CALL DGEBR2D( DESCA( CTXT_ ), 'ALL', ' ', 3, 1, WORK, 3, 0, 0 ) END IF IAROW = INDXG2P( IA, DESCA( MB_ ), MYROW, DESCA( RSRC_ ), NPROW ) IBROW = INDXG2P( IB, DESCB( MB_ ), MYROW, DESCB( RSRC_ ), NPROW ) IACOL = INDXG2P( JA, DESCA( NB_ ), MYCOL, DESCA( CSRC_ ), NPCOL ) IBCOL = INDXG2P( JB, DESCB( NB_ ), MYCOL, DESCB( CSRC_ ), NPCOL ) IROFFA = MOD( IA-1, DESCA( MB_ ) ) ICOFFA = MOD( JA-1, DESCA( NB_ ) ) IROFFB = MOD( IB-1, DESCB( MB_ ) ) ICOFFB = MOD( JB-1, DESCB( NB_ ) ) LQUERY = .FALSE. IF( LWORK.EQ.-1 .OR. LIWORK.EQ.-1 ) LQUERY = .TRUE. LIWMIN = 6*MAX( N, ( NPROW*NPCOL )+1, 4 ) NB = DESCA( MB_ ) NN = MAX( N, NB, 2 ) NP0 = NUMROC( NN, NB, 0, 0, NPROW ) IF( ( .NOT.WANTZ ) .OR. ( VALEIG .AND. ( .NOT.LQUERY ) ) ) THEN LWMIN = 5*N + MAX( 5*NN, NB*( NP0+1 ) ) IF( WANTZ ) THEN MQ0 = NUMROC( MAX( N, NB, 2 ), NB, 0, 0, NPCOL ) LWOPT = 5*N + MAX( 5*NN, NP0*MQ0+2*NB*NB ) ELSE LWOPT = LWMIN END IF NEIG = 0 ELSE IF( ALLEIG .OR. VALEIG ) THEN NEIG = N ELSE IF( INDEIG ) THEN NEIG = IU - IL + 1 END IF MQ0 = NUMROC( MAX( NEIG, NB, 2 ), NB, 0, 0, NPCOL ) LWMIN = 5*N + MAX( 5*NN, NP0*MQ0+2*NB*NB ) + ICEIL( NEIG, NPROW*NPCOL )*NN LWOPT = LWMIN END IF ANB = PJLAENV( ICTXT, 3, 'PDSYTTRD', 'L', 0, 0, 0, 0 ) SQNPC = INT( SQRT( DBLE( NPROW*NPCOL ) ) ) NPS = MAX( NUMROC( N, 1, 0, 0, SQNPC ), 2*ANB ) NSYTRD_LWOPT = 2*( ANB+1 )*( 4*NPS+2 ) + ( NPS+4 )*NPS NB = DESCA( MB_ ) NP0 = NUMROC( N, NB, 0, 0, NPROW ) NQ0 = NUMROC( N, NB, 0, 0, NPCOL ) NSYGST_LWOPT = 2*NP0*NB + NQ0*NB + NB*NB LWOPT = MAX( LWOPT, N+NSYTRD_LWOPT, NSYGST_LWOPT ) IF( IBTYPE.LT.1 .OR. IBTYPE.GT.3 ) THEN INFO = -1 ELSE IF( .NOT.( WANTZ .OR. LSAME( JOBZ, 'N' ) ) ) THEN INFO = -2 ELSE IF( .NOT.( ALLEIG .OR. VALEIG .OR. INDEIG ) ) THEN INFO = -3 ELSE IF( .NOT.UPPER .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN INFO = -4 ELSE IF( N.LT.0 ) THEN INFO = -5 ELSE IF( IROFFA.NE.0 ) THEN INFO = -7 ELSE IF( ICOFFA.NE.0 ) THEN INFO = -8 ELSE IF( DESCA( MB_ ).NE.DESCA( NB_ ) ) THEN INFO = -( 900+NB_ ) ELSE IF( DESCA( M_ ).NE.DESCB( M_ ) ) THEN INFO = -( 1300+M_ ) ELSE IF( DESCA( N_ ).NE.DESCB( N_ ) ) THEN INFO = -( 1300+N_ ) ELSE IF( DESCA( MB_ ).NE.DESCB( MB_ ) ) THEN INFO = -( 1300+MB_ ) ELSE IF( DESCA( NB_ ).NE.DESCB( NB_ ) ) THEN INFO = -( 1300+NB_ ) ELSE IF( DESCA( RSRC_ ).NE.DESCB( RSRC_ ) ) THEN INFO = -( 1300+RSRC_ ) ELSE IF( DESCA( CSRC_ ).NE.DESCB( CSRC_ ) ) THEN INFO = -( 1300+CSRC_ ) ELSE IF( DESCA( CTXT_ ).NE.DESCB( CTXT_ ) ) THEN INFO = -( 1300+CTXT_ ) ELSE IF( DESCA( M_ ).NE.DESCZ( M_ ) ) THEN INFO = -( 2200+M_ ) ELSE IF( DESCA( N_ ).NE.DESCZ( N_ ) ) THEN INFO = -( 2200+N_ ) ELSE IF( DESCA( MB_ ).NE.DESCZ( MB_ ) ) THEN INFO = -( 2200+MB_ ) ELSE IF( DESCA( NB_ ).NE.DESCZ( NB_ ) ) THEN INFO = -( 2200+NB_ ) ELSE IF( DESCA( RSRC_ ).NE.DESCZ( RSRC_ ) ) THEN INFO = -( 2200+RSRC_ ) ELSE IF( DESCA( CSRC_ ).NE.DESCZ( CSRC_ ) ) THEN INFO = -( 2200+CSRC_ ) ELSE IF( DESCA( CTXT_ ).NE.DESCZ( CTXT_ ) ) THEN INFO = -( 2200+CTXT_ ) ELSE IF( IROFFB.NE.0 .OR. IBROW.NE.IAROW ) THEN INFO = -11 ELSE IF( ICOFFB.NE.0 .OR. IBCOL.NE.IACOL ) THEN INFO = -12 ELSE IF( VALEIG .AND. N.GT.0 .AND. VU.LE.VL ) THEN INFO = -15 ELSE IF( INDEIG .AND. ( IL.LT.1 .OR. IL.GT.MAX( 1, N ) ) ) THEN INFO = -16 ELSE IF( INDEIG .AND. ( IU.LT.MIN( N, IL ) .OR. IU.GT.N ) ) THEN INFO = -17 ELSE IF( VALEIG .AND. ( ABS( WORK( 2 )-VL ).GT.FIVE*EPS* ABS( VL ) ) ) THEN INFO = -14 ELSE IF( VALEIG .AND. ( ABS( WORK( 3 )-VU ).GT.FIVE*EPS* ABS( VU ) ) ) THEN INFO = -15 ELSE IF( ABS( WORK( 1 )-ABSTOL ).GT.FIVE*EPS*ABS( ABSTOL ) ) THEN INFO = -18 ELSE IF( LWORK.LT.LWMIN .AND. .NOT.LQUERY ) THEN INFO = -28 ELSE IF( LIWORK.LT.LIWMIN .AND. .NOT.LQUERY ) THEN INFO = -30 END IF END IF IDUM1( 1 ) = IBTYPE IDUM2( 1 ) = 1 IF( WANTZ ) THEN IDUM1( 2 ) = ICHAR( 'V' ) ELSE IDUM1( 2 ) = ICHAR( 'N' ) END IF IDUM2( 2 ) = 2 IF( UPPER ) THEN IDUM1( 3 ) = ICHAR( 'U' ) ELSE IDUM1( 3 ) = ICHAR( 'L' ) END IF IDUM2( 3 ) = 3 IF( ALLEIG ) THEN IDUM1( 4 ) = ICHAR( 'A' ) ELSE IF( INDEIG ) THEN IDUM1( 4 ) = ICHAR( 'I' ) ELSE IDUM1( 4 ) = ICHAR( 'V' ) END IF IDUM2( 4 ) = 4 IF( LQUERY ) THEN IDUM1( 5 ) = -1 ELSE IDUM1( 5 ) = 1 END IF IDUM2( 5 ) = 5 CALL PCHK2MAT( N, 4, N, 4, IA, JA, DESCA, 9, N, 4, N, 4, IB, JB, DESCB, 13, 5, IDUM1, IDUM2, INFO ) CALL PCHK1MAT( N, 4, N, 4, IZ, JZ, DESCZ, 26, 0, IDUM1, IDUM2, INFO ) END IF IWORK( 1 ) = LIWMIN WORK( 1 ) = DBLE( LWOPT ) IF( INFO.NE.0 ) THEN CALL PXERBLA( ICTXT, 'PDSYGVX ', -INFO ) RETURN ELSE IF( LQUERY ) THEN RETURN END IF CALL PDPOTRF( UPLO, N, B, IB, JB, DESCB, INFO ) IF( INFO.NE.0 ) THEN IWORK( 1 ) = LIWMIN WORK( 1 ) = DBLE( LWOPT ) IFAIL( 1 ) = INFO INFO = IERRNPD RETURN END IF CALL PDSYNGST( IBTYPE, UPLO, N, A, IA, JA, DESCA, B, IB, JB, DESCB, SCALE, WORK, LWORK, INFO ) CALL PDSYEVX( JOBZ, RANGE, UPLO, N, A, IA, JA, DESCA, VL, VU, IL, IU, ABSTOL, M, NZ, W, ORFAC, Z, IZ, JZ, DESCZ, WORK, LWORK, IWORK, LIWORK, IFAIL, ICLUSTR, GAP, INFO ) IF( WANTZ ) THEN NEIG = M IF( IBTYPE.EQ.1 .OR. IBTYPE.EQ.2 ) THEN IF( UPPER ) THEN TRANS = 'N' ELSE TRANS = 'T' END IF CALL PDTRSM( 'Left', UPLO, TRANS, 'Non-unit', N, NEIG, ONE, B, IB, JB, DESCB, Z, IZ, JZ, DESCZ ) ELSE IF( IBTYPE.EQ.3 ) THEN IF( UPPER ) THEN TRANS = 'T' ELSE TRANS = 'N' END IF CALL PDTRMM( 'Left', UPLO, TRANS, 'Non-unit', N, NEIG, ONE, B, IB, JB, DESCB, Z, IZ, JZ, DESCZ ) END IF END IF IF( SCALE.NE.ONE ) THEN CALL DSCAL( N, SCALE, W, 1 ) END IF IWORK( 1 ) = LIWMIN WORK( 1 ) = DBLE( LWOPT ) RETURN END

13 August 2001 ScaLAPACK version 1.7

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