SUBROUTINE PCLARZB( SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, $ IV, JV, DESCV, T, C, IC, JC, DESCC, WORK ) * * -- ScaLAPACK auxiliary routine (version 1.5) -- * University of Tennessee, Knoxville, Oak Ridge National Laboratory, * and University of California, Berkeley. * May 1, 1997 * * .. Scalar Arguments .. CHARACTER DIRECT, SIDE, STOREV, TRANS INTEGER IC, IV, JC, JV, K, L, M, N * .. * .. Array Arguments .. INTEGER DESCC( * ), DESCV( * ) COMPLEX C( * ), T( * ), V( * ), WORK( * ) * .. * * Purpose * ======= * * PCLARZB applies a complex block reflector Q or its conjugate * transpose Q**H to a complex M-by-N distributed matrix sub( C ) * denoting C(IC:IC+M-1,JC:JC+N-1), from the left or the right. * * Q is a product of k elementary reflectors as returned by PCTZRZF. * * Currently, only STOREV = 'R' and DIRECT = 'B' are supported. * * Notes * ===== * * Each global data object is described by an associated description * vector. This vector stores the information required to establish * the mapping between an object element and its corresponding process * and memory location. * * Let A be a generic term for any 2D block cyclicly distributed array. * Such a global array has an associated description vector DESCA. * In the following comments, the character _ should be read as * "of the global array". * * NOTATION STORED IN EXPLANATION * --------------- -------------- -------------------------------------- * DTYPE_A(global) DESCA( DTYPE_ )The descriptor type. In this case, * DTYPE_A = 1. * CTXT_A (global) DESCA( CTXT_ ) The BLACS context handle, indicating * the BLACS process grid A is distribu- * ted over. The context itself is glo- * bal, but the handle (the integer * value) may vary. * M_A (global) DESCA( M_ ) The number of rows in the global * array A. * N_A (global) DESCA( N_ ) The number of columns in the global * array A. * MB_A (global) DESCA( MB_ ) The blocking factor used to distribute * the rows of the array. * NB_A (global) DESCA( NB_ ) The blocking factor used to distribute * the columns of the array. * RSRC_A (global) DESCA( RSRC_ ) The process row over which the first * row of the array A is distributed. * CSRC_A (global) DESCA( CSRC_ ) The process column over which the * first column of the array A is * distributed. * LLD_A (local) DESCA( LLD_ ) The leading dimension of the local * array. LLD_A >= MAX(1,LOCr(M_A)). * * Let K be the number of rows or columns of a distributed matrix, * and assume that its process grid has dimension p x q. * LOCr( K ) denotes the number of elements of K that a process * would receive if K were distributed over the p processes of its * process column. * Similarly, LOCc( K ) denotes the number of elements of K that a * process would receive if K were distributed over the q processes of * its process row. * The values of LOCr() and LOCc() may be determined via a call to the * ScaLAPACK tool function, NUMROC: * LOCr( M ) = NUMROC( M, MB_A, MYROW, RSRC_A, NPROW ), * LOCc( N ) = NUMROC( N, NB_A, MYCOL, CSRC_A, NPCOL ). * An upper bound for these quantities may be computed by: * LOCr( M ) <= ceil( ceil(M/MB_A)/NPROW )*MB_A * LOCc( N ) <= ceil( ceil(N/NB_A)/NPCOL )*NB_A * * Arguments * ========= * * SIDE (global input) CHARACTER * = 'L': apply Q or Q**H from the Left; * = 'R': apply Q or Q**H from the Right. * * TRANS (global input) CHARACTER * = 'N': No transpose, apply Q; * = 'C': Conjugate transpose, apply Q**H. * * DIRECT (global input) CHARACTER * Indicates how H is formed from a product of elementary * reflectors * = 'F': H = H(1) H(2) . . . H(k) (Forward, not supported yet) * = 'B': H = H(k) . . . H(2) H(1) (Backward) * * STOREV (global input) CHARACTER * Indicates how the vectors which define the elementary * reflectors are stored: * = 'C': Columnwise (not supported yet) * = 'R': Rowwise * * M (global input) INTEGER * The number of rows to be operated on i.e the number of rows * of the distributed submatrix sub( C ). M >= 0. * * N (global input) INTEGER * The number of columns to be operated on i.e the number of * columns of the distributed submatrix sub( C ). N >= 0. * * K (global input) INTEGER * The order of the matrix T (= the number of elementary * reflectors whose product defines the block reflector). * * L (global input) INTEGER * The columns of the distributed submatrix sub( A ) containing * the meaningful part of the Householder reflectors. * If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0. * * V (local input) COMPLEX pointer into the local memory * to an array of dimension (LLD_V, LOCc(JV+M-1)) if SIDE = 'L', * (LLD_V, LOCc(JV+N-1)) if SIDE = 'R'. It contains the local * pieces of the distributed vectors V representing the * Householder transformation as returned by PCTZRZF. * LLD_V >= LOCr(IV+K-1). * * IV (global input) INTEGER * The row index in the global array V indicating the first * row of sub( V ). * * JV (global input) INTEGER * The column index in the global array V indicating the * first column of sub( V ). * * DESCV (global and local input) INTEGER array of dimension DLEN_. * The array descriptor for the distributed matrix V. * * T (local input) COMPLEX array, dimension MB_V by MB_V * The lower triangular matrix T in the representation of the * block reflector. * * C (local input/local output) COMPLEX pointer into the * local memory to an array of dimension (LLD_C,LOCc(JC+N-1)). * On entry, the M-by-N distributed matrix sub( C ). On exit, * sub( C ) is overwritten by Q*sub( C ) or Q'*sub( C ) or * sub( C )*Q or sub( C )*Q'. * * IC (global input) INTEGER * The row index in the global array C indicating the first * row of sub( C ). * * JC (global input) INTEGER * The column index in the global array C indicating the * first column of sub( C ). * * DESCC (global and local input) INTEGER array of dimension DLEN_. * The array descriptor for the distributed matrix C. * * WORK (local workspace) COMPLEX array, dimension (LWORK) * If STOREV = 'C', * if SIDE = 'L', * LWORK >= ( NqC0 + MpC0 ) * K * else if SIDE = 'R', * LWORK >= ( NqC0 + MAX( NpV0 + NUMROC( NUMROC( N+ICOFFC, * NB_V, 0, 0, NPCOL ), NB_V, 0, 0, LCMQ ), * MpC0 ) ) * K * end if * else if STOREV = 'R', * if SIDE = 'L', * LWORK >= ( MpC0 + MAX( MqV0 + NUMROC( NUMROC( M+IROFFC, * MB_V, 0, 0, NPROW ), MB_V, 0, 0, LCMP ), * NqC0 ) ) * K * else if SIDE = 'R', * LWORK >= ( MpC0 + NqC0 ) * K * end if * end if * * where LCMQ = LCM / NPCOL with LCM = ICLM( NPROW, NPCOL ), * * IROFFV = MOD( IV-1, MB_V ), ICOFFV = MOD( JV-1, NB_V ), * IVROW = INDXG2P( IV, MB_V, MYROW, RSRC_V, NPROW ), * IVCOL = INDXG2P( JV, NB_V, MYCOL, CSRC_V, NPCOL ), * MqV0 = NUMROC( M+ICOFFV, NB_V, MYCOL, IVCOL, NPCOL ), * NpV0 = NUMROC( N+IROFFV, MB_V, MYROW, IVROW, NPROW ), * * IROFFC = MOD( IC-1, MB_C ), ICOFFC = MOD( JC-1, NB_C ), * ICROW = INDXG2P( IC, MB_C, MYROW, RSRC_C, NPROW ), * ICCOL = INDXG2P( JC, NB_C, MYCOL, CSRC_C, NPCOL ), * MpC0 = NUMROC( M+IROFFC, MB_C, MYROW, ICROW, NPROW ), * NpC0 = NUMROC( N+ICOFFC, MB_C, MYROW, ICROW, NPROW ), * NqC0 = NUMROC( N+ICOFFC, NB_C, MYCOL, ICCOL, NPCOL ), * * ILCM, INDXG2P and NUMROC are ScaLAPACK tool functions; * MYROW, MYCOL, NPROW and NPCOL can be determined by calling * the subroutine BLACS_GRIDINFO. * * Alignment requirements * ====================== * * The distributed submatrices V(IV:*, JV:*) and C(IC:IC+M-1,JC:JC+N-1) * must verify some alignment properties, namely the following * expressions should be true: * * If STOREV = 'Columnwise' * If SIDE = 'Left', * ( MB_V.EQ.MB_C .AND. IROFFV.EQ.IROFFC .AND. IVROW.EQ.ICROW ) * If SIDE = 'Right', * ( MB_V.EQ.NB_C .AND. IROFFV.EQ.ICOFFC ) * else if STOREV = 'Rowwise' * If SIDE = 'Left', * ( NB_V.EQ.MB_C .AND. ICOFFV.EQ.IROFFC ) * If SIDE = 'Right', * ( NB_V.EQ.NB_C .AND. ICOFFV.EQ.ICOFFC .AND. IVCOL.EQ.ICCOL ) * end if * * ===================================================================== * * .. Parameters .. INTEGER BLOCK_CYCLIC_2D, CSRC_, CTXT_, DLEN_, DTYPE_, $ LLD_, MB_, M_, NB_, N_, RSRC_ 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 ) COMPLEX ONE, ZERO PARAMETER ( ONE = ( 1.0E+0, 0.0E+0 ), $ ZERO = ( 0.0E+0, 0.0E+0 ) ) * .. * .. Local Scalars .. LOGICAL LEFT CHARACTER COLBTOP, TRANST INTEGER ICCOL1, ICCOL2, ICOFFC1, ICOFFC2, ICOFFV, $ ICROW1, ICROW2, ICTXT, IIBEG, IIC1, IIC2, $ IIEND, IINXT, IIV, ILEFT, INFO, IOFFC2, IOFFV, $ IPT, IPV, IPW, IROFFC1, IROFFC2, ITOP, IVCOL, $ IVROW, J, JJBEG, JJEND, JJNXT, JJC1, JJC2, JJV, $ LDC, LDV, LV, LW, MBC, MBV, MPC1, MPC2, MPC20, $ MQV, MQV0, MYCOL, MYDIST, MYROW, NBC, NBV, $ NPCOL, NPROW, NQC1, NQC2, NQCALL, NQV * .. * .. External Subroutines .. EXTERNAL BLACS_ABORT, BLACS_GRIDINFO, CGEBR2D, $ CGEBS2D, CGEMM, CGSUM2D, CLACGV, $ CLACPY, CLASET, CTRBR2D, CTRBS2D, $ CTRMM, INFOG2L, PBCMATADD, PBCTRAN, $ PTOPGET, PXERBLA * .. * .. Intrinsic Functions .. INTRINSIC MAX, MIN, MOD * .. * .. External Functions .. LOGICAL LSAME INTEGER ICEIL, NUMROC EXTERNAL ICEIL, LSAME, NUMROC * .. * .. Executable Statements .. * * Quick return if possible * IF( M.LE.0 .OR. N.LE.0 .OR. K.LE.0 ) $ RETURN * * Get grid parameters * ICTXT = DESCC( CTXT_ ) CALL BLACS_GRIDINFO( ICTXT, NPROW, NPCOL, MYROW, MYCOL ) * * Check for currently supported options * INFO = 0 IF( .NOT.LSAME( DIRECT, 'B' ) ) THEN INFO = -3 ELSE IF( .NOT.LSAME( STOREV, 'R' ) ) THEN INFO = -4 END IF IF( INFO.NE.0 ) THEN CALL PXERBLA( ICTXT, 'PCLARZB', -INFO ) CALL BLACS_ABORT( ICTXT, 1 ) RETURN END IF * LEFT = LSAME( SIDE, 'L' ) IF( LSAME( TRANS, 'N' ) ) THEN TRANST = 'C' ELSE TRANST = 'N' END IF * CALL INFOG2L( IV, JV, DESCV, NPROW, NPCOL, MYROW, MYCOL, IIV, JJV, $ IVROW, IVCOL ) MBV = DESCV( MB_ ) NBV = DESCV( NB_ ) ICOFFV = MOD( JV-1, NBV ) NQV = NUMROC( L+ICOFFV, NBV, MYCOL, IVCOL, NPCOL ) IF( MYCOL.EQ.IVCOL ) $ NQV = NQV - ICOFFV LDV = DESCV( LLD_ ) IIV = MIN( IIV, LDV ) JJV = MIN( JJV, MAX( 1, NUMROC( DESCV( N_ ), NBV, MYCOL, $ DESCV( CSRC_ ), NPCOL ) ) ) IOFFV = IIV + ( JJV-1 ) * LDV MBC = DESCC( MB_ ) NBC = DESCC( NB_ ) NQCALL = NUMROC( DESCC( N_ ), NBC, MYCOL, DESCC( CSRC_ ), NPCOL ) CALL INFOG2L( IC, JC, DESCC, NPROW, NPCOL, MYROW, MYCOL, IIC1, $ JJC1, ICROW1, ICCOL1 ) LDC = DESCC( LLD_ ) IIC1 = MIN( IIC1, LDC ) JJC1 = MIN( JJC1, MAX( 1, NQCALL ) ) * IF( LEFT ) THEN IROFFC1 = MOD( IC-1, MBC ) MPC1 = NUMROC( K+IROFFC1, MBC, MYROW, ICROW1, NPROW ) IF( MYROW.EQ.ICROW1 ) $ MPC1 = MPC1 - IROFFC1 ICOFFC1 = MOD( JC-1, NBC ) NQC1 = NUMROC( N+ICOFFC1, NBC, MYCOL, ICCOL1, NPCOL ) IF( MYCOL.EQ.ICCOL1 ) $ NQC1 = NQC1 - ICOFFC1 CALL INFOG2L( IC+M-L, JC, DESCC, NPROW, NPCOL, MYROW, MYCOL, $ IIC2, JJC2, ICROW2, ICCOL2 ) IROFFC2 = MOD( IC+M-L-1, MBC ) MPC2 = NUMROC( L+IROFFC2, MBC, MYROW, ICROW2, NPROW ) IF( MYROW.EQ.ICROW2 ) $ MPC2 = MPC2 - IROFFC2 ICOFFC2 = ICOFFC1 NQC2 = NQC1 ELSE IROFFC1 = MOD( IC-1, MBC ) MPC1 = NUMROC( M+IROFFC1, MBC, MYROW, ICROW1, NPROW ) IF( MYROW.EQ.ICROW1 ) $ MPC1 = MPC1 - IROFFC1 ICOFFC1 = MOD( JC-1, NBC ) NQC1 = NUMROC( K+ICOFFC1, NBC, MYCOL, ICCOL1, NPCOL ) IF( MYCOL.EQ.ICCOL1 ) $ NQC1 = NQC1 - ICOFFC1 CALL INFOG2L( IC, JC+N-L, DESCC, NPROW, NPCOL, MYROW, MYCOL, $ IIC2, JJC2, ICROW2, ICCOL2 ) IROFFC2 = IROFFC1 MPC2 = MPC1 ICOFFC2 = MOD( JC+N-L-1, NBC ) NQC2 = NUMROC( L+ICOFFC2, NBC, MYCOL, ICCOL2, NPCOL ) IF( MYCOL.EQ.ICCOL2 ) $ NQC2 = NQC2 - ICOFFC2 END IF IIC2 = MIN( IIC2, LDC ) JJC2 = MIN( JJC2, NQCALL ) IOFFC2 = IIC2 + ( JJC2-1 ) * LDC * IF( LSAME( SIDE, 'L' ) ) THEN * * Form Q*sub( C ) or Q'*sub( C ) * * IROFFC2 = ICOFFV is required by the current transposition * routine PBCTRAN * MQV0 = NUMROC( M+ICOFFV, NBV, MYCOL, IVCOL, NPCOL ) IF( MYCOL.EQ.IVCOL ) THEN MQV = MQV0 - ICOFFV ELSE MQV = MQV0 END IF IF( MYROW.EQ.ICROW2 ) THEN MPC20 = MPC2 + IROFFC2 ELSE MPC20 = MPC2 END IF * * Locally V( IOFFV ) is K x MQV, C( IOFFC2 ) is MPC2 x NQC2 * WORK( IPV ) is MPC20 x K = [ . V( IOFFV ) ]' * WORK( IPW ) is K x MQV0 = [ . V( IOFFV ) ] * WORK( IPT ) is the workspace for PBCTRAN * IPV = 1 IPW = IPV + MPC20 * K IPT = IPW + K * MQV0 LV = MAX( 1, MPC20 ) LW = MAX( 1, K ) * IF( MYROW.EQ.IVROW ) THEN IF( MYCOL.EQ.IVCOL ) THEN CALL CLACPY( 'All', K, MQV, V( IOFFV ), LDV, $ WORK( IPW+ICOFFV*LW ), LW ) ELSE CALL CLACPY( 'All', K, MQV, V( IOFFV ), LDV, $ WORK( IPW ), LW ) END IF END IF * * WORK( IPV ) = WORK( IPW )' (replicated) is MPC20 x K * CALL PBCTRAN( ICTXT, 'Rowwise', 'Conjugate transpose', K, $ M+ICOFFV, DESCV( NB_ ), WORK( IPW ), LW, ZERO, $ WORK( IPV ), LV, IVROW, IVCOL, ICROW2, -1, $ WORK( IPT ) ) * * WORK( IPV ) = ( . V )' -> WORK( IPV ) = V' is MPC2 x K * IF( MYROW.EQ.ICROW2 ) $ IPV = IPV + IROFFC2 * * WORK( IPW ) becomes NQC2 x K = C( IOFFC2 )' * V' * WORK( IPW ) = C( IOFFC2 )' * V' (NQC2 x MPC2 x K) -> NQC2 x K * LW = MAX( 1, NQC2 ) * IF( MPC2.GT.0 ) THEN CALL CGEMM( 'Transpose', 'No transpose', NQC2, K, MPC2, $ ONE, C( IOFFC2 ), LDC, WORK( IPV ), LV, ZERO, $ WORK( IPW ), LW ) ELSE CALL CLASET( 'All', NQC2, K, ZERO, ZERO, WORK( IPW ), LW ) END IF * * WORK( IPW ) = WORK( IPW ) + C1 ( NQC1 = NQC2 ) * IF( MPC1.GT.0 ) THEN MYDIST = MOD( MYROW-ICROW1+NPROW, NPROW ) ITOP = MAX( 0, MYDIST * MBC - IROFFC1 ) IIBEG = IIC1 IIEND = IIC1 + MPC1 - 1 IINXT = MIN( ICEIL( IIBEG, MBC ) * MBC, IIEND ) * 10 CONTINUE IF( IIBEG.LE.IINXT ) THEN CALL PBCMATADD( ICTXT, 'Transpose', NQC2, IINXT-IIBEG+1, $ ONE, C( IIBEG+(JJC1-1)*LDC ), LDC, ONE, $ WORK( IPW+ITOP ), LW ) MYDIST = MYDIST + NPROW ITOP = MYDIST * MBC - IROFFC1 IIBEG = IINXT +1 IINXT = MIN( IINXT+MBC, IIEND ) GO TO 10 END IF END IF * CALL CGSUM2D( ICTXT, 'Columnwise', ' ', NQC2, K, WORK( IPW ), $ LW, IVROW, MYCOL ) * * WORK( IPW ) = WORK( IPW ) * T' or WORK( IPW ) * T * IF( MYROW.EQ.IVROW ) THEN IF( MYCOL.EQ.IVCOL ) THEN * * Broadcast the block reflector to the other columns. * CALL CTRBS2D( ICTXT, 'Rowwise', ' ', 'Lower', 'Non unit', $ K, K, T, MBV ) ELSE CALL CTRBR2D( ICTXT, 'Rowwise', ' ', 'Lower', 'Non unit', $ K, K, T, MBV, MYROW, IVCOL ) END IF CALL CTRMM( 'Right', 'Lower', TRANST, 'Non unit', NQC2, K, $ ONE, T, MBV, WORK( IPW ), LW ) * CALL CGEBS2D( ICTXT, 'Columnwise', ' ', NQC2, K, $ WORK( IPW ), LW ) ELSE CALL CGEBR2D( ICTXT, 'Columnwise', ' ', NQC2, K, $ WORK( IPW ), LW, IVROW, MYCOL ) END IF * * C1 = C1 - WORK( IPW ) * IF( MPC1.GT.0 ) THEN MYDIST = MOD( MYROW-ICROW1+NPROW, NPROW ) ITOP = MAX( 0, MYDIST * MBC - IROFFC1 ) IIBEG = IIC1 IIEND = IIC1 + MPC1 - 1 IINXT = MIN( ICEIL( IIBEG, MBC ) * MBC, IIEND ) * 20 CONTINUE IF( IIBEG.LE.IINXT ) THEN CALL PBCMATADD( ICTXT, 'Transpose', IINXT-IIBEG+1, NQC2, $ -ONE, WORK( IPW+ITOP ), LW, ONE, $ C( IIBEG+(JJC1-1)*LDC ), LDC ) MYDIST = MYDIST + NPROW ITOP = MYDIST * MBC - IROFFC1 IIBEG = IINXT +1 IINXT = MIN( IINXT+MBC, IIEND ) GO TO 20 END IF END IF * * C2 C2 - V' * W' * C( IOFFC2 ) = C( IOFFC2 ) - WORK( IPV ) * WORK( IPW )' * MPC2 x NQC2 MPC2 x K K x NQC2 * DO 30 J = 1, K CALL CLACGV( MPC2, WORK( IPV+(J-1)*LV ), 1 ) 30 CONTINUE CALL CGEMM( 'No transpose', 'Transpose', MPC2, NQC2, K, -ONE, $ WORK( IPV ), LV, WORK( IPW ), LW, ONE, $ C( IOFFC2 ), LDC ) * ELSE * * Form sub( C ) * Q or sub( C ) * Q' * * Locally V( IOFFV ) is K x NQV, C( IOFFC2 ) is MPC2 x NQC2 * WORK( IPV ) is K x NQV = V( IOFFV ), NQV = NQC2 * WORK( IPW ) is MPC2 x K = C( IOFFC2 ) * V( IOFFV )' * IPV = 1 IPW = IPV + K * NQC2 LV = MAX( 1, K ) LW = MAX( 1, MPC2 ) * * Broadcast V to the other process rows. * CALL PTOPGET( ICTXT, 'Broadcast', 'Columnwise', COLBTOP ) IF( MYROW.EQ.IVROW ) THEN CALL CGEBS2D( ICTXT, 'Columnwise', COLBTOP, K, NQC2, $ V( IOFFV ), LDV ) IF( MYCOL.EQ.IVCOL ) $ CALL CTRBS2D( ICTXT, 'Columnwise', COLBTOP, 'Lower', $ 'Non unit', K, K, T, MBV ) CALL CLACPY( 'All', K, NQC2, V( IOFFV ), LDV, WORK( IPV ), $ LV ) ELSE CALL CGEBR2D( ICTXT, 'Columnwise', COLBTOP, K, NQC2, $ WORK( IPV ), LV, IVROW, MYCOL ) IF( MYCOL.EQ.IVCOL ) $ CALL CTRBR2D( ICTXT, 'Columnwise', COLBTOP, 'Lower', $ 'Non unit', K, K, T, MBV, IVROW, MYCOL ) END IF * * WORK( IPV ) is K x NQC2 = V = V( IOFFV ) * WORK( IPW ) = C( IOFFC2 ) * V' (MPC2 x NQC2 x K) -> MPC2 x K * IF( NQC2.GT.0 ) THEN CALL CGEMM( 'No Transpose', 'Transpose', MPC2, K, NQC2, $ ONE, C( IOFFC2 ), LDC, WORK( IPV ), LV, ZERO, $ WORK( IPW ), LW ) ELSE CALL CLASET( 'All', MPC2, K, ZERO, ZERO, WORK( IPW ), LW ) END IF * * WORK( IPW ) = WORK( IPW ) + C1 ( MPC1 = MPC2 ) * IF( NQC1.GT.0 ) THEN MYDIST = MOD( MYCOL-ICCOL1+NPCOL, NPCOL ) ILEFT = MAX( 0, MYDIST * NBC - ICOFFC1 ) JJBEG = JJC1 JJEND = JJC1 + NQC1 - 1 JJNXT = MIN( ICEIL( JJBEG, NBC ) * NBC, JJEND ) * 40 CONTINUE IF( JJBEG.LE.JJNXT ) THEN CALL PBCMATADD( ICTXT, 'No transpose', MPC2, $ JJNXT-JJBEG+1, ONE, $ C( IIC1+(JJBEG-1)*LDC ), LDC, ONE, $ WORK( IPW+ILEFT*LW ), LW ) MYDIST = MYDIST + NPCOL ILEFT = MYDIST * NBC - ICOFFC1 JJBEG = JJNXT +1 JJNXT = MIN( JJNXT+NBC, JJEND ) GO TO 40 END IF END IF * CALL CGSUM2D( ICTXT, 'Rowwise', ' ', MPC2, K, WORK( IPW ), $ LW, MYROW, IVCOL ) * * WORK( IPW ) = WORK( IPW ) * T' or WORK( IPW ) * T * IF( MYCOL.EQ.IVCOL ) THEN DO 50 J = 1, K CALL CLACGV( K-J+1, T( J+(J-1)*MBV ), 1 ) 50 CONTINUE CALL CTRMM( 'Right', 'Lower', TRANS, 'Non unit', MPC2, K, $ ONE, T, MBV, WORK( IPW ), LW ) CALL CGEBS2D( ICTXT, 'Rowwise', ' ', MPC2, K, WORK( IPW ), $ LW ) DO 60 J = 1, K CALL CLACGV( K-J+1, T( J+(J-1)*MBV ), 1 ) 60 CONTINUE ELSE CALL CGEBR2D( ICTXT, 'Rowwise', ' ', MPC2, K, WORK( IPW ), $ LW, MYROW, IVCOL ) END IF * * C1 = C1 - WORK( IPW ) * IF( NQC1.GT.0 ) THEN MYDIST = MOD( MYCOL-ICCOL1+NPCOL, NPCOL ) ILEFT = MAX( 0, MYDIST * NBC - ICOFFC1 ) JJBEG = JJC1 JJEND = JJC1 + NQC1 - 1 JJNXT = MIN( ICEIL( JJBEG, NBC ) * NBC, JJEND ) * 70 CONTINUE IF( JJBEG.LE.JJNXT ) THEN CALL PBCMATADD( ICTXT, 'No transpose', MPC2, $ JJNXT-JJBEG+1, -ONE, $ WORK( IPW+ILEFT*LW ), LW, ONE, $ C( IIC1+(JJBEG-1)*LDC ), LDC ) MYDIST = MYDIST + NPCOL ILEFT = MYDIST * NBC - ICOFFC1 JJBEG = JJNXT +1 JJNXT = MIN( JJNXT+NBC, JJEND ) GO TO 70 END IF END IF * * C2 C2 - W * conjg( V ) * C( IOFFC ) = C( IOFFC ) - WORK( IPW ) * conjg( WORK( IPV ) ) * MPC2 x NQC2 MPC2 x K K x NQC2 * DO 80 J = 1, NQC2 CALL CLACGV( K, WORK( IPV+(J-1)*LV ), 1 ) 80 CONTINUE CALL CGEMM( 'No transpose', 'No transpose', MPC2, NQC2, K, $ -ONE, WORK( IPW ), LW, WORK( IPV ), LV, ONE, $ C( IOFFC2 ), LDC ) * END IF * RETURN * * End of PCLARZB * END