Routine PZUNMQR() Documented By Universal Report

Routine: PZUNMQR()

File: SRC\pzunmqr.f

# lines:	451
# code:	451
# comment:	0
# blank:	0
# Variables:	64
# Callers:	5
# Callings:	3
# Words:	242
# Keywords:	158

..
     .. Array Arguments ..
     ..
  Purpose
  =======
  PZUNMQR overwrites the general complex M-by-N distributed matrix
  sub( C ) = C(IC:IC+M-1,JC:JC+N-1) with
                      SIDE = 'L'            SIDE = 'R'
  TRANS = 'N':      Q * sub( C )          sub( C ) * Q
  TRANS = 'C':      Q**H * sub( C )       sub( C ) * Q**H
  where Q is a complex unitary distributed matrix defined as the
  product of k elementary reflectors
        Q = H(1) H(2) . . . H(k)
  as returned by PZGEQRF. Q is of order M if SIDE = 'L' and of order N
  if SIDE = 'R'.
  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.
  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 number of elementary reflectors whose product defines the
          matrix Q.  If SIDE = 'L', M >= K >= 0, if SIDE = 'R',
          N >= K >= 0.
  A       (local input) COMPLEX*16 pointer into the local memory
          to an array of dimension (LLD_A,LOCc(JA+K-1)). On entry, the
          j-th column must contain the vector which defines the elemen-
          tary reflector H(j), JA <= j <= JA+K-1, as returned by
          PZGEQRF in the K columns of its distributed matrix
          argument A(IA:*,JA:JA+K-1). A(IA:*,JA:JA+K-1) is modified by
          the routine but restored on exit.
          If SIDE = 'L', LLD_A >= MAX( 1, LOCr(IA+M-1) );
          if SIDE = 'R', LLD_A >= MAX( 1, LOCr(IA+N-1) ).
  IA      (global input) INTEGER
          The row index in the global array A indicating the first
          row of sub( A ).
  JA      (global input) INTEGER
          The column index in the global array A indicating the
          first column of sub( A ).
  DESCA   (global and local input) INTEGER array of dimension DLEN_.
          The array descriptor for the distributed matrix A.
  TAU     (local input) COMPLEX*16, array, dimension LOCc(JA+K-1).
          This array contains the scalar factors TAU(j) of the
          elementary reflectors H(j) as returned by PZGEQRF.
          TAU is tied to the distributed matrix A.
  C       (local input/local output) COMPLEX*16 pointer into the
          local memory to an array of dimension (LLD_C,LOCc(JC+N-1)).
          On entry, the local pieces of the 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/local output) COMPLEX*16 array,
                                                     dimension (LWORK)
          On exit, WORK(1) returns the minimal and optimal LWORK.
  LWORK   (local or global input) INTEGER
          The dimension of the array WORK.
          LWORK is local input and must be at least
          If SIDE = 'L',
            LWORK >= MAX( (NB_A*(NB_A-1))/2, (NqC0 + MpC0)*NB_A ) +
                     NB_A * NB_A
          else if SIDE = 'R',
            LWORK >= MAX( (NB_A*(NB_A-1))/2, ( NqC0 + MAX( NpA0 +
                     NUMROC( NUMROC( N+ICOFFC, NB_A, 0, 0, NPCOL ),
                             NB_A, 0, 0, LCMQ ), MpC0 ) )*NB_A ) +
                     NB_A * NB_A
          end if
          where LCMQ = LCM / NPCOL with LCM = ICLM( NPROW, NPCOL ),
          IROFFA = MOD( IA-1, MB_A ), ICOFFA = MOD( JA-1, NB_A ),
          IAROW = INDXG2P( IA, MB_A, MYROW, RSRC_A, NPROW ),
          NpA0 = NUMROC( N+IROFFA, MB_A, MYROW, IAROW, 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 ),
          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.
          If LWORK = -1, then LWORK is global input and a workspace
          query is assumed; the routine only calculates the minimum
          and optimal size for all work arrays. Each of these
          values is returned in the first entry of the corresponding
          work array, and no error message is issued by PXERBLA.
  INFO    (global output) INTEGER
          = 0:  successful exit
          < 0:  If the i-th argument is an array and the j-entry had
                an illegal value, then INFO = -(i*100+j), if the i-th
                argument is a scalar and had an illegal value, then
                INFO = -i.
  Alignment requirements
  ======================
  The distributed submatrices A(IA:*, JA:*) and C(IC:IC+M-1,JC:JC+N-1)
  must verify some alignment properties, namely the following
  expressions should be true:
  If SIDE = 'L',
    ( MB_A.EQ.MB_C .AND. IROFFA.EQ.IROFFC .AND. IAROW.EQ.ICROW )
  If SIDE = 'R',
    ( MB_A.EQ.NB_C .AND. IROFFA.EQ.ICOFFC )
  =====================================================================
     .. Parameters ..

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001        SUBROUTINE PZUNMQR( SIDE , TRANS , M , N , K , A , IA , JA , DESCA , TAU ,
002       $C , IC , JC , DESCC , WORK , LWORK , INFO )
003  
004  *     -- ScaLAPACK routine(version 1.7) --
005  *     University of Tennessee , Knoxville , Oak Ridge National Laboratory ,
006  *     and University of California , Berkeley.
007  *     May 25 , 2001
008  
009  *     .. Scalar Arguments ..
010        CHARACTER SIDE , TRANS
011        INTEGER IA , IC , INFO , JA , JC , K , LWORK , M , N
012        INTEGER BLOCK_CYCLIC_2D , CSRC_ , CTXT_ , DLEN_ , DTYPE_ ,
013       $LLD_ , MB_ , M_ , NB_ , N_ , RSRC_
014        PARAMETER( BLOCK_CYCLIC_2D = 1 , DLEN_ = 9 , DTYPE_ = 1 ,
015       $CTXT_ = 2 , M_ = 3 , N_ = 4 , MB_ = 5 , NB_ = 6 ,
016       $RSRC_ = 7 , CSRC_ = 8 , LLD_ = 9 )
017  *     ..
018  *     .. Local Scalars ..
019        LOGICAL LEFT , LQUERY , NOTRAN
020        CHARACTER COLBTOP , ROWBTOP
021        INTEGER IAROW , ICC , ICCOL , ICOFFC , ICROW , ICTXT , IINFO ,
022       $IPW , IROFFA , IROFFC , J , J1 , J2 , J3 , JB , JCC ,
023       $LCM , LCMQ , LWMIN , MI , MPC0 , MYCOL , MYROW , NI ,
024       $NPA0 , NPCOL , NPROW , NQ , NQC0
025  *     ..
026  *     .. Local Arrays ..
027        INTEGER IDUM1( 4 ) , IDUM2( 4 )
028  *     ..
029  *     .. External Subroutines ..
030        EXTERNAL BLACS_GRIDINFO , CHK1MAT , PCHK2MAT , PB_TOPGET ,
031       $PB_TOPSET , PXERBLA , PZLARFB , PZLARFT ,
032       $PZUNM2R  
033  *     ..
034  *     .. External Functions ..
035        LOGICAL LSAME
036        INTEGER ICEIL , ILCM , INDXG2P , NUMROC
037        EXTERNAL ICEIL , ILCM , INDXG2P , LSAME , NUMROC
038  *     ..
039  *     .. Intrinsic Functions ..
040        INTRINSIC DBLE , DCMPLX , ICHAR , MAX , MIN , MOD
041  *     ..
042  *     .. Executable Statements ..
043  
044  *     Get grid parameters
045  
046        ICTXT = DESCA( CTXT_ )
047        CALL BLACS_GRIDINFO( ICTXT , NPROW , NPCOL , MYROW , MYCOL )
048  
049  *     Test the input parameters
050  
051        INFO = 0
052        IF( NPROW.EQ. - 1 ) THEN
052               
053            INFO = - (900 + CTXT_)
054        ELSE
054               
055            LEFT = LSAME( SIDE , 'L' )
056            NOTRAN = LSAME( TRANS , 'N' )
057  
058  *         NQ is the order of Q
059  
060            IF( LEFT ) THEN
060                   
061                NQ = M
062                CALL CHK1MAT( M , 3 , K , 5 , IA , JA , DESCA , 9 , INFO )
063            ELSE
063                   
064                NQ = N
065                CALL CHK1MAT( N , 4 , K , 5 , IA , JA , DESCA , 9 , INFO )
066            END IF
067            CALL CHK1MAT( M , 3 , N , 4 , IC , JC , DESCC , 14 , INFO )
068            IF( INFO.EQ.0 ) THEN
068                   
069                IROFFA = MOD( IA - 1 , DESCA( MB_ ) )
070                IROFFC = MOD( IC - 1 , DESCC( MB_ ) )
071                ICOFFC = MOD( JC - 1 , DESCC( NB_ ) )
072                IAROW = INDXG2P( IA , DESCA( MB_ ) , MYROW , DESCA( RSRC_ ) ,
073       $        NPROW )
074                ICROW = INDXG2P( IC , DESCC( MB_ ) , MYROW , DESCC( RSRC_ ) ,
075       $        NPROW )
076                ICCOL = INDXG2P( JC , DESCC( NB_ ) , MYCOL , DESCC( CSRC_ ) ,
077       $        NPCOL )
078                MPC0 = NUMROC( M + IROFFC , DESCC( MB_ ) , MYROW , ICROW , NPROW )
079                NQC0 = NUMROC( N + ICOFFC , DESCC( NB_ ) , MYCOL , ICCOL , NPCOL )
080  
081                IF( LEFT ) THEN
081                       
082                    LWMIN = MAX(( DESCA( NB_ ) * ( DESCA( NB_ ) - 1 ) ) / 2 ,
083       $( MPC0 + NQC0 ) * DESCA( NB_ ) ) +
083                       
084       $            DESCA( NB_ ) * DESCA( NB_ )
085                ELSE
085                       
086                    NPA0 = NUMROC( N + IROFFA , DESCA( MB_ ) , MYROW , IAROW ,
087       $            NPROW )
088                    LCM = ILCM( NPROW , NPCOL )
089                    LCMQ = LCM / NPCOL
090                    LWMIN = MAX(( DESCA( NB_ ) * ( DESCA( NB_ ) - 1 ) )
091       $            / 2 ,( NQC0 + MAX( NPA0 + NUMROC( NUMROC(
092       $            N + ICOFFC , DESCA( NB_ ) , 0 , 0 , NPCOL ) ,
093       $            DESCA( NB_ ) , 0 , 0 , LCMQ ) , MPC0 ) ) *
094       $            DESCA( NB_ ) ) + DESCA( NB_ ) * DESCA( NB_ )
095                END IF
096  
097                WORK( 1 ) = DCMPLX( DBLE( LWMIN ) )
098                LQUERY =( LWORK.EQ. - 1 )
099                IF( .NOT.LEFT .AND. .NOT.LSAME( SIDE , 'R' ) ) THEN
099                       
100                    INFO = - 1
101                ELSE IF( .NOT.NOTRAN .AND. .NOT.LSAME( TRANS , 'C' ) ) THEN
101                       
102                    INFO = - 2
103                ELSE IF( K.LT.0 .OR. K.GT.NQ ) THEN
103                       
104                    INFO = - 5
105                ELSE IF( .NOT.LEFT .AND. DESCA( MB_ ).NE.DESCC( NB_ ) ) THEN
105                       
106                    INFO = - (900 + NB_)
107                ELSE IF( LEFT .AND. IROFFA.NE.IROFFC ) THEN
107                       
108                    INFO = - 12
109                ELSE IF( LEFT .AND. IAROW.NE.ICROW ) THEN
109                       
110                    INFO = - 12
111                ELSE IF( .NOT.LEFT .AND. IROFFA.NE.ICOFFC ) THEN
111                       
112                    INFO = - 13
113                ELSE IF( LEFT .AND. DESCA( MB_ ).NE.DESCC( MB_ ) ) THEN
113                       
114                    INFO = - (1400 + MB_)
115                ELSE IF( ICTXT.NE.DESCC( CTXT_ ) ) THEN
115                       
116                    INFO = - (1400 + CTXT_)
117                ELSE IF( LWORK.LT.LWMIN .AND. .NOT.LQUERY ) THEN
117                       
118                    INFO = - 16
119                END IF
120            END IF
121  
122            IF( LEFT ) THEN
122                   
123                IDUM1( 1 ) = ICHAR( 'L' )
124            ELSE
124                   
125                IDUM1( 1 ) = ICHAR( 'R' )
126            END IF
127            IDUM2( 1 ) = 1
128            IF( NOTRAN ) THEN
128                   
129                IDUM1( 2 ) = ICHAR( 'N' )
130            ELSE
130                   
131                IDUM1( 2 ) = ICHAR( 'C' )
132            END IF
133            IDUM2( 2 ) = 2
134            IDUM1( 3 ) = K
135            IDUM2( 3 ) = 5
136            IF( LWORK.EQ. - 1 ) THEN
136                   
137                IDUM1( 4 ) = - 1
138            ELSE
138                   
139                IDUM1( 4 ) = 1
140            END IF
141            IDUM2( 4 ) = 16
142            IF( LEFT ) THEN
142                   
143                CALL PCHK2MAT( M , 3 , K , 5 , IA , JA , DESCA , 9 , M , 3 , N , 4 , IC ,
144       $        JC , DESCC , 14 , 4 , IDUM1 , IDUM2 , INFO )
145            ELSE
145                   
146                CALL PCHK2MAT( N , 4 , K , 5 , IA , JA , DESCA , 9 , M , 3 , N , 4 , IC ,
147       $        JC , DESCC , 14 , 4 , IDUM1 , IDUM2 , INFO )
148            END IF
149        END IF
150  
151        IF( INFO.NE.0 ) THEN
151               
152            CALL PXERBLA( ICTXT , 'PZUNMQR' , - INFO )
153            RETURN
154        ELSE IF( LQUERY ) THEN
154               
155            RETURN
156        END IF
157  
158  *     Quick return if possible
159  
160        IF( M.EQ.0 .OR. N.EQ.0 .OR. K.EQ.0 )
160               
161       $    RETURN
162  
163            CALL PB_TOPGET( ICTXT , 'Broadcast' , 'Rowwise' , ROWBTOP )
164            CALL PB_TOPGET( ICTXT , 'Broadcast' , 'Columnwise' , COLBTOP )
165  
166            IF(( LEFT .AND. .NOT.NOTRAN ) .OR.
167       $( .NOT.LEFT .AND. NOTRAN ) ) THEN
167               
168            J1 = MIN( ICEIL( JA , DESCA( NB_ ) ) * DESCA( NB_ ) , JA + K - 1 )
169       $    + 1
170            J2 = JA + K - 1
171            J3 = DESCA( NB_ )
172        ELSE
172               
173            J1 = MAX(((JA + K - 2) / DESCA( NB_ ) ) * DESCA( NB_ ) + 1 , JA )
174            J2 = MIN( ICEIL( JA , DESCA( NB_ ) ) * DESCA( NB_ ) , JA + K - 1 )
175       $    + 1
176            J3 = - DESCA( NB_ )
177        END IF
178  
179        IF( LEFT ) THEN
179               
180            NI = N
181            JCC = JC
182            IF( NOTRAN ) THEN
182                   
183                CALL PB_TOPSET( ICTXT , 'Broadcast' , 'Rowwise' , 'D - ring' )
184            ELSE
184                   
185                CALL PB_TOPSET( ICTXT , 'Broadcast' , 'Rowwise' , 'I - ring' )
186            END IF
187            CALL PB_TOPSET( ICTXT , 'Broadcast' , 'Columnwise' , ' ' )
188        ELSE
188               
189            MI = M
190            ICC = IC
191        END IF
192  
193  *     Use unblocked code for the first block if necessary
194  
195        IF(( LEFT .AND. .NOT.NOTRAN ) .OR.( .NOT.LEFT .AND. NOTRAN ) )
195               
196       $    CALL PZUNM2R ( SIDE , TRANS , M , N , J1 - JA , A , IA , JA , DESCA , TAU ,
197       $    C , IC , JC , DESCC , WORK , LWORK , IINFO )
198  
199            IPW = DESCA( NB_ ) * DESCA( NB_ ) + 1
200            DO 10 J = J1 , J2 , J3
200                   
201                JB = MIN( DESCA( NB_ ) , K - J + JA )
202  
203  *             Form the triangular factor of the block reflector
204  *             H = H(j) H(j + 1) . . . H(j + jb - 1)
205  
206                CALL PZLARFT ( 'Forward' , 'Columnwise' , NQ - J + JA , JB , A ,
207       $        IA + J - JA , J , DESCA , TAU , WORK , WORK( IPW ) )
208                IF( LEFT ) THEN
209  
210  *                 H or H' is applied to C(ic + j - ja : ic + m - 1 , jc : jc + n - 1)
211  
211                       
212                    MI = M - J + JA
213                    ICC = IC + J - JA
214                ELSE
215  
216  *                 H or H' is applied to C(ic : ic + m - 1 , jc + j - ja : jc + n - 1)
217  
217                       
218                    NI = N - J + JA
219                    JCC = JC + J - JA
220                END IF
221  
222  *             Apply H or H'
223  
224                CALL PZLARFB ( SIDE , TRANS , 'Forward' , 'Columnwise' , MI , NI ,
225       $        JB , A , IA + J - JA , J , DESCA , WORK , C , ICC , JCC ,
226       $        DESCC , WORK( IPW ) )
227     10     CONTINUE
228  
229  *         Use unblocked code for the last block if necessary
230  
230               
231            IF(( LEFT .AND. NOTRAN ) .OR.( .NOT.LEFT .AND. .NOT.NOTRAN ) )
231                   
232       $        CALL PZUNM2R ( SIDE , TRANS , M , N , J2 - JA , A , IA , JA , DESCA , TAU ,
233       $        C , IC , JC , DESCC , WORK , LWORK , IINFO )
234  
235                CALL PB_TOPSET( ICTXT , 'Broadcast' , 'Rowwise' , ROWBTOP )
236                CALL PB_TOPSET( ICTXT , 'Broadcast' , 'Columnwise' , COLBTOP )
237  
238                WORK( 1 ) = DCMPLX( DBLE( LWMIN ) )
239  
240                RETURN
241  
242  *             End of PZUNMQR
243  
244            END2935

Variables in Routine PZUNMQR()

Summary Report
Data Type	Quantity	Size(byte)
CHARACTER	4	4
INTEGER	55	248
LOGICAL	4	4
REAL	1	4
TOTAL	64	260

List of Variables

CHARACTER

COLBTOP ROWBTOP SIDE TRANS

INTEGER

BLOCK_CYCLIC_2D CSRC_ CTXT_ DLEN_ DTYPE_
IA IAROW IC ICC ICCOL
ICEIL ICOFFC ICROW ICTXT IDUM1( 4 )
IDUM2( 4 ) IINFO ILCM INDXG2P INFO
IPW IROFFA IROFFC J J1
J2 J3 JA JB JC
JCC K LCM LCMQ LLD_
LWMIN LWORK M M_ MB_
MI MPC0 MYCOL MYROW N
N_ NB_ NI NPA0 NPCOL
NPROW NQ NQC0 NUMROC RSRC_

LOGICAL

LEFT LQUERY LSAME NOTRAN

REAL

WORK

Variables Dependence Graph
Put the mouse over a right hand side variable to display the corresponding line of the dependence
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- -
IAROW <--- INDXG2P, MB_, MYROW, NPROW, RSRC_, IA

ICC <--- JICC = IC + J - JA, JAICC = IC + J - JA, ICICC = IC{2ICC = IC + J - JA}

ICCOL <--- INDXG2P, CSRC_, JC, MYCOL, NB_, NPCOL

ICOFFC <--- JCICOFFC = MOD( JC-1, DESCC( NB_ ) ), NB_ICOFFC = MOD( JC-1, DESCC( NB_ ) )

ICROW <--- INDXG2P, MB_, MYROW, NPROW, RSRC_, IC

ICTXT <--- CTXT_ICTXT = DESCA( CTXT_ )

IDUM1 <--- KIDUM1( 3 ) = K, NIDUM1( 2 ) = ICHAR( 'N' )

INFO <--- CTXT_INFO = -(1400+CTXT_){2INFO = -(900+CTXT_)}, MB_INFO = -(1400+MB_), NB_INFO = -(900+NB_)

IPW <--- NB_IPW = DESCA( NB_ ) * DESCA( NB_ ) + 1

IROFFA <--- MB_IROFFA = MOD( IA-1, DESCA( MB_ ) ), IAIROFFA = MOD( IA-1, DESCA( MB_ ) )

IROFFC <--- MB_IROFFC = MOD( IC-1, DESCC( MB_ ) ), ICIROFFC = MOD( IC-1, DESCC( MB_ ) )

J <--- J1DO 10 J = J1, J2, J3, J2DO 10 J = J1, J2, J3, J3DO 10 J = J1, J2, J3

J1 <--- ICEIL, JA{2}, K{2}, NB_{2}

J2 <--- ICEIL, JAJ2 = JA+K-1{2}, KJ2 = JA+K-1{2}, NB_

J3 <--- NB_J3 = DESCA( NB_ ){2J3 = -DESCA( NB_ )}

JB <--- JJB = MIN( DESCA( NB_ ), K-J+JA ), JAJB = MIN( DESCA( NB_ ), K-J+JA ), KJB = MIN( DESCA( NB_ ), K-J+JA ), NB_JB = MIN( DESCA( NB_ ), K-J+JA )

JCC <--- JJCC = JC + J - JA, JAJCC = JC + J - JA, JCJCC = JC{2JCC = JC + J - JA}

LCM <--- ILCMLCM = ILCM( NPROW, NPCOL ), NPCOLLCM = ILCM( NPROW, NPCOL ), NPROWLCM = ILCM( NPROW, NPCOL )

LCMQ <--- LCMLCMQ = LCM / NPCOL, NPCOLLCMQ = LCM / NPCOL

LEFT <--- LSAMELEFT = LSAME( SIDE, 'L' ), SIDELEFT = LSAME( SIDE, 'L' )

LWMIN <--- ICOFFC, LCMQ, MPC0{2}, N, NB_{2}, NPA0, NPCOL, NQC0{2}, NUMROC

MI <--- JMI = M - J + JA, JAMI = M - J + JA, MMI = M{2MI = M - J + JA}

MPC0 <--- ICROW, IROFFC, M, MB_, MYROW, NPROW, NUMROC

NI <--- JNI = N - J + JA, JANI = N - J + JA, NNI = N{2NI = N - J + JA}

NOTRAN <--- LSAMENOTRAN = LSAME( TRANS, 'N' ), NNOTRAN = LSAME( TRANS, 'N' ), TRANSNOTRAN = LSAME( TRANS, 'N' )

NPA0 <--- IROFFA, MB_, MYROW, N, NPROW, NUMROC, IAROW

NQ <--- MNQ = M, NNQ = N

NQC0 <--- ICCOL, ICOFFC, MYCOL, N, NB_, NPCOL, NUMROC

WORK <--- LWMINWORK( 1 ) = DCMPLX( DBLE( LWMIN ) ){2WORK( 1 ) = DCMPLX( DBLE( LWMIN ) )}

Analysis elements of the routine PZUNMQR()
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Assigned variables
		BLOCK_CYCLIC_2D , CSRC_ , CTXT_ , DLEN_ , DTYPE_ , IAROW , ICC , ICCOL , ICOFFC , ICROW , ICTXT , IDUM1 , IDUM2 , INFO , IPW , IROFFA , IROFFC , J , J1 , J2 , J3 , JB , JCC , LCM , LCMQ , LEFT , LLD_ , LQUERY , LWMIN , M_ , MB_ , MI , MPC0 , N_ , NB_ , NI , NOTRAN , NPA0 , NQ , NQC0 , RSRC_ , WORK

Active variables
		A , BLOCK_CYCLIC_2D , C , COLBTOP , CSRC_ , CTXT_ , DESCA , DESCC , DLEN_ , DTYPE_ , IA , IAROW , IC , ICC , ICCOL , ICEIL , ICOFFC , ICROW , ICTXT , IDUM1 , IDUM2 , IINFO , ILCM , INDXG2P , INFO , IPW , IROFFA , IROFFC , J , J1 , J2 , J3 , JA , JB , JC , JCC , K , LCM , LCMQ , LEFT , LLD_ , LQUERY , LSAME , LWMIN , LWORK , M , M_ , MB_ , MI , MPC0 , MYCOL , MYROW , N , N_ , NB_ , NI , NOTRAN , NPA0 , NPCOL , NPROW , NQ , NQC0 , NUMROC , ROWBTOP , RSRC_ , SIDE , TAU , TRANS , WORK

Accessed arrays [ array name : associated index ]
	C	: ic:ic+m-1,jc+j-ja:jc+n-1 , ic+j-ja:ic+m-1,jc:jc+n-1
	DESCA	: CTXT_ , MB_ , MB_ , MB_ , MB_ , MB_ , NB_ , NB_ , NB_ , NB_ , NB_ , NB_ , NB_ , NB_ , NB_ , NB_ , NB_ , NB_ , NB_ , NB_ , RSRC_
	DESCC	: CSRC_ , CTXT_ , MB_ , MB_ , MB_ , MB_ , NB_ , NB_ , NB_ , NB_ , RSRC_
	ICEIL	: JA, DESCA( NB_ ) , JA, DESCA( NB_ )
	IDUM1	: 1 , 1 , 2 , 2 , 3 , 4 , 4 , 4
	IDUM2	: 1 , 2 , 3 , 4 , 4
	ILCM	: NPROW, NPCOL
	LSAME	: SIDE, 'L' , SIDE, 'R' , TRANS, 'C' , TRANS, 'N'
	NUMROC	: M+IROFFC, DESCC( MB_ ), MYROW, ICROW, NPROW , N+ICOFFC, DESCC( NB_ ), MYCOL, ICCOL, NPCOL
	WORK	: 1 , 1 , IPW , IPW

Conditional statements [ statement : associated predicate ]
	do	: `(` 10 J = J1 , J2 , J3 `)`
	for	: `(` the first block if necessary `)` , `(` the last block if necessary `)`
	if	: `(` NPROW.EQ. - 1 `)` , `(` LEFT `)` , `(` INFO.EQ.0 `)` , `(` LEFT `)` , `(` (.NOT.LEFT .AND. .NOT.LSAME( SIDE , 'R' ) ) `)` , `(` (.NOT.NOTRAN .AND. .NOT.LSAME( TRANS , 'C' ) ) `)` , `(` K.LT.0 .OR. K.GT.NQ `)` , `(` (.NOT.LEFT .AND. DESCA( MB_ ).NE.DESCC( NB_ ) ) `)` , `(` LEFT .AND. IROFFA.NE.IROFFC `)` , `(` LEFT .AND. IAROW.NE.ICROW `)` , `(` .NOT.LEFT .AND. IROFFA.NE.ICOFFC `)` , `(` (LEFT .AND. DESCA( MB_ ).NE.DESCC( MB_ ) ) `)` , `(` (ICTXT.NE.DESCC( CTXT_ ) ) `)` , `(` LWORK.LT.LWMIN .AND. .NOT.LQUERY `)` , `(` LEFT `)` , `(` NOTRAN `)` , `(` LWORK.EQ. - 1 `)` , `(` LEFT `)` , `(` INFO.NE.0 `)` , `(` LQUERY `)` , `(` possible `)` , `(` M.EQ.0 .OR. N.EQ.0 .OR. K.EQ.0 `)` , `(` (( LEFT .AND. .NOT.NOTRAN ) .OR. `)` , `(` LEFT `)` , `(` NOTRAN `)` , `(` necessary `)` , `(` (( LEFT .AND. .NOT.NOTRAN ) .OR. ( .NOT.LEFT .AND. NOTRAN ) ) `)` , `(` LEFT `)` , `(` necessary `)` , `(` (( LEFT .AND. NOTRAN ) .OR. ( .NOT.LEFT .AND. .NOT.NOTRAN ) ) `)`