Routine PZUNMLQ() Documented By Universal Report

Routine: PZUNMLQ()

File: SRC\pzunmlq.f

# lines:	452
# code:	452
# comment:	0
# blank:	0
# Variables:	65
# Callers:	2
# Callings:	3
# Words:	248
# Keywords:	163

..
     .. Array Arguments ..
     ..
  Purpose
  =======
  PZUNMLQ 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(k)' . . . H(2)' H(1)'
  as returned by PZGELQF. 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+M-1)) if SIDE='L',
          and (LLD_A,LOCc(JA+N-1)) if SIDE='R', where
          LLD_A >= max(1,LOCr(IA+K-1)); On entry, the i-th row must
          contain the vector which defines the elementary reflector
          H(i), IA <= i <= IA+K-1, as returned by PZGELQF in the
          K rows of its distributed matrix argument A(IA:IA+K-1,JA:*).
          A(IA:IA+K-1,JA:*) is modified by the routine but restored on
          exit.
  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(IA+K-1).
          This array contains the scalar factors TAU(i) of the
          elementary reflectors H(i) as returned by PZGELQF.
          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( (MB_A*(MB_A-1))/2, ( MpC0 + MAX( MqA0 +
                     NUMROC( NUMROC( M+IROFFC, MB_A, 0, 0, NPROW ),
                             MB_A, 0, 0, LCMP ), NqC0 ) )*MB_A ) +
                     MB_A * MB_A
          else if SIDE = 'R',
            LWORK >= MAX( (MB_A*(MB_A-1))/2, (MpC0 + NqC0)*MB_A ) +
                     MB_A * MB_A
          end if
          where LCMP = LCM / NPROW with LCM = ICLM( NPROW, NPCOL ),
          IROFFA = MOD( IA-1, MB_A ), ICOFFA = MOD( JA-1, NB_A ),
          IACOL = INDXG2P( JA, NB_A, MYCOL, CSRC_A, NPCOL ),
          MqA0 = NUMROC( M+ICOFFA, NB_A, MYCOL, IACOL, NPCOL ),
          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',
    ( NB_A.EQ.MB_C .AND. ICOFFA.EQ.IROFFC )
  If SIDE = 'R',
    ( NB_A.EQ.NB_C .AND. ICOFFA.EQ.ICOFFC .AND. IACOL.EQ.ICCOL )
  =====================================================================
     .. Parameters ..

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001        SUBROUTINE PZUNMLQ( 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 , TRANST
021        INTEGER I , I1 , I2 , I3 , IACOL , IB , ICC , ICCOL , ICOFFA ,
022       $ICOFFC , ICROW , ICTXT , IINFO , IPW , IROFFC , JCC ,
023       $LCM , LCMP , LWMIN , MI , MPC0 , MQA0 , MYCOL , MYROW ,
024       $NI , 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       $PZUNML2  
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( K , 5 , M , 3 , IA , JA , DESCA , 9 , INFO )
063            ELSE
063                   
064                NQ = N
065                CALL CHK1MAT( K , 5 , N , 4 , 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                ICOFFA = MOD( JA - 1 , DESCA( NB_ ) )
070                IROFFC = MOD( IC - 1 , DESCC( MB_ ) )
071                ICOFFC = MOD( JC - 1 , DESCC( NB_ ) )
072                IACOL = INDXG2P( JA , DESCA( NB_ ) , MYCOL , DESCA( CSRC_ ) ,
073       $        NPCOL )
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                    MQA0 = NUMROC( M + ICOFFA , DESCA( NB_ ) , MYCOL , IACOL ,
083       $            NPCOL )
084                    LCM = ILCM( NPROW , NPCOL )
085                    LCMP = LCM / NPROW
086                    LWMIN = MAX(( DESCA( MB_ ) * ( DESCA( MB_ ) - 1 ) )
087       $            / 2 ,( MPC0 + MAX( MQA0 + NUMROC( NUMROC(
088       $            M + IROFFC , DESCA( MB_ ) , 0 , 0 , NPROW ) ,
089       $            DESCA( MB_ ) , 0 , 0 , LCMP ) , NQC0 ) ) *
090       $            DESCA( MB_ ) ) + DESCA( MB_ ) * DESCA( MB_ )
091                ELSE
091                       
092                    LWMIN = MAX(( DESCA( MB_ ) * ( DESCA( MB_ ) - 1 ) ) / 2 ,
093       $( MPC0 + NQC0 ) * DESCA( MB_ ) ) +
093                       
094       $            DESCA( MB_ ) * DESCA( MB_ )
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( LEFT .AND. DESCA( NB_ ).NE.DESCC( MB_ ) ) THEN
105                       
106                    INFO = - (900 + NB_)
107                ELSE IF( LEFT .AND. ICOFFA.NE.IROFFC ) THEN
107                       
108                    INFO = - 12
109                ELSE IF( .NOT.LEFT .AND. ICOFFA.NE.ICOFFC ) THEN
109                       
110                    INFO = - 13
111                ELSE IF( .NOT.LEFT .AND. IACOL.NE.ICCOL ) THEN
111                       
112                    INFO = - 13
113                ELSE IF( .NOT.LEFT .AND. DESCA( NB_ ).NE.DESCC( NB_ ) ) THEN
113                       
114                    INFO = - (1400 + NB_)
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            IF( LEFT ) THEN
121                   
122                IDUM1( 1 ) = ICHAR( 'L' )
123            ELSE
123                   
124                IDUM1( 1 ) = ICHAR( 'R' )
125            END IF
126            IDUM2( 1 ) = 1
127            IF( NOTRAN ) THEN
127                   
128                IDUM1( 2 ) = ICHAR( 'N' )
129            ELSE
129                   
130                IDUM1( 2 ) = ICHAR( 'C' )
131            END IF
132            IDUM2( 2 ) = 2
133            IDUM1( 3 ) = K
134            IDUM2( 3 ) = 5
135            IF( LWORK.EQ. - 1 ) THEN
135                   
136                IDUM1( 4 ) = - 1
137            ELSE
137                   
138                IDUM1( 4 ) = 1
139            END IF
140            IDUM2( 4 ) = 16
141            IF( LEFT ) THEN
141                   
142                CALL PCHK2MAT( K , 5 , M , 3 , IA , JA , DESCA , 9 , M , 3 , N , 4 , IC ,
143       $        JC , DESCC , 14 , 4 , IDUM1 , IDUM2 , INFO )
144            ELSE
144                   
145                CALL PCHK2MAT( K , 5 , N , 4 , IA , JA , DESCA , 9 , M , 3 , N , 4 , IC ,
146       $        JC , DESCC , 14 , 4 , IDUM1 , IDUM2 , INFO )
147            END IF
148        END IF
149  
150        IF( INFO.NE.0 ) THEN
150               
151            CALL PXERBLA( ICTXT , 'PZUNMLQ' , - INFO )
152            RETURN
153        ELSE IF( LQUERY ) THEN
153               
154            RETURN
155        END IF
156  
157  *     Quick return if possible
158  
159        IF( M.EQ.0 .OR. N.EQ.0 .OR. K.EQ.0 )
159               
160       $    RETURN
161  
162            CALL PB_TOPGET( ICTXT , 'Broadcast' , 'Rowwise' , ROWBTOP )
163            CALL PB_TOPGET( ICTXT , 'Broadcast' , 'Columnwise' , COLBTOP )
164  
165            IF(( LEFT .AND. NOTRAN ) .OR.
166       $( .NOT.LEFT .AND. .NOT.NOTRAN ) ) THEN
166               
167            I1 = MIN( ICEIL( IA , DESCA( MB_ ) ) * DESCA( MB_ ) , IA + K - 1 )
168       $    + 1
169            I2 = IA + K - 1
170            I3 = DESCA( MB_ )
171        ELSE
171               
172            I1 = MAX(((IA + K - 2) / DESCA( MB_ ) ) * DESCA( MB_ ) + 1 , IA )
173            I2 = MIN( ICEIL( IA , DESCA( MB_ ) ) * DESCA( MB_ ) , IA + K - 1 )
174       $    + 1
175            I3 = - DESCA( MB_ )
176        END IF
177  
178        IF( LEFT ) THEN
178               
179            NI = N
180            JCC = JC
181        ELSE
181               
182            MI = M
183            ICC = IC
184            CALL PB_TOPSET( ICTXT , 'Broadcast' , 'Rowwise' , ' ' )
185            IF( NOTRAN ) THEN
185                   
186                CALL PB_TOPSET( ICTXT , 'Broadcast' , 'Columnwise' , 'D - ring' )
187            ELSE
187                   
188                CALL PB_TOPSET( ICTXT , 'Broadcast' , 'Columnwise' , 'I - ring' )
189            END IF
190        END IF
191  
192        IF( NOTRAN ) THEN
192               
193            TRANST = 'C'
194        ELSE
194               
195            TRANST = 'N'
196        END IF
197  
198        IF(( LEFT .AND. NOTRAN ) .OR.( .NOT.LEFT .AND. .NOT.NOTRAN ) )
198               
199       $    CALL PZUNML2 ( SIDE , TRANS , M , N , I1 - IA , A , IA , JA , DESCA , TAU ,
200       $    C , IC , JC , DESCC , WORK , LWORK , IINFO )
201  
202            IPW = DESCA( MB_ ) * DESCA( MB_ ) + 1
203            DO 10 I = I1 , I2 , I3
203                   
204                IB = MIN( DESCA( MB_ ) , K - I + IA )
205  
206  *             Form the triangular factor of the block reflector
207  *             H = H(i) H(i + 1) . . . H(i + ib - 1)
208  
209                CALL PZLARFT ( 'Forward' , 'Rowwise' , NQ - I + IA , IB , A , I , JA + I - IA ,
210       $        DESCA , TAU , WORK , WORK( IPW ) )
211                IF( LEFT ) THEN
212  
213  *                 H or H' is applied to C(ic + i - ia : ic + m - 1 , jc : jc + n - 1)
214  
214                       
215                    MI = M - I + IA
216                    ICC = IC + I - IA
217                ELSE
218  
219  *                 H or H' is applied to C(ic : ic + m - 1 , jc + i - ia : jc + n - 1)
220  
220                       
221                    NI = N - I + IA
222                    JCC = JC + I - IA
223                END IF
224  
225  *             Apply H or H'
226  
227                CALL PZLARFB ( SIDE , TRANST , 'Forward' , 'Rowwise' , MI , NI , IB ,
228       $        A , I , JA + I - IA , DESCA , WORK , C , ICC , JCC , DESCC ,
229       $        WORK( IPW ) )
230     10     CONTINUE
231  
231               
232            IF(( LEFT .AND. .NOT.NOTRAN ) .OR.( .NOT.LEFT .AND. NOTRAN ) )
232                   
233       $        CALL PZUNML2 ( SIDE , TRANS , M , N , I2 - IA , A , IA , JA , DESCA , TAU ,
234       $        C , IC , JC , DESCC , WORK , LWORK , IINFO )
235  
236                CALL PB_TOPSET( ICTXT , 'Broadcast' , 'Rowwise' , ROWBTOP )
237                CALL PB_TOPSET( ICTXT , 'Broadcast' , 'Columnwise' , COLBTOP )
238  
239                WORK( 1 ) = DCMPLX( DBLE( LWMIN ) )
240  
241                RETURN
242  
243  *             End of PZUNMLQ
244  
245            END2733

Variables in Routine PZUNMLQ()

Summary Report
Data Type	Quantity	Size(byte)
CHARACTER	5	5
INTEGER	55	248
LOGICAL	4	4
REAL	1	4
TOTAL	65	261

List of Variables

CHARACTER

COLBTOP ROWBTOP SIDE TRANS TRANST

INTEGER

BLOCK_CYCLIC_2D CSRC_ CTXT_ DLEN_ DTYPE_
I I1 I2 I3 IA
IACOL IB IC ICC ICCOL
ICEIL ICOFFA ICOFFC ICROW ICTXT
IDUM1( 4 ) IDUM2( 4 ) IINFO ILCM INDXG2P
INFO IPW IROFFC JA JC
JCC K LCM LCMP LLD_
LWMIN LWORK M M_ MB_
MI MPC0 MQA0 MYCOL MYROW
N N_ NB_ NI 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
-
- -
I <--- I3DO 10 I = I1, I2, I3, I1DO 10 I = I1, I2, I3, I2DO 10 I = I1, I2, I3

I1 <--- IA{2}, ICEIL, K{2}, MB_{2}

I2 <--- IAI2 = IA + K - 1{2}, ICEIL, KI2 = IA + K - 1{2}, MB_

I3 <--- MB_I3 = DESCA( MB_ ){2I3 = -DESCA( MB_ )}

IACOL <--- INDXG2P, CSRC_, JA, MYCOL, NB_, NPCOL

IB <--- IAIB = MIN( DESCA( MB_ ), K-I+IA ), KIB = MIN( DESCA( MB_ ), K-I+IA ), MB_IB = MIN( DESCA( MB_ ), K-I+IA ), IIB = MIN( DESCA( MB_ ), K-I+IA )

ICC <--- IAICC = IC + I - IA, ICICC = IC{2ICC = IC + I - IA}, IICC = IC + I - IA

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

ICOFFA <--- JAICOFFA = MOD( JA-1, DESCA( NB_ ) ), NB_ICOFFA = MOD( JA-1, DESCA( NB_ ) )

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

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

ICTXT <--- CTXT_ICTXT = DESCA( CTXT_ )

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

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

IPW <--- MB_IPW = DESCA( MB_ ) * DESCA( MB_ ) + 1

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

JCC <--- IAJCC = JC + I - IA, JCJCC = JC{2JCC = JC + I - IA}, IJCC = JC + I - IA

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

LCMP <--- LCMLCMP = LCM / NPROW, NPROWLCMP = LCM / NPROW

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

LWMIN <--- IROFFC, LCMP, M, MB_{2}, MPC0{2}, MQA0, NPROW, NQC0{2}, NUMROC

MI <--- IAMI = M - I + IA, MMI = M{2MI = M - I + IA}, IMI = M - I + IA

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

MQA0 <--- IACOL, ICOFFA, M, MYCOL, NB_, NPCOL, NUMROC

NI <--- IANI = N - I + IA, NNI = N{2NI = N - I + IA}, INI = N - I + IA

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

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

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

TRANST <--- NTRANST = 'N'

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

Analysis elements of the routine PZUNMLQ()
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Assigned variables
		BLOCK_CYCLIC_2D , CSRC_ , CTXT_ , DLEN_ , DTYPE_ , I , I1 , I2 , I3 , IACOL , IB , ICC , ICCOL , ICOFFA , ICOFFC , ICROW , ICTXT , IDUM1 , IDUM2 , INFO , IPW , IROFFC , JCC , LCM , LCMP , LEFT , LLD_ , LQUERY , LWMIN , M_ , MB_ , MI , MPC0 , MQA0 , N_ , NB_ , NI , NOTRAN , NQ , NQC0 , RSRC_ , TRANST , WORK

Active variables
		A , BLOCK_CYCLIC_2D , C , COLBTOP , CSRC_ , CTXT_ , DESCA , DESCC , DLEN_ , DTYPE_ , I , I1 , I2 , I3 , IA , IACOL , IB , IC , ICC , ICCOL , ICEIL , ICOFFA , ICOFFC , ICROW , ICTXT , IDUM1 , IDUM2 , IINFO , ILCM , INDXG2P , INFO , IPW , IROFFC , JA , JC , JCC , K , LCM , LCMP , LEFT , LLD_ , LQUERY , LSAME , LWMIN , LWORK , M , M_ , MB_ , MI , MPC0 , MQA0 , MYCOL , MYROW , N , N_ , NB_ , NI , NOTRAN , NPCOL , NPROW , NQ , NQC0 , NUMROC , ROWBTOP , RSRC_ , SIDE , TAU , TRANS , TRANST , WORK

Accessed arrays [ array name : associated index ]
	C	: ic:ic+m-1,jc+i-ia:jc+n-1 , ic+i-ia:ic+m-1,jc:jc+n-1
	DESCA	: CSRC_ , CTXT_ , MB_ , MB_ , MB_ , MB_ , MB_ , MB_ , MB_ , MB_ , MB_ , MB_ , MB_ , MB_ , MB_ , MB_ , NB_ , NB_ , NB_ , NB_ , NB_
	DESCC	: CSRC_ , CTXT_ , MB_ , MB_ , MB_ , MB_ , NB_ , NB_ , NB_ , NB_ , RSRC_
	ICEIL	: IA, DESCA( MB_ ) , IA, DESCA( MB_ )
	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 I = I1 , I2 , I3 `)`
	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 `)` , `(` (LEFT .AND. DESCA( NB_ ).NE.DESCC( MB_ ) ) `)` , `(` LEFT .AND. ICOFFA.NE.IROFFC `)` , `(` .NOT.LEFT .AND. ICOFFA.NE.ICOFFC `)` , `(` .NOT.LEFT .AND. IACOL.NE.ICCOL `)` , `(` (.NOT.LEFT .AND. DESCA( NB_ ).NE.DESCC( NB_ ) ) `)` , `(` (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. NOTRAN ) .OR. `)` , `(` LEFT `)` , `(` NOTRAN `)` , `(` NOTRAN `)` , `(` (( LEFT .AND. NOTRAN ) .OR. ( .NOT.LEFT .AND. .NOT.NOTRAN ) ) `)` , `(` LEFT `)` , `(` (( LEFT .AND. .NOT.NOTRAN ) .OR. ( .NOT.LEFT .AND. NOTRAN ) ) `)`