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..
.. Array Arguments ..
..
Purpose
=======
PSORM2L overwrites the general real 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 = 'T': Q**T * sub( C ) sub( C ) * Q**T
where Q is a real orthogonal distributed matrix defined as the
product of K elementary reflectors
Q = H(k) . . . H(2) H(1)
as returned by PSGEQLF. 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**T from the Left;
= 'R': apply Q or Q**T from the Right.
TRANS (global input) CHARACTER
= 'N': No transpose, apply Q;
= 'T': Transpose, apply Q**T.
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) REAL 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
PSGEQLF 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) REAL, array, dimension LOCc(JA+N-1)
This array contains the scalar factors TAU(j) of the
elementary reflectors H(j) as returned by PSGEQLF.
TAU is tied to the distributed matrix A.
C (local input/local output) REAL 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) REAL 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 >= MpC0 + MAX( 1, NqC0 );
if SIDE = 'R', LWORK >= NqC0 + MAX( MAX( 1, MpC0 ), NUMROC(
NUMROC( N+ICOFFC,NB_A,0,0,NPCOL ),NB_A,0,0,LCMQ ) );
where LCMQ = LCM / NPCOL with LCM = ICLM( NPROW, 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 (local 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 PSORM2L( 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 REAL ONE
018 PARAMETER( ONE = 1.0E + 0 )
019 * ..
020 * .. Local Scalars ..
021 LOGICAL LEFT , LQUERY , NOTRAN
022 CHARACTER COLBTOP , ROWBTOP
023 INTEGER IACOL , IAROW , ICCOL , ICOFFC , ICROW , ICTXT , ICC ,
024 $II , IROFFA , IROFFC , J , J1 , J2 , J3 , JCC , JJ ,
025 $LCM , LCMQ , LWMIN , MI , MP , MPC0 , MYCOL , MYROW ,
026 $NI , NPCOL , NPROW , NQ , NQC0
027 REAL AJJ
028 * ..
029 * .. External Subroutines ..
030 EXTERNAL BLACS_ABORT , BLACS_GRIDINFO , CHK1MAT , INFOG2L ,
031 $PSELSET , PSELSET2 , PSLARF , PB_TOPGET ,
032 $PB_TOPSET , PXERBLA , SGEBR2D , SGEBS2D ,
033 $SGERV2D , SGESD2D , SSCAL
034 * ..
035 * .. External Functions ..
036 LOGICAL LSAME
037 INTEGER ILCM , INDXG2P , NUMROC
038 EXTERNAL ILCM , INDXG2P , LSAME , NUMROC
039 * ..
040 * .. Intrinsic Functions ..
041 INTRINSIC MAX , MOD , REAL
042 * ..
043 * .. Executable Statements ..
044
045 * Get grid parameters
046
047 ICTXT = DESCA( CTXT_ )
048 CALL BLACS_GRIDINFO( ICTXT , NPROW , NPCOL , MYROW , MYCOL )
049
050 * Test the input parameters
051
052 INFO = 0
053 IF( NPROW.EQ. - 1 ) THEN
053
054 INFO = - (900 + CTXT_)
055 ELSE
055
056 LEFT = LSAME( SIDE , 'L' )
057 NOTRAN = LSAME( TRANS , 'N' )
058
059 * NQ is the order of Q
060
061 IF( LEFT ) THEN
061
062 NQ = M
063 CALL CHK1MAT( M , 3 , K , 5 , IA , JA , DESCA , 9 , INFO )
064 ELSE
064
065 NQ = N
066 CALL CHK1MAT( N , 4 , K , 5 , IA , JA , DESCA , 9 , INFO )
067 END IF
068 CALL CHK1MAT( M , 3 , N , 4 , IC , JC , DESCC , 14 , INFO )
069 IF( INFO.EQ.0 ) THEN
069
070 IROFFA = MOD( IA - 1 , DESCA( MB_ ) )
071 IROFFC = MOD( IC - 1 , DESCC( MB_ ) )
072 ICOFFC = MOD( JC - 1 , DESCC( NB_ ) )
073 IAROW = INDXG2P( IA , DESCA( MB_ ) , MYROW , DESCA( RSRC_ ) ,
074 $ NPROW )
075 ICROW = INDXG2P( IC , DESCC( MB_ ) , MYROW , DESCC( RSRC_ ) ,
076 $ NPROW )
077 ICCOL = INDXG2P( JC , DESCC( NB_ ) , MYCOL , DESCC( CSRC_ ) ,
078 $ NPCOL )
079 MPC0 = NUMROC( M + IROFFC , DESCC( MB_ ) , MYROW , ICROW , NPROW )
080 NQC0 = NUMROC( N + ICOFFC , DESCC( NB_ ) , MYCOL , ICCOL , NPCOL )
081
082 IF( LEFT ) THEN
082
083 LWMIN = MPC0 + MAX( 1 , NQC0 )
084 ELSE
084
085 LCM = ILCM( NPROW , NPCOL )
086 LCMQ = LCM / NPCOL
087 LWMIN = NQC0 + MAX( MAX( 1 , MPC0 ) , NUMROC( NUMROC(
088 $ N + ICOFFC , DESCA( NB_ ) , 0 , 0 , NPCOL ) ,
089 $ DESCA( NB_ ) , 0 , 0 , LCMQ ) )
090 END IF
091
092 WORK( 1 ) = REAL( LWMIN )
093 LQUERY =( LWORK.EQ. - 1 )
094 IF( .NOT.LEFT .AND. .NOT.LSAME( SIDE , 'R' ) ) THEN
094
095 INFO = - 1
096 ELSE IF( .NOT.NOTRAN .AND. .NOT.LSAME( TRANS , 'T' ) ) THEN
096
097 INFO = - 2
098 ELSE IF( K.LT.0 .OR. K.GT.NQ ) THEN
098
099 INFO = - 5
100 ELSE IF( .NOT.LEFT .AND. DESCA( MB_ ).NE.DESCC( NB_ ) ) THEN
100
101 INFO = - (900 + NB_)
102 ELSE IF( LEFT .AND. IROFFA.NE.IROFFC ) THEN
102
103 INFO = - 12
104 ELSE IF( LEFT .AND. IAROW.NE.ICROW ) THEN
104
105 INFO = - 12
106 ELSE IF( .NOT.LEFT .AND. IROFFA.NE.ICOFFC ) THEN
106
107 INFO = - 13
108 ELSE IF( LEFT .AND. DESCA( MB_ ).NE.DESCC( MB_ ) ) THEN
108
109 INFO = - (1400 + MB_)
110 ELSE IF( ICTXT.NE.DESCC( CTXT_ ) ) THEN
110
111 INFO = - (1400 + CTXT_)
112 ELSE IF( LWORK.LT.LWMIN .AND. .NOT.LQUERY ) THEN
112
113 INFO = - 16
114 END IF
115 END IF
116 END IF
117 IF( INFO.NE.0 ) THEN
117
118 CALL PXERBLA( ICTXT , 'PSORM2L' , - INFO )
119 CALL BLACS_ABORT( ICTXT , 1 )
120 RETURN
121 ELSE IF( LQUERY ) THEN
121
122 RETURN
123 END IF
124
125 * Quick return if possible
126
127 IF( M.EQ.0 .OR. N.EQ.0 .OR. K.EQ.0 )
127
128 $ RETURN
129
130 IF( DESCA( M_ ).EQ.1 ) THEN
130
131 CALL INFOG2L( IA , JA , DESCA , NPROW , NPCOL , MYROW , MYCOL , II ,
132 $ JJ , IAROW , IACOL )
133 CALL INFOG2L( IC , JC , DESCC , NPROW , NPCOL , MYROW , MYCOL , ICC ,
134 $ JCC , ICROW , ICCOL )
135 IF( LEFT ) THEN
135
136 IF( MYROW.EQ.IAROW ) THEN
136
137 NQ = NUMROC( JC + N - 1 , DESCC( NB_ ) , MYCOL , DESCC( CSRC_ ) ,
138 $ NPCOL )
139 IF( MYCOL.EQ.IACOL ) THEN
139
140 AJJ = ONE - TAU( JJ )
141 CALL SGEBS2D( ICTXT , 'Rowwise' , ' ' , 1 , 1 , AJJ , 1 )
142 CALL SSCAL( NQ - JCC + 1 , AJJ ,
143 $ C( ICC + (JCC - 1)*DESCC( LLD_ ) ) ,
144 $ DESCC( LLD_ ) )
145 ELSE
145
146 CALL SGEBR2D( ICTXT , 'Rowwise' , ' ' , 1 , 1 , AJJ , 1 ,
147 $ IAROW , IACOL )
148 CALL SSCAL( NQ - JCC + 1 , AJJ ,
149 $ C( ICC + (JCC - 1)*DESCC( LLD_ ) ) ,
150 $ DESCC( LLD_ ) )
151 END IF
152 END IF
153 ELSE
153
154 IF( MYCOL.EQ.IACOL ) THEN
154
155 AJJ = ONE - TAU( JJ )
156 END IF
157
158 IF( IACOL.NE.ICCOL ) THEN
158
159 IF( MYCOL.EQ.IACOL )
159
160 $ CALL SGESD2D( ICTXT , 1 , 1 , AJJ , 1 , MYROW , ICCOL )
161 IF( MYCOL.EQ.ICCOL )
161
162 $ CALL SGERV2D( ICTXT , 1 , 1 , AJJ , 1 , MYROW , IACOL )
163 END IF
164
165 IF( MYCOL.EQ.ICCOL ) THEN
165
166 MP = NUMROC( IC + M - 1 , DESCC( MB_ ) , MYROW , DESCC( RSRC_ ) ,
167 $ NPROW )
168 CALL SSCAL( MP - ICC + 1 , AJJ , C( ICC + (JCC - 1)*
169 $ DESCC( LLD_ ) ) , 1 )
170 END IF
171
172 END IF
173
174 ELSE
175
175
176 CALL PB_TOPGET( ICTXT , 'Broadcast' , 'Rowwise' , ROWBTOP )
177 CALL PB_TOPGET( ICTXT , 'Broadcast' , 'Columnwise' , COLBTOP )
178
179 IF( LEFT .AND. NOTRAN .OR. .NOT.LEFT .AND. .NOT.NOTRAN ) THEN
179
180 J1 = JA
181 J2 = JA + K - 1
182 J3 = 1
183 ELSE
183
184 J1 = JA + K - 1
185 J2 = JA
186 J3 = - 1
187 END IF
188
189 IF( LEFT ) THEN
189
190 NI = N
191 IF( NOTRAN ) THEN
191
192 CALL PB_TOPSET( ICTXT , 'Broadcast' , 'Rowwise' , 'I - ring' )
193 ELSE
193
194 CALL PB_TOPSET( ICTXT , 'Broadcast' , 'Rowwise' , 'D - ring' )
195 END IF
196 CALL PB_TOPSET( ICTXT , 'Broadcast' , 'Columnwise' , ' ' )
197 ELSE
197
198 MI = M
199 END IF
200
201 DO 10 J = J1 , J2 , J3
202
202
203 IF( LEFT ) THEN
204
205 * H(j) or H(j)' is applied to C(ic : ic + m - k + j - ja , jc : jc + n - 1)
206
206
207 MI = M - K + J - JA + 1
208 ELSE
209
210 * H(j) or H(j)' is applied to C(ic : ic + m - 1 , jc : jc + n - k + j - ja)
211
211
212 NI = N - K + J - JA + 1
213 END IF
214
215 * Apply H(j) or H(j)'
216
217 CALL PSELSET2( AJJ , A , IA + NQ - K + J - JA , J , DESCA , ONE )
218 CALL PSLARF ( SIDE , MI , NI , A , IA , J , DESCA , 1 , TAU , C , IC ,
219 $ JC , DESCC , WORK )
220 CALL PSELSET( A , IA + NQ - K + J - JA , J , DESCA , AJJ )
221
222 10 CONTINUE
223
223
224 CALL PB_TOPSET( ICTXT , 'Broadcast' , 'Rowwise' , ROWBTOP )
225 CALL PB_TOPSET( ICTXT , 'Broadcast' , 'Columnwise' , COLBTOP )
226
227 END IF
228
229 WORK( 1 ) = REAL( LWMIN )
230
231 RETURN
232
233 * End of PSORM2L
234
235 END35
42
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Variables in Routine PSORM2L()
| Summary Report |
| Data Type | Quantity | Size(byte) |
| CHARACTER | 4 | 4 |
| INTEGER | 52 | 208 |
| LOGICAL | 4 | 4 |
| REAL | 3 | 12 |
| TOTAL | 63 | 228 |
List of Variables
CHARACTER
| COLBTOP | ROWBTOP | SIDE | TRANS | |
INTEGER
| BLOCK_CYCLIC_2D | CSRC_ | CTXT_ | DLEN_ | DTYPE_ |
| IA | IACOL | IAROW | IC | ICC |
| ICCOL | ICOFFC | ICROW | ICTXT | II |
| ILCM | INDXG2P | INFO | IROFFA | IROFFC |
| J | J1 | J2 | J3 | JA |
| JC | JCC | JJ | K | LCM |
| LCMQ | LLD_ | LWMIN | LWORK | M |
| M_ | MB_ | MI | MP | MPC0 |
| MYCOL | MYROW | N | N_ | NB_ |
| NI | NPCOL | NPROW | NQ | NQC0 |
| NUMROC | RSRC_ | | | |
LOGICAL
REAL
Variables Dependence Graph Put the mouse over a right hand side variable to display the corresponding line of the dependence | | - | | - | - | | AJJ | <--- | JJAJJ = ONE - TAU( JJ ){2AJJ = ONE - TAU( JJ )}, ONEAJJ = ONE - TAU( JJ ){2AJJ = ONE - TAU( JJ )} |
| IAROW | <--- | INDXG2PIAROW = INDXG2P( IA, DESCA( MB_ ), MYROW, DESCA( RSRC_ ),, MB_IAROW = INDXG2P( IA, DESCA( MB_ ), MYROW, DESCA( RSRC_ ),, MYROWIAROW = INDXG2P( IA, DESCA( MB_ ), MYROW, DESCA( RSRC_ ),, NPROWIAROW = INDXG2P( IA, DESCA( MB_ ), MYROW, DESCA( RSRC_ ),, RSRC_IAROW = INDXG2P( IA, DESCA( MB_ ), MYROW, DESCA( RSRC_ ),, IAIAROW = INDXG2P( IA, DESCA( MB_ ), MYROW, DESCA( RSRC_ ), |
| ICCOL | <--- | INDXG2PICCOL = INDXG2P( JC, DESCC( NB_ ), MYCOL, DESCC( CSRC_ ),, JCICCOL = INDXG2P( JC, DESCC( NB_ ), MYCOL, DESCC( CSRC_ ),, CSRC_ICCOL = INDXG2P( JC, DESCC( NB_ ), MYCOL, DESCC( CSRC_ ),, MYCOLICCOL = INDXG2P( JC, DESCC( NB_ ), MYCOL, DESCC( CSRC_ ),, NB_ICCOL = INDXG2P( JC, DESCC( NB_ ), MYCOL, DESCC( CSRC_ ),, NPCOLICCOL = INDXG2P( JC, DESCC( NB_ ), MYCOL, DESCC( CSRC_ ), |
| ICOFFC | <--- | JCICOFFC = MOD( JC-1, DESCC( NB_ ) ), NB_ICOFFC = MOD( JC-1, DESCC( NB_ ) ) |
| ICROW | <--- | ICICROW = INDXG2P( IC, DESCC( MB_ ), MYROW, DESCC( RSRC_ ),, INDXG2PICROW = INDXG2P( IC, DESCC( MB_ ), MYROW, DESCC( RSRC_ ),, MB_ICROW = INDXG2P( IC, DESCC( MB_ ), MYROW, DESCC( RSRC_ ),, MYROWICROW = INDXG2P( IC, DESCC( MB_ ), MYROW, DESCC( RSRC_ ),, NPROWICROW = INDXG2P( IC, DESCC( MB_ ), MYROW, DESCC( RSRC_ ),, RSRC_ICROW = INDXG2P( IC, DESCC( MB_ ), MYROW, DESCC( RSRC_ ), |
| ICTXT | <--- | CTXT_ICTXT = DESCA( CTXT_ ) |
| INFO | <--- | MB_INFO = -(1400+MB_), CTXT_INFO = -(1400+CTXT_){2INFO = -(900+CTXT_)}, NB_INFO = -(900+NB_) |
| IROFFA | <--- | MB_IROFFA = MOD( IA-1, DESCA( MB_ ) ), IAIROFFA = MOD( IA-1, DESCA( MB_ ) ) |
| IROFFC | <--- | ICIROFFC = MOD( IC-1, DESCC( MB_ ) ), MB_IROFFC = 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 | <--- | JAJ1 = JA{2J1 = JA+K-1}, KJ1 = JA+K-1 |
| J2 | <--- | JAJ2 = JA+K-1{2J2 = JA}, KJ2 = JA+K-1 |
| 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 | <--- | ICOFFCLWMIN = NQC0 + MAX( MAX( 1, MPC0 ), NUMROC( NUMROC(, LCMQLWMIN = NQC0 + MAX( MAX( 1, MPC0 ), NUMROC( NUMROC(, MPC0LWMIN = MPC0 + MAX( 1, NQC0 ){2LWMIN = NQC0 + MAX( MAX( 1, MPC0 ), NUMROC( NUMROC(}, NLWMIN = NQC0 + MAX( MAX( 1, MPC0 ), NUMROC( NUMROC(, NB_LWMIN = NQC0 + MAX( MAX( 1, MPC0 ), NUMROC( NUMROC(, NPCOLLWMIN = NQC0 + MAX( MAX( 1, MPC0 ), NUMROC( NUMROC(, NQC0LWMIN = MPC0 + MAX( 1, NQC0 ){2LWMIN = NQC0 + MAX( MAX( 1, MPC0 ), NUMROC( NUMROC(}, NUMROCLWMIN = NQC0 + MAX( MAX( 1, MPC0 ), NUMROC( NUMROC( |
| MI | <--- | JMI = M - K + J - JA + 1, JAMI = M - K + J - JA + 1, KMI = M - K + J - JA + 1, MMI = M{2MI = M - K + J - JA + 1} |
| MP | <--- | ICMP = NUMROC( IC+M-1, DESCC( MB_ ), MYROW, DESCC( RSRC_ ),, MMP = NUMROC( IC+M-1, DESCC( MB_ ), MYROW, DESCC( RSRC_ ),, MB_MP = NUMROC( IC+M-1, DESCC( MB_ ), MYROW, DESCC( RSRC_ ),, MYROWMP = NUMROC( IC+M-1, DESCC( MB_ ), MYROW, DESCC( RSRC_ ),, NPROWMP = NUMROC( IC+M-1, DESCC( MB_ ), MYROW, DESCC( RSRC_ ),, NUMROCMP = NUMROC( IC+M-1, DESCC( MB_ ), MYROW, DESCC( RSRC_ ),, RSRC_MP = NUMROC( IC+M-1, DESCC( MB_ ), MYROW, DESCC( RSRC_ ), |
| MPC0 | <--- | ICROWMPC0 = NUMROC( M+IROFFC, DESCC( MB_ ), MYROW, ICROW, NPROW ), IROFFCMPC0 = NUMROC( M+IROFFC, DESCC( MB_ ), MYROW, ICROW, NPROW ), MMPC0 = NUMROC( M+IROFFC, DESCC( MB_ ), MYROW, ICROW, NPROW ), MB_MPC0 = NUMROC( M+IROFFC, DESCC( MB_ ), MYROW, ICROW, NPROW ), MYROWMPC0 = NUMROC( M+IROFFC, DESCC( MB_ ), MYROW, ICROW, NPROW ), NPROWMPC0 = NUMROC( M+IROFFC, DESCC( MB_ ), MYROW, ICROW, NPROW ), NUMROCMPC0 = NUMROC( M+IROFFC, DESCC( MB_ ), MYROW, ICROW, NPROW ) |
| NI | <--- | JNI = N - K + J - JA + 1, JANI = N - K + J - JA + 1, KNI = N - K + J - JA + 1, NNI = N{2NI = N - K + J - JA + 1} |
| NOTRAN | <--- | LSAMENOTRAN = LSAME( TRANS, 'N' ), NNOTRAN = LSAME( TRANS, 'N' ), TRANSNOTRAN = LSAME( TRANS, 'N' ) |
| NQ | <--- | JCNQ = NUMROC( JC+N-1, DESCC( NB_ ), MYCOL, DESCC( CSRC_ ),, CSRC_NQ = NUMROC( JC+N-1, DESCC( NB_ ), MYCOL, DESCC( CSRC_ ),, MNQ = M, MYCOLNQ = NUMROC( JC+N-1, DESCC( NB_ ), MYCOL, DESCC( CSRC_ ),, NNQ = NUMROC( JC+N-1, DESCC( NB_ ), MYCOL, DESCC( CSRC_ ),{2NQ = N}, NB_NQ = NUMROC( JC+N-1, DESCC( NB_ ), MYCOL, DESCC( CSRC_ ),, NPCOLNQ = NUMROC( JC+N-1, DESCC( NB_ ), MYCOL, DESCC( CSRC_ ),, NUMROCNQ = NUMROC( JC+N-1, DESCC( NB_ ), MYCOL, DESCC( CSRC_ ), |
| NQC0 | <--- | ICCOLNQC0 = NUMROC( N+ICOFFC, DESCC( NB_ ), MYCOL, ICCOL, NPCOL ), ICOFFCNQC0 = NUMROC( N+ICOFFC, DESCC( NB_ ), MYCOL, ICCOL, NPCOL ), MYCOLNQC0 = NUMROC( N+ICOFFC, DESCC( NB_ ), MYCOL, ICCOL, NPCOL ), NNQC0 = NUMROC( N+ICOFFC, DESCC( NB_ ), MYCOL, ICCOL, NPCOL ), NB_NQC0 = NUMROC( N+ICOFFC, DESCC( NB_ ), MYCOL, ICCOL, NPCOL ), NPCOLNQC0 = NUMROC( N+ICOFFC, DESCC( NB_ ), MYCOL, ICCOL, NPCOL ), NUMROCNQC0 = NUMROC( N+ICOFFC, DESCC( NB_ ), MYCOL, ICCOL, NPCOL ) |
| WORK | <--- | LWMINWORK( 1 ) = REAL( LWMIN ){2WORK( 1 ) = REAL( LWMIN )} |
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Analysis elements of the routine PSORM2L() Put the mouse over each element to display detailed matching information
Assigned variables |
| | | AJJ , BLOCK_CYCLIC_2D , CSRC_ , CTXT_ , DLEN_ , DTYPE_ , IAROW , ICCOL , ICOFFC , ICROW , ICTXT , INFO , IROFFA , IROFFC , J , J1 , J2 , J3 , LCM , LCMQ , LEFT , LLD_ , LQUERY , LWMIN , M_ , MB_ , MI , MP , MPC0 , N_ , NB_ , NI , NOTRAN , NQ , NQC0 , ONE , RSRC_ , WORK |
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Active variables |
| | | A , AJJ , BLOCK_CYCLIC_2D , C , COLBTOP , CSRC_ , CTXT_ , DESCA , DESCC , DLEN_ , DTYPE_ , IA , IACOL , IAROW , IC , ICC , ICCOL , ICOFFC , ICROW , ICTXT , II , ILCM , INDXG2P , INFO , IROFFA , IROFFC , J , J1 , J2 , J3 , JA , JC , JCC , JJ , K , LCM , LCMQ , LEFT , LLD_ , LQUERY , LSAME , LWMIN , LWORK , M , M_ , MB_ , MI , MP , MPC0 , MYCOL , MYROW , N , N_ , NB_ , NI , NOTRAN , NPCOL , NPROW , NQ , NQC0 , NUMROC , ONE , ROWBTOP , RSRC_ , SIDE , TAU , TRANS , WORK |
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Accessed arrays [ array name : associated index ] |
| | C | : ic:ic+m-1,jc:jc+n-k+j-ja , ic:ic+m-k+j-ja,jc:jc+n-1 , ICC+(JCC-1)*DESCC( LLD_ ) , ICC+(JCC-1)*DESCC( LLD_ ) |
| | DESCA | : CTXT_ , M_ , MB_ , MB_ , MB_ , MB_ , NB_ , NB_ , RSRC_ |
| | DESCC | : CSRC_ , CSRC_ , CTXT_ , LLD_ , LLD_ , LLD_ , LLD_ , LLD_ , MB_ , MB_ , MB_ , MB_ , MB_ , NB_ , NB_ , NB_ , NB_ , NB_ , RSRC_ , RSRC_ |
| | ILCM | : NPROW, NPCOL |
| | LSAME | : SIDE, 'L' , SIDE, 'R' , TRANS, 'N' , TRANS, 'T' |
| | NUMROC | : M+IROFFC, DESCC( MB_ ), MYROW, ICROW, NPROW , N+ICOFFC, DESCC( NB_ ), MYCOL, ICCOL, NPCOL |
| | TAU | : JJ , JJ |
| | WORK | : 1 , 1 |
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Conditional statements [ statement : associated predicate ] |
| | do | : ( 10 J = J1 , J2 , J3 ) |
| | if | : ( NPROW.EQ. - 1 ) , ( LEFT ) , ( INFO.EQ.0 ) , ( LEFT ) , ( (.NOT.LEFT .AND. .NOT.LSAME( SIDE , 'R' ) ) ) , ( (.NOT.NOTRAN .AND. .NOT.LSAME( TRANS , 'T' ) ) ) , ( 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 ) , ( INFO.NE.0 ) , ( LQUERY ) , ( possible ) , ( M.EQ.0 .OR. N.EQ.0 .OR. K.EQ.0 ) , ( (DESCA( M_ ).EQ.1 ) ) , ( LEFT ) , ( MYROW.EQ.IAROW ) , ( MYCOL.EQ.IACOL ) , ( MYCOL.EQ.IACOL ) , ( IACOL.NE.ICCOL ) , ( MYCOL.EQ.IACOL ) , ( MYCOL.EQ.ICCOL ) , ( MYCOL.EQ.ICCOL ) , ( LEFT .AND. NOTRAN .OR. .NOT.LEFT .AND. .NOT.NOTRAN ) , ( LEFT ) , ( NOTRAN ) , ( LEFT ) |
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| List of variables | AJJ BLOCK_CYCLIC_2D COLBTOP CSRC_ CTXT_ DLEN_ DTYPE_
| IA IACOL IAROW IC ICC ICCOL ICOFFC ICROW
| ICTXT II ILCM INDXG2P INFO IROFFA IROFFC J
| J1 J2 J3 JA JC JCC JJ K
| LCM LCMQ LEFT LLD_ LQUERY LSAME LWMIN LWORK
| M M_ MB_ MI MP MPC0 MYCOL MYROW
| N N_ NB_ NI NOTRAN NPCOL NPROW NQ
| NQC0 NUMROC ONE ROWBTOP RSRC_ SIDE TRANS WORK | | close
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AJJ
BLOCK_CYCLIC_2D
COLBTOP
CSRC_
CTXT_
DLEN_
DTYPE_
IA
IACOL
IAROW
IC
ICC
ICCOL
ICOFFC
ICROW
ICTXT
II
ILCM
INDXG2P
INFO
IROFFA
IROFFC
J
J1
J2
J3
JA
JC
JCC
JJ
K
LCM
LCMQ
LEFT
LLD_
LQUERY
LSAME
LWMIN
LWORK
M
M_
MB_
MI
MP
MPC0
MYCOL
MYROW
N
N_
NB_
NI
NOTRAN
NPCOL
NPROW
NQ
NQC0
NUMROC
ONE
ROWBTOP
RSRC_
SIDE
TRANS
WORK
382
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