SCALAPACK 2.2.2
LAPACK: Linear Algebra PACKage
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◆ descinit()

subroutine descinit ( integer, dimension( * )  desc,
integer  m,
integer  n,
integer  mb,
integer  nb,
integer  irsrc,
integer  icsrc,
integer  ictxt,
integer  lld,
integer  info 
)

Definition at line 1 of file descinit.f.

3*
4* -- ScaLAPACK tools routine (version 1.7) --
5* University of Tennessee, Knoxville, Oak Ridge National Laboratory,
6* and University of California, Berkeley.
7* May 1, 1997
8*
9* .. Scalar Arguments ..
10 INTEGER ICSRC, ICTXT, INFO, IRSRC, LLD, M, MB, N, NB
11* ..
12* .. Array Arguments ..
13 INTEGER DESC( * )
14* ..
15*
16* Purpose
17* =======
18*
19* DESCINIT initializes the descriptor vector with the 8 input arguments
20* M, N, MB, NB, IRSRC, ICSRC, ICTXT, LLD.
21*
22* Notes
23* =====
24*
25* Each global data object is described by an associated description
26* vector. This vector stores the information required to establish
27* the mapping between an object element and its corresponding process
28* and memory location.
29*
30* Let A be a generic term for any 2D block cyclicly distributed array.
31* Such a global array has an associated description vector DESCA.
32* In the following comments, the character _ should be read as
33* "of the global array".
34*
35* NOTATION STORED IN EXPLANATION
36* --------------- -------------- --------------------------------------
37* DTYPE_A(global) DESCA( DTYPE_ )The descriptor type. In this case,
38* DTYPE_A = 1.
39* CTXT_A (global) DESCA( CTXT_ ) The BLACS context handle, indicating
40* the BLACS process grid A is distribu-
41* ted over. The context itself is glo-
42* bal, but the handle (the integer
43* value) may vary.
44* M_A (global) DESCA( M_ ) The number of rows in the global
45* array A.
46* N_A (global) DESCA( N_ ) The number of columns in the global
47* array A.
48* MB_A (global) DESCA( MB_ ) The blocking factor used to distribute
49* the rows of the array.
50* NB_A (global) DESCA( NB_ ) The blocking factor used to distribute
51* the columns of the array.
52* RSRC_A (global) DESCA( RSRC_ ) The process row over which the first
53* row of the array A is distributed.
54* CSRC_A (global) DESCA( CSRC_ ) The process column over which the
55* first column of the array A is
56* distributed.
57* LLD_A (local) DESCA( LLD_ ) The leading dimension of the local
58* array. LLD_A >= MAX(1,LOCr(M_A)).
59*
60* Let K be the number of rows or columns of a distributed matrix,
61* and assume that its process grid has dimension p x q.
62* LOCr( K ) denotes the number of elements of K that a process
63* would receive if K were distributed over the p processes of its
64* process column.
65* Similarly, LOCc( K ) denotes the number of elements of K that a
66* process would receive if K were distributed over the q processes of
67* its process row.
68* The values of LOCr() and LOCc() may be determined via a call to the
69* ScaLAPACK tool function, NUMROC:
70* LOCr( M ) = NUMROC( M, MB_A, MYROW, RSRC_A, NPROW ),
71* LOCc( N ) = NUMROC( N, NB_A, MYCOL, CSRC_A, NPCOL ).
72* An upper bound for these quantities may be computed by:
73* LOCr( M ) <= ceil( ceil(M/MB_A)/NPROW )*MB_A
74* LOCc( N ) <= ceil( ceil(N/NB_A)/NPCOL )*NB_A
75*
76* Arguments
77* =========
78*
79* DESC (output) INTEGER array of dimension DLEN_.
80* The array descriptor of a distributed matrix to be set.
81*
82* M (global input) INTEGER
83* The number of rows in the distributed matrix. M >= 0.
84*
85* N (global input) INTEGER
86* The number of columns in the distributed matrix. N >= 0.
87*
88* MB (global input) INTEGER
89* The blocking factor used to distribute the rows of the
90* matrix. MB >= 1.
91*
92* NB (global input) INTEGER
93* The blocking factor used to distribute the columns of the
94* matrix. NB >= 1.
95*
96* IRSRC (global input) INTEGER
97* The process row over which the first row of the matrix is
98* distributed. 0 <= IRSRC < NPROW.
99*
100* ICSRC (global input) INTEGER
101* The process column over which the first column of the
102* matrix is distributed. 0 <= ICSRC < NPCOL.
103*
104* ICTXT (global input) INTEGER
105* The BLACS context handle, indicating the global context of
106* the operation on the matrix. The context itself is global.
107*
108* LLD (local input) INTEGER
109* The leading dimension of the local array storing the local
110* blocks of the distributed matrix. LLD >= MAX(1,LOCr(M)).
111*
112* INFO (output) INTEGER
113* = 0: successful exit
114* < 0: if INFO = -i, the i-th argument had an illegal value
115*
116* Note
117* ====
118*
119* If the routine can recover from an erroneous input argument, it will
120* return an acceptable descriptor vector. For example, if LLD = 0 on
121* input, DESC(LLD_) will contain the smallest leading dimension
122* required to store the specified M-by-N distributed matrix, INFO
123* will be set -9 in that case.
124*
125* =====================================================================
126*
127* .. Parameters ..
128 INTEGER BLOCK_CYCLIC_2D, CSRC_, CTXT_, DLEN_, DTYPE_,
129 $ LLD_, MB_, M_, NB_, N_, RSRC_
130 parameter( block_cyclic_2d = 1, dlen_ = 9, dtype_ = 1,
131 $ ctxt_ = 2, m_ = 3, n_ = 4, mb_ = 5, nb_ = 6,
132 $ rsrc_ = 7, csrc_ = 8, lld_ = 9 )
133* ..
134* .. Local Scalars ..
135 INTEGER MYCOL, MYROW, NPCOL, NPROW
136* ..
137* .. External Subroutines ..
138 EXTERNAL blacs_gridinfo, pxerbla
139* ..
140* .. External Functions ..
141 INTEGER NUMROC
142 EXTERNAL numroc
143* ..
144* .. Intrinsic Functions ..
145 INTRINSIC max, min
146* ..
147* .. Executable Statements ..
148*
149* Get grid parameters
150*
151 CALL blacs_gridinfo( ictxt, nprow, npcol, myrow, mycol )
152*
153 info = 0
154 IF( m.LT.0 ) THEN
155 info = -2
156 ELSE IF( n.LT.0 ) THEN
157 info = -3
158 ELSE IF( mb.LT.1 ) THEN
159 info = -4
160 ELSE IF( nb.LT.1 ) THEN
161 info = -5
162 ELSE IF( irsrc.LT.0 .OR. irsrc.GE.nprow ) THEN
163 info = -6
164 ELSE IF( icsrc.LT.0 .OR. icsrc.GE.npcol ) THEN
165 info = -7
166 ELSE IF( nprow.EQ.-1 ) THEN
167 info = -8
168 ELSE IF( lld.LT.max( 1, numroc( m, mb, myrow, irsrc,
169 $ nprow ) ) ) THEN
170 info = -9
171 END IF
172*
173 IF( info.NE.0 )
174 $ CALL pxerbla( ictxt, 'DESCINIT', -info )
175*
176 desc( dtype_ ) = block_cyclic_2d
177 desc( m_ ) = max( 0, m )
178 desc( n_ ) = max( 0, n )
179 desc( mb_ ) = max( 1, mb )
180 desc( nb_ ) = max( 1, nb )
181 desc( rsrc_ ) = max( 0, min( irsrc, nprow-1 ) )
182 desc( csrc_ ) = max( 0, min( icsrc, npcol-1 ) )
183 desc( ctxt_ ) = ictxt
184 desc( lld_ ) = max( lld, max( 1, numroc( desc( m_ ), desc( mb_ ),
185 $ myrow, desc( rsrc_ ), nprow ) ) )
186*
187 RETURN
188*
189* End DESCINIT
190*
integer function numroc(n, nb, iproc, isrcproc, nprocs)
Definition numroc.f:2
#define max(A, B)
Definition pcgemr.c:180
#define min(A, B)
Definition pcgemr.c:181
subroutine pxerbla(ictxt, srname, info)
Definition pxerbla.f:2
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