|
|
| |
| # lines: |
286 | | # code: |
286 | | # comment: | 0 | |
# blank: | 0 |
| # Variables: | 37 |
| # Callers: | 0 |
| # Callings: | 0 |
| # Words: | 127 |
| # Keywords: | 75 |
|
|
|
|
|
..
.. Array Arguments ..
..
Purpose
=======
PCLASSQ returns the values scl and smsq such that
( scl**2 )*smsq = x( 1 )**2 +...+ x( n )**2 + ( scale**2 )*sumsq,
where x( i ) = sub( X ) = abs( X( IX+(JX-1)*DESCX(M_)+(i-1)*INCX ) ).
The value of sumsq is assumed to be at least unity and the value of
ssq will then satisfy
1.0 .le. ssq .le. ( sumsq + 2*n ).
scale is assumed to be non-negative and scl returns the value
scl = max( scale, abs( real( x( i ) ) ), abs( aimag( x( i ) ) ) ),
i
scale and sumsq must be supplied in SCALE and SUMSQ respectively.
SCALE and SUMSQ are overwritten by scl and ssq respectively.
The routine makes only one pass through the vector sub( X ).
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
Because vectors may be viewed as a subclass of matrices, a
distributed vector is considered to be a distributed matrix.
The result are only available in the scope of sub( X ), i.e if
sub( X ) is distributed along a process row, the correct results are
only available in this process row of the grid. Similarly if sub( X )
is distributed along a process column, the correct results are only
available in this process column of the grid.
Arguments
=========
N (global input) INTEGER
The length of the distributed vector sub( X ).
X (input) COMPLEX
The vector for which a scaled sum of squares is computed.
x( i ) = X(IX+(JX-1)*M_X +(i-1)*INCX ), 1 <= i <= n.
IX (global input) INTEGER
The row index in the global array X indicating the first
row of sub( X ).
JX (global input) INTEGER
The column index in the global array X indicating the
first column of sub( X ).
DESCX (global and local input) INTEGER array of dimension DLEN_.
The array descriptor for the distributed matrix X.
INCX (global input) INTEGER
The global increment for the elements of X. Only two values
of INCX are supported in this version, namely 1 and M_X.
INCX must not be zero.
SCALE (local input/local output) REAL
On entry, the value scale in the equation above.
On exit, SCALE is overwritten with scl , the scaling factor
for the sum of squares.
SUMSQ (local input/local output) REAL
On entry, the value sumsq in the equation above.
On exit, SUMSQ is overwritten with smsq , the basic sum of
squares from which scl has been factored out.
=====================================================================
.. Parameters ..
|
|
|
|
001 SUBROUTINE PCLASSQ( N , X , IX , JX , DESCX , INCX , SCALE , SUMSQ )
002
003 * -- ScaLAPACK auxiliary routine(version 1.7) --
004 * University of Tennessee , Knoxville , Oak Ridge National Laboratory ,
005 * and University of California , Berkeley.
006 * May 1 , 1997
007
008 * .. Scalar Arguments ..
009 INTEGER IX , INCX , JX , N
010 REAL SCALE , SUMSQ
011 INTEGER BLOCK_CYCLIC_2D , CSRC_ , CTXT_ , DLEN_ , DTYPE_ ,
012 $LLD_ , MB_ , M_ , NB_ , N_ , RSRC_
013 PARAMETER( BLOCK_CYCLIC_2D = 1 , DLEN_ = 9 , DTYPE_ = 1 ,
014 $CTXT_ = 2 , M_ = 3 , N_ = 4 , MB_ = 5 , NB_ = 6 ,
015 $RSRC_ = 7 , CSRC_ = 8 , LLD_ = 9 )
016 REAL ZERO
017 PARAMETER( ZERO = 0.0E + 0 )
018 * ..
019 * .. Local Scalars ..
020 INTEGER I , ICOFF , ICTXT , IIX , IOFF , IROFF , IXCOL ,
021 $IXROW , JJX , LDX , MYCOL , MYROW , NP , NPCOL ,
022 $NPROW , NQ
023 REAL TEMP1
024 * ..
025 * .. Local Arrays ..
026 REAL WORK( 2 )
027 * ..
028 * .. External Subroutines ..
029 EXTERNAL BLACS_GRIDINFO , INFOG2L , PSTREECOMB , SCOMBSSQ
030 * ..
031 * .. External Functions ..
032 INTEGER NUMROC
033 EXTERNAL NUMROC
034 * ..
035 * .. Intrinsic Functions ..
036 INTRINSIC ABS , AIMAG , MOD , REAL
037 * ..
038 * .. Executable Statements ..
039
040 * Get grid parameters.
041
042 ICTXT = DESCX( CTXT_ )
043 CALL BLACS_GRIDINFO( ICTXT , NPROW , NPCOL , MYROW , MYCOL )
044
045 * Figure local indexes
046
047 CALL INFOG2L( IX , JX , DESCX , NPROW , NPCOL , MYROW , MYCOL , IIX , JJX ,
048 $IXROW , IXCOL )
049
050 LDX = DESCX( LLD_ )
051 IF( INCX.EQ.DESCX( M_ ) ) THEN
052
053 * X is rowwise distributed.
054
054  
055 IF( MYROW.NE.IXROW )
055
056 $ RETURN
057 ICOFF = MOD( JX , DESCX( NB_ ) )
058 NQ = NUMROC( N + ICOFF , DESCX( NB_ ) , MYCOL , IXCOL , NPCOL )
059 IF( MYCOL.EQ.IXCOL )
059
060 $ NQ = NQ - ICOFF
061
062 * Code direct from LAPACK's CLASSQ ,(save subroutine call)
063
064 IF( NQ.GT.0 ) THEN
064
065 IOFF = IIX + ( JJX - 1 ) * LDX
066 DO 10 I = 1 , NQ
066
067 IF( REAL( X( IOFF ) ).NE.ZERO ) THEN
067
068 TEMP1 = ABS( REAL( X( IOFF ) ) )
069 IF( SCALE.LT.TEMP1 ) THEN
069
070 SUMSQ = 1 + SUMSQ * ( SCALE / TEMP1 )**2
071 SCALE = TEMP1
072 ELSE
072
073 SUMSQ = SUMSQ + ( TEMP1 / SCALE )**2
074 END IF
075 END IF
076 IF( AIMAG( X( IOFF ) ).NE.ZERO ) THEN
076
077 TEMP1 = ABS( AIMAG( X( IOFF ) ) )
078 IF( SCALE.LT.TEMP1 ) THEN
078
079 SUMSQ = 1 + SUMSQ*( SCALE / TEMP1 )**2
080 SCALE = TEMP1
081 ELSE
081
082 SUMSQ = SUMSQ + ( TEMP1 / SCALE )**2
083 END IF
084 END IF
085 IOFF = IOFF + LDX
086 10 CONTINUE
086
087 END IF
088
089 * Take local result and find global
090
091 WORK( 1 ) = SCALE
092 WORK( 2 ) = SUMSQ
093
094 CALL PSTREECOMB( ICTXT , 'Rowwise' , 2 , WORK , - 1 , IXCOL ,
095 $ SCOMBSSQ )
096
097 SCALE = WORK( 1 )
098 SUMSQ = WORK( 2 )
099
100 ELSE IF( INCX.EQ.1 ) THEN
101
102 * X is columnwise distributed.
103
103
104 IF( MYCOL.NE.IXCOL )
104
105 $ RETURN
106 IROFF = MOD( IX , DESCX( MB_ ) )
107 NP = NUMROC( N + IROFF , DESCX( MB_ ) , MYROW , IXROW , NPROW )
108 IF( MYROW.EQ.IXROW )
108
109 $ NP = NP - IROFF
110
111 * Code direct from LAPACK's CLASSQ ,(save subroutine call)
112
113 IF( NP.GT.0 ) THEN
113
114 IOFF = IIX + ( JJX - 1 ) * LDX
115 DO 20 I = 1 , NP
115
116 IF( REAL( X( IOFF ) ).NE.ZERO ) THEN
116
117 TEMP1 = ABS( REAL( X( IOFF ) ) )
118 IF( SCALE.LT.TEMP1 ) THEN
118
119 SUMSQ = 1 + SUMSQ*( SCALE / TEMP1 )**2
120 SCALE = TEMP1
121 ELSE
121
122 SUMSQ = SUMSQ + ( TEMP1 / SCALE )**2
123 END IF
124 END IF
125 IF( AIMAG( X( IOFF ) ).NE.ZERO ) THEN
125
126 TEMP1 = ABS( AIMAG( X( IOFF ) ) )
127 IF( SCALE.LT.TEMP1 ) THEN
127
128 SUMSQ = 1 + SUMSQ*( SCALE / TEMP1 )**2
129 SCALE = TEMP1
130 ELSE
130
131 SUMSQ = SUMSQ + ( TEMP1 / SCALE )**2
132 END IF
133 END IF
134 IOFF = IOFF + 1
135 20 CONTINUE
135
136 END IF
137
138 * Take local result and find global
139
140 WORK( 1 ) = SCALE
141 WORK( 2 ) = SUMSQ
142
143 CALL PSTREECOMB( ICTXT , 'Columnwise' , 2 , WORK , - 1 , IXCOL ,
144 $ SCOMBSSQ )
145
146 SCALE = WORK( 1 )
147 SUMSQ = WORK( 2 )
148
149 END IF
150
151 RETURN
152
153 * End of PCLASSQ
154
155 END28
24
|
|
Variables in Routine PCLASSQ()
| Summary Report |
| Data Type | Quantity | Size(byte) |
| INTEGER | 32 | 128 |
| REAL | 5 | 24 |
| TOTAL | 37 | 152 |
List of Variables
INTEGER
| BLOCK_CYCLIC_2D | CSRC_ | CTXT_ | DLEN_ | DTYPE_ |
| I | ICOFF | ICTXT | IIX | INCX |
| IOFF | IROFF | IX | IXCOL | IXROW |
| JJX | JX | LDX | LLD_ | M_ |
| MB_ | MYCOL | MYROW | N | N_ |
| NB_ | NP | NPCOL | NPROW | NQ |
| NUMROC | RSRC_ | | | |
REAL
| SCALE | SUMSQ | TEMP1 | WORK( 2 ) | ZERO |
Variables Dependence Graph
Put the mouse over a right hand side variable to display the corresponding line of the dependence | | - | | - | - | | I | <--- | NPDO 20 I = 1, NP, NQDO 10 I = 1, NQ |
| ICOFF | <--- | JXICOFF = MOD( JX, DESCX( NB_ ) ), NB_ICOFF = MOD( JX, DESCX( NB_ ) ) |
| ICTXT | <--- | CTXT_ICTXT = DESCX( CTXT_ ) |
| IOFF | <--- | IOFFIOFF = IOFF + 1{2IOFF = IOFF + LDX}, JJXIOFF = IIX + ( JJX - 1 ) * LDX{2IOFF = IIX + ( JJX - 1 ) * LDX}, LDXIOFF = IIX + ( JJX - 1 ) * LDX{2IOFF = IIX + ( JJX - 1 ) * LDX, 3IOFF = IOFF + LDX}, IIXIOFF = IIX + ( JJX - 1 ) * LDX{2IOFF = IIX + ( JJX - 1 ) * LDX} |
| IROFF | <--- | IXIROFF = MOD( IX, DESCX( MB_ ) ), MB_IROFF = MOD( IX, DESCX( MB_ ) ) |
| LDX | <--- | LLD_LDX = DESCX( LLD_ ) |
| NP | <--- | IROFFNP = NUMROC( N+IROFF, DESCX( MB_ ), MYROW, IXROW, NPROW ), IXROWNP = NUMROC( N+IROFF, DESCX( MB_ ), MYROW, IXROW, NPROW ), MB_NP = NUMROC( N+IROFF, DESCX( MB_ ), MYROW, IXROW, NPROW ), MYROWNP = NUMROC( N+IROFF, DESCX( MB_ ), MYROW, IXROW, NPROW ), NNP = NUMROC( N+IROFF, DESCX( MB_ ), MYROW, IXROW, NPROW ), NPROWNP = NUMROC( N+IROFF, DESCX( MB_ ), MYROW, IXROW, NPROW ), NUMROCNP = NUMROC( N+IROFF, DESCX( MB_ ), MYROW, IXROW, NPROW ) |
| NQ | <--- | IXCOLNQ = NUMROC( N+ICOFF, DESCX( NB_ ), MYCOL, IXCOL, NPCOL ), MYCOLNQ = NUMROC( N+ICOFF, DESCX( NB_ ), MYCOL, IXCOL, NPCOL ), NNQ = NUMROC( N+ICOFF, DESCX( NB_ ), MYCOL, IXCOL, NPCOL ), NB_NQ = NUMROC( N+ICOFF, DESCX( NB_ ), MYCOL, IXCOL, NPCOL ), NPCOLNQ = NUMROC( N+ICOFF, DESCX( NB_ ), MYCOL, IXCOL, NPCOL ), NUMROCNQ = NUMROC( N+ICOFF, DESCX( NB_ ), MYCOL, IXCOL, NPCOL ), ICOFFNQ = NUMROC( N+ICOFF, DESCX( NB_ ), MYCOL, IXCOL, NPCOL ) |
| SCALE | <--- | TEMP1SCALE = TEMP1{2SCALE = TEMP1, 3SCALE = TEMP1, 4SCALE = TEMP1}, WORKSCALE = WORK( 1 ){2SCALE = WORK( 1 )} |
| SUMSQ | <--- | SCALESUMSQ = 1 + SUMSQ*( SCALE / TEMP1 )**2{2SUMSQ = SUMSQ + ( TEMP1 / SCALE )**2, 3SUMSQ = 1 + SUMSQ*( SCALE / TEMP1 )**2, 4SUMSQ = SUMSQ + ( TEMP1 / SCALE )**2, 5SUMSQ = 1 + SUMSQ * ( SCALE / TEMP1 )**2, 6SUMSQ = SUMSQ + ( TEMP1 / SCALE )**2, 7SUMSQ = 1 + SUMSQ*( SCALE / TEMP1 )**2, 8SUMSQ = SUMSQ + ( TEMP1 / SCALE )**2}, SUMSQSUMSQ = 1 + SUMSQ*( SCALE / TEMP1 )**2{2SUMSQ = SUMSQ + ( TEMP1 / SCALE )**2, 3SUMSQ = 1 + SUMSQ*( SCALE / TEMP1 )**2, 4SUMSQ = SUMSQ + ( TEMP1 / SCALE )**2, 5SUMSQ = 1 + SUMSQ * ( SCALE / TEMP1 )**2, 6SUMSQ = SUMSQ + ( TEMP1 / SCALE )**2, 7SUMSQ = 1 + SUMSQ*( SCALE / TEMP1 )**2, 8SUMSQ = SUMSQ + ( TEMP1 / SCALE )**2}, TEMP1SUMSQ = 1 + SUMSQ*( SCALE / TEMP1 )**2{2SUMSQ = SUMSQ + ( TEMP1 / SCALE )**2, 3SUMSQ = 1 + SUMSQ*( SCALE / TEMP1 )**2, 4SUMSQ = SUMSQ + ( TEMP1 / SCALE )**2, 5SUMSQ = 1 + SUMSQ * ( SCALE / TEMP1 )**2, 6SUMSQ = SUMSQ + ( TEMP1 / SCALE )**2, 7SUMSQ = 1 + SUMSQ*( SCALE / TEMP1 )**2, 8SUMSQ = SUMSQ + ( TEMP1 / SCALE )**2}, WORKSUMSQ = WORK( 2 ){2SUMSQ = WORK( 2 )} |
| TEMP1 | <--- | IOFFTEMP1 = ABS( REAL( X( IOFF ) ) ){2TEMP1 = ABS( AIMAG( X( IOFF ) ) ), 3TEMP1 = ABS( REAL( X( IOFF ) ) ), 4TEMP1 = ABS( AIMAG( X( IOFF ) ) )} |
| WORK | <--- | SCALEWORK( 1 ) = SCALE{2WORK( 1 ) = SCALE}, SUMSQWORK( 2 ) = SUMSQ{2WORK( 2 ) = SUMSQ} |
|
|
Analysis elements of the routine PCLASSQ()
Put the mouse over each element to display detailed matching information
 Assigned variables |
| | | BLOCK_CYCLIC_2D , CSRC_ , CTXT_ , DLEN_ , DTYPE_ , I , ICOFF , ICTXT , IOFF , IROFF , LDX , LLD_ , M_ , MB_ , N_ , NB_ , NP , NQ , RSRC_ , SCALE , SUMSQ , TEMP1 , WORK , ZERO |
|
| Active variables |
| | | BLOCK_CYCLIC_2D , CSRC_ , CTXT_ , DESCX , DLEN_ , DTYPE_ , I , ICOFF , ICTXT , IIX , INCX , IOFF , IROFF , IX , IXCOL , IXROW , JJX , JX , LDX , LLD_ , M_ , MB_ , MYCOL , MYROW , N , N_ , NB_ , NP , NPCOL , NPROW , NQ , NUMROC , RSRC_ , SCALE , SUMSQ , TEMP1 , WORK , X , ZERO |
|
| Accessed arrays [ array name : associated index ] |
| |  DESCX | : CTXT_ , LLD_ , M_ , MB_ , MB_ , NB_ , NB_ |
| | NUMROC | : N+ICOFF, DESCX( NB_ ), MYCOL, IXCOL, NPCOL , N+IROFF, DESCX( MB_ ), MYROW, IXROW, NPROW |
| | WORK | : 1 , 1 , 1 , 1 , 2 , 2 , 2 , 2 , 2 |
| | X | : IOFF , IOFF , IOFF , IOFF , IOFF , IOFF , IOFF , IOFF |
|
| Conditional statements [ statement : associated predicate ] |
| | do | : ( 10 I = 1 , NQ ) , ( 20 I = 1 , NP ) |
| | if | : ( (INCX.EQ.DESCX( M_ ) ) ) , ( MYROW.NE.IXROW ) , ( MYCOL.EQ.IXCOL ) , ( NQ.GT.0 ) , ( (REAL( X( IOFF ) ).NE.ZERO ) ) , ( SCALE.LT.TEMP1 ) , ( (AIMAG( X( IOFF ) ).NE.ZERO ) ) , ( SCALE.LT.TEMP1 ) , ( INCX.EQ.1 ) , ( MYCOL.NE.IXCOL ) , ( MYROW.EQ.IXROW ) , ( NP.GT.0 ) , ( (REAL( X( IOFF ) ).NE.ZERO ) ) , ( SCALE.LT.TEMP1 ) , ( (AIMAG( X( IOFF ) ).NE.ZERO ) ) , ( SCALE.LT.TEMP1 ) |
|
| List of variables |
BLOCK_CYCLIC_2D
CSRC_
CTXT_
DLEN_
DTYPE_
I
ICOFF
| ICTXT
IIX
INCX
IOFF
IROFF
IX
IXCOL
IXROW
| JJX
JX
LDX
LLD_
M_
MB_
MYCOL
MYROW
| N
N_
NB_
NP
NPCOL
NPROW
NQ
NUMROC
| RSRC_
SCALE
SUMSQ
TEMP1
WORK( 2 )
ZERO | | close
| |
BLOCK_CYCLIC_2D
CSRC_
CTXT_
DLEN_
DTYPE_
I
ICOFF
ICTXT
IIX
INCX
IOFF
IROFF
IX
IXCOL
IXROW
JJX
JX
LDX
LLD_
M_
MB_
MYCOL
MYROW
N
N_
NB_
NP
NPCOL
NPROW
NQ
NUMROC
RSRC_
SCALE
SUMSQ
TEMP1
WORK( 2 )
ZERO
| |
