|
|
|
|
C
|
|
|
|
|
C Parallel Sparse BLAS version 3.5
|
|
|
|
|
C (C) Copyright 2006, 2010, 2015, 2017
|
|
|
|
|
C Salvatore Filippone Cranfield University
|
|
|
|
|
C Alfredo Buttari CNRS-IRIT, Toulouse
|
|
|
|
|
C
|
|
|
|
|
C Redistribution and use in source and binary forms, with or without
|
|
|
|
|
C modification, are permitted provided that the following conditions
|
|
|
|
|
C are met:
|
|
|
|
|
C 1. Redistributions of source code must retain the above copyright
|
|
|
|
|
C notice, this list of conditions and the following disclaimer.
|
|
|
|
|
C 2. Redistributions in binary form must reproduce the above copyright
|
|
|
|
|
C notice, this list of conditions, and the following disclaimer in the
|
|
|
|
|
C documentation and/or other materials provided with the distribution.
|
|
|
|
|
C 3. The name of the PSBLAS group or the names of its contributors may
|
|
|
|
|
C not be used to endorse or promote products derived from this
|
|
|
|
|
C software without specific written permission.
|
|
|
|
|
C
|
|
|
|
|
C THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
|
|
|
|
C ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
|
|
|
|
|
C TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
|
|
|
|
|
C PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS
|
|
|
|
|
C BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
|
|
|
|
|
C CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
|
|
|
|
|
C SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
|
|
|
|
|
C INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
|
|
|
|
|
C CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
|
|
|
|
|
C ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
|
|
|
|
C POSSIBILITY OF SUCH DAMAGE.
|
|
|
|
|
C
|
|
|
|
|
C
|
|
|
|
|
***********************************************************************
|
|
|
|
|
* *
|
|
|
|
|
* The communication step among processors at each *
|
|
|
|
|
* matrix-vector product is a variable all-to-all *
|
|
|
|
|
* collective communication that we reimplement *
|
|
|
|
|
* in terms of point-to-point communications. *
|
|
|
|
|
* The data in input is a list of dependencies: *
|
|
|
|
|
* for each node a list of all the nodes it has to *
|
|
|
|
|
* communicate with. The lists are guaranteed to be *
|
|
|
|
|
* symmetric, i.e. for each pair (I,J) there is a *
|
|
|
|
|
* pair (J,I). The idea is to organize the ordering *
|
|
|
|
|
* so that at each communication step as many *
|
|
|
|
|
* processors as possible are communicating at the *
|
|
|
|
|
* same time, i.e. a step is defined by the fact *
|
|
|
|
|
* that all edges (I,J) in it have no common node. *
|
|
|
|
|
* *
|
|
|
|
|
* Formulation of the problem is: *
|
|
|
|
|
* Given an undirected graph (forest): *
|
|
|
|
|
* Find the shortest series of steps to cancel all *
|
|
|
|
|
* graph edges, where at each step all edges belonging *
|
|
|
|
|
* to a matching in the graph are canceled. *
|
|
|
|
|
* *
|
|
|
|
|
* An obvious lower bound to the optimum number of steps *
|
|
|
|
|
* is the largest degree of any node in the graph. *
|
|
|
|
|
* *
|
|
|
|
|
* The algorithm proceeds as follows: *
|
|
|
|
|
* 1. Build a list of all edges, e.g. copy the *
|
|
|
|
|
* dependencies lists keeping only (I,J) with I<J *
|
|
|
|
|
* 2. Compute an auxiliary vector with the degree of *
|
|
|
|
|
* each node of the graph. *
|
|
|
|
|
* 3. While there are edges in the graph do: *
|
|
|
|
|
* 4. Weight the edges with the sum of the degrees *
|
|
|
|
|
* of their nodes and sort them into descending order *
|
|
|
|
|
* 5. Scan the list of edges; if neither node of the *
|
|
|
|
|
* edge has been marked yet, cancel the edge and mark *
|
|
|
|
|
* the two nodes *
|
|
|
|
|
* 6. If no edge was chosen but the graph is nonempty *
|
|
|
|
|
* raise an error condition *
|
|
|
|
|
* 7. Queue the edges in the matchin to the output *
|
|
|
|
|
* sequence; *
|
|
|
|
|
* 8. Decrease by 1 the degree of all marked nodes, *
|
|
|
|
|
* then clear all marks *
|
|
|
|
|
* 9. Cycle to 3. *
|
|
|
|
|
* 10. For each node: scan the edge sequence; if an *
|
|
|
|
|
* edge has the node as an endpoint, queue the other *
|
|
|
|
|
* node in the dependency list for the current one *
|
|
|
|
|
* *
|
|
|
|
|
***********************************************************************
|
|
|
|
|
SUBROUTINE SRTLIST(DEP_LIST,DL_LDA,LDL,NP,dg,dgp,upd,
|
|
|
|
|
+ edges,idx,ich,INFO)
|
|
|
|
|
use psb_serial_mod
|
|
|
|
|
IMPLICIT NONE
|
|
|
|
|
INTEGER(psb_ipk_) :: NP, DL_LDA, INFO
|
|
|
|
|
INTEGER(psb_ipk_) :: DEP_LIST(DL_LDA,*), LDL(*),DG(*), DGP(*),
|
|
|
|
|
+ IDX(*), UPD(*),EDGES(2,*),ICH(*)
|
|
|
|
|
INTEGER(psb_ipk_) :: I,J, NEDGES,IP1,IP2,NCH,IP,IEDGE,
|
|
|
|
|
+ I1,IX,IST,ISWAP(2)
|
|
|
|
|
INTEGER(psb_ipk_) :: NO_COMM
|
|
|
|
|
PARAMETER (NO_COMM=-1)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
IF (NP .LT. 0) THEN
|
|
|
|
|
INFO = 1
|
|
|
|
|
RETURN
|
|
|
|
|
ENDIF
|
|
|
|
|
|
|
|
|
|
C
|
|
|
|
|
C dg contains number of communications
|
|
|
|
|
C
|
|
|
|
|
DO I=1, NP
|
|
|
|
|
DG(I)=LDL(I)
|
|
|
|
|
ENDDO
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
NEDGES = 0
|
|
|
|
|
DO I=1, NP
|
|
|
|
|
DO J=1, DG(I)
|
|
|
|
|
IP = DEP_LIST(J,I) + 1
|
|
|
|
|
c$$$ write(psb_err_unit,*)
|
|
|
|
|
c$$$ 'SRTLIST Input :',i,ip
|
|
|
|
|
IF (IP.GT.I)
|
|
|
|
|
+ NEDGES = NEDGES + 1
|
|
|
|
|
ENDDO
|
|
|
|
|
ENDDO
|
|
|
|
|
|
|
|
|
|
IEDGE = 0
|
|
|
|
|
DO I=1, NP
|
|
|
|
|
DO J=1, DG(I)
|
|
|
|
|
IP = DEP_LIST(J,I) + 1
|
|
|
|
|
IF (IP.GT.I) THEN
|
|
|
|
|
IEDGE = IEDGE + 1
|
|
|
|
|
EDGES(1,IEDGE) = I
|
|
|
|
|
EDGES(2,IEDGE) = IP
|
|
|
|
|
ENDIF
|
|
|
|
|
ENDDO
|
|
|
|
|
ENDDO
|
|
|
|
|
|
|
|
|
|
IST = 1
|
|
|
|
|
DO WHILE (IST.LE.NEDGES)
|
|
|
|
|
|
|
|
|
|
DO I=1, NP
|
|
|
|
|
UPD(I) = 0
|
|
|
|
|
ENDDO
|
|
|
|
|
DO I=IST, NEDGES
|
|
|
|
|
DGP(I) = -(DG(EDGES(1,I))+DG(EDGES(2,I)))
|
|
|
|
|
ENDDO
|
|
|
|
|
|
|
|
|
|
call psb_msort(dgp(ist:nedges),ix=idx(ist:nedges))
|
|
|
|
|
I1 = IST
|
|
|
|
|
NCH = 0
|
|
|
|
|
DO I = IST, NEDGES
|
|
|
|
|
IX = IDX(I)+IST-1
|
|
|
|
|
IP1 = EDGES(1,IX)
|
|
|
|
|
IP2 = EDGES(2,IX)
|
|
|
|
|
IF ((UPD(IP1).eq.0).AND.(UPD(IP2).eq.0)) THEN
|
|
|
|
|
UPD(IP1) = -1
|
|
|
|
|
UPD(IP2) = -1
|
|
|
|
|
NCH = NCH + 1
|
|
|
|
|
ICH(NCH) = IX
|
|
|
|
|
ENDIF
|
|
|
|
|
ENDDO
|
|
|
|
|
IF (NCH.eq.0) THEN
|
|
|
|
|
write(psb_err_unit,*)
|
|
|
|
|
+ 'SRTLIST ?????? Impossible error !!!!!?????',
|
|
|
|
|
+ nedges,ist
|
|
|
|
|
do i=ist, nedges
|
|
|
|
|
IX = IDX(I)+IST-1
|
|
|
|
|
write(psb_err_unit,*)
|
|
|
|
|
+ 'SRTLIST: Edge:',ix,edges(1,ix),
|
|
|
|
|
+ edges(2,ix),dgp(ix)
|
|
|
|
|
enddo
|
|
|
|
|
info = psb_err_input_value_invalid_i_
|
|
|
|
|
return
|
|
|
|
|
ENDIF
|
|
|
|
|
call psb_msort(ich(1:nch))
|
|
|
|
|
DO I=1, NCH
|
|
|
|
|
ISWAP(1) = EDGES(1,IST)
|
|
|
|
|
ISWAP(2) = EDGES(2,IST)
|
|
|
|
|
EDGES(1,IST) = EDGES(1,ICH(I))
|
|
|
|
|
EDGES(2,IST) = EDGES(2,ICH(I))
|
|
|
|
|
EDGES(1,ICH(I)) = ISWAP(1)
|
|
|
|
|
EDGES(2,ICH(I)) = ISWAP(2)
|
|
|
|
|
IST = IST + 1
|
|
|
|
|
ENDDO
|
|
|
|
|
DO I=1, NP
|
|
|
|
|
DG(I) = DG(I) + UPD(I)
|
|
|
|
|
ENDDO
|
|
|
|
|
ENDDO
|
|
|
|
|
|
|
|
|
|
DO I=1, NP
|
|
|
|
|
IF (DG(I).NE.0) THEN
|
|
|
|
|
write(psb_err_unit,*)
|
|
|
|
|
+ 'SRTLIST Error on exit:',i,dg(i)
|
|
|
|
|
ENDIF
|
|
|
|
|
DG(I) = 0
|
|
|
|
|
ENDDO
|
|
|
|
|
DO J=1,NEDGES
|
|
|
|
|
I = EDGES(1,J)
|
|
|
|
|
DG(I) = DG(I)+1
|
|
|
|
|
DEP_LIST(DG(I),I) = EDGES(2,J)-1
|
|
|
|
|
I = EDGES(2,J)
|
|
|
|
|
DG(I) = DG(I)+1
|
|
|
|
|
DEP_LIST(DG(I),I) = EDGES(1,J)-1
|
|
|
|
|
ENDDO
|
|
|
|
|
DO I=1, NP
|
|
|
|
|
IF (DG(I).NE.LDL(I)) THEN
|
|
|
|
|
write(psb_err_unit,*)
|
|
|
|
|
+ 'SRTLIST Mismatch on output',i,dg(i),ldl(i)
|
|
|
|
|
ENDIF
|
|
|
|
|
ENDDO
|
|
|
|
|
|
|
|
|
|
c$$$ write(psb_err_unit,*)
|
|
|
|
|
c$$$ 'Output communication:',t2-t1
|
|
|
|
|
c$$$ do i=1,np
|
|
|
|
|
c$$$ do j=1,ldl(i)
|
|
|
|
|
c$$$ write(psb_err_unit,*)
|
|
|
|
|
c$$$ 'SRTLIST', i,dep_list(j,i)+1
|
|
|
|
|
c$$$ enddo
|
|
|
|
|
c$$$ enddo
|
|
|
|
|
|
|
|
|
|
RETURN
|
|
|
|
|
END
|
|
|
|
|
|
|
|
|
|
|
