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195 lines
14 KiB
FortranFixed
195 lines
14 KiB
FortranFixed
19 years ago
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C
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C Parallel Sparse BLAS v2.0
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C (C) Copyright 2006 Salvatore Filippone University of Rome Tor Vergata
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C Alfredo Buttari University of Rome Tor Vergata
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C
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C Redistribution and use in source and binary forms, with or without
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C modification, are permitted provided that the following conditions
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C are met:
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C 1. Redistributions of source code must retain the above copyright
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C notice, this list of conditions and the following disclaimer.
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C 2. Redistributions in binary form must reproduce the above copyright
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C notice, this list of conditions, and the following disclaimer in the
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C documentation and/or other materials provided with the distribution.
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C 3. The name of the PSBLAS group or the names of its contributors may
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C not be used to endorse or promote products derived from this
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C software without specific written permission.
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C
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C THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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C ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
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C TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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C PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS
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C BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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C CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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C SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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C INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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C CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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C ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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C POSSIBILITY OF SUCH DAMAGE.
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C
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C
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19 years ago
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C
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C Compute level numbers for the triangular matrix.
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C
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SUBROUTINE DVTFG (UPLO,M,JA,IA,NG,IPA,IPAT,KLEN,IWORK1,IWORK2,
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* IWORK3)
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C .. Scalar Arguments ..
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INTEGER M, NG
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CHARACTER UPLO
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C .. Array Arguments ..
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INTEGER IA(*), IPA(*), IPAT(*), IWORK3(*), JA(*),
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* KLEN(*), IWORK2(*), IWORK1(*)
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C .. Local Scalars ..
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INTEGER I, J, L, L0, L1, LEV, NP, iret
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C .. Intrinsic Functions ..
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INTRINSIC MAX
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logical debug
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parameter (debug=.false.)
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C .. Executable Statements ..
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C
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NG = 0
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C
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C CHECK ON THE NUMBERS OF THE ELEMENTS OF THE MATRIX
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C
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IF ((IA(M+1)-1).EQ.0) THEN
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C
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C THE MATRIX HASN'T ELEMENTS
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C THE OUTPUT PERMUTATIONS ARE POSED TO THE IDENTITY MATRIX
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C
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DO 20 I = 1, M
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IPA(I) = I
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IPAT(I) = I
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KLEN(I) = 0
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20 CONTINUE
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ELSE
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C
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C COMPUTE LEVEL NUMBER FOR EACH ROWS
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C
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C IWORK1: AUXILIARY VECTOR WHICH CONTAINS
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C LEVEL NUMBERS OF EACH ROW
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C
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DO 40 I = 1, M
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IWORK1(I) = 0
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IWORK3(I) = 0
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40 CONTINUE
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IF (UPLO.EQ.'L') THEN
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C
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C LOWER TRIANGULAR SPARSE MATRIX
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C
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DO 80 I = 1, M
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IWORK1(I) = 1
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DO 60 J = IA(I), IA(I+1) - 1
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IWORK1(I) = MAX(IWORK1(I),IWORK1(JA(J))+1)
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60 CONTINUE
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80 CONTINUE
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ELSE IF (UPLO.EQ.'U') THEN
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C
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C UPPER TRIANGULAR SPARSE MATRIX
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C
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DO 120 I = M, 1, -1
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IWORK1(I) = 1
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DO 100 J = IA(I), IA(I+1) - 1
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IWORK1(I) = MAX(IWORK1(I),IWORK1(JA(J))+1)
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100 CONTINUE
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120 CONTINUE
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END IF
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C
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C COUNT NUMBER OF ROWS IN EACH EQUIVALENCE GROUPS
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C
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C NOTE: GROUP = SET OF ROWS HAVING THE SAME LEVEL NUMBER
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C
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C IWORK3: AUXILIARY VECTOR WHICH CONTAINS
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C THE NUMBER OF ROWS FOR EACH GROUPS
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C
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DO 140 I = 1, M
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IWORK3(IWORK1(I)) = IWORK3(IWORK1(I)) + 1
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140 CONTINUE
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C
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C SET UP IWORK2:
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C IWORK2(I) POINTS TO THE BEGINNING OF I-TH GROUP
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C
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IWORK2(1) = 1
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DO 160 I = 2, M + 1
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IWORK2(I) = IWORK3(I-1) + IWORK2(I-1)
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IF (IWORK2(I).EQ.M+1) THEN
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NG = I - 1
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GO TO 180
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END IF
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160 CONTINUE
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180 CONTINUE
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C
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C NG : TOTAL NUMBER OF LEVELS
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C IWORK3: VECTOR CONTAINING THE NUMBER OF THE ROWS SORTED BY
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C EQUIVALENCE GROUPS.
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C
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DO 200 I = 1, M
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IWORK3(IWORK2(IWORK1(I))) = I
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IWORK2(IWORK1(I)) = IWORK2(IWORK1(I)) + 1
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200 CONTINUE
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C
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C REGENERATE IWORK2: POINTER INTO IWORK3 FOR EQUIVALENCE GROUPS
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C
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DO 220 I = NG + 1, 2, -1
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IWORK2(I) = IWORK2(I-1)
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220 CONTINUE
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IWORK2(1) = 1
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C
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C IWORK1: ROWS LENGTH IN NEW ORDERING
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C
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DO 240 L = 1, M
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IWORK1(L) = IA(IWORK3(L)) - IA(IWORK3(L)+1)
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240 CONTINUE
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C
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C SORT ROWS BY DECREASING NUMBER OF NONZERO ELEMENTS.
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C
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C IPA: VECTOR OF NUMBER OF ROWS SORTED BY EQUIVALENCE
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C GROUPS AND BY ROW LENGTH
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C IPAT: AUXILIARY VECTOR NEED TO THE SORTER ROUTINES
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C
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L1 = IWORK2(2) - IWORK2(1)
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DO 260 L = 1, L1
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IPA(L) = IWORK3(L)
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260 CONTINUE
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if (debug) write(0,*) 'DVTFG: Group ',1,':',(ipa(l),l=1,l1)
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DO 360 LEV = 2, NG
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C
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C LOOP ON GROUPS
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C L1: LENGTH OF CURRENT GROUP
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C L0: POINTER TO IPA TO THE FIRST LOCATIONS RESERVED
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C FOR CURRENT GROUP
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C
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L1 = IWORK2(LEV+1) - IWORK2(LEV)
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L0 = IWORK2(LEV) - 1
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CALL MRGSRT(L1,IWORK1(IWORK2(LEV)),IPAT,IRET)
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IF (IRET.EQ.0) THEN
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NP = IPAT(1)
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DO 280 L = 1, L1
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IPA(L0+L) = IWORK3(L0+NP)
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NP = IPAT(1+NP)
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280 CONTINUE
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ELSE
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C
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C VECTOR ALREADY SORTED. NO CHANGE IS NEED
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C
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DO 320 L = 1, L1
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IPA(L0+L) = IWORK3(L0+L)
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320 CONTINUE
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ENDIF
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if (debug) write(0,*) 'DVTFG: Group ',lev,
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+ ':',(ipa(l0+l),l=1,l1)
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360 CONTINUE
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C
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C IPAT = IPA-1
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C
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DO 380 I = 1, M
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IPAT(IPA(I)) = I
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380 CONTINUE
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C DO 400 I = 1, NG
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C KLEN(I) = IWORK2(I+1) - IWORK2(I)
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DO 400 I = 1, NG+1
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KLEN(I) = IWORK2(I)
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400 CONTINUE
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END IF
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RETURN
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END
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