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198 lines
8 KiB
Fortran
198 lines
8 KiB
Fortran
*DECK DCPPLT
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SUBROUTINE DCPPLT (N, NELT, IA, JA, A, ISYM, IUNIT)
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C***BEGIN PROLOGUE DCPPLT
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C***PURPOSE Printer Plot of SLAP Column Format Matrix.
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C Routine to print out a SLAP Column format matrix in a
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C "printer plot" graphical representation.
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C***LIBRARY SLATEC (SLAP)
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C***CATEGORY N1
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C***TYPE DOUBLE PRECISION (SCPPLT-S, DCPPLT-D)
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C***KEYWORDS DIAGNOSTICS, LINEAR SYSTEM, SLAP SPARSE
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C***AUTHOR Seager, Mark K., (LLNL)
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C Lawrence Livermore National Laboratory
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C PO BOX 808, L-60
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C Livermore, CA 94550 (510) 423-3141
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C seager@llnl.gov
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C***DESCRIPTION
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C
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C *Usage:
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C INTEGER N, NELT, IA(NELT), JA(NELT), ISYM, IUNIT
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C DOUBLE PRECISION A(NELT)
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C
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C CALL DCPPLT( N, NELT, IA, JA, A, ISYM, IUNIT )
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C
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C *Arguments:
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C N :IN Integer
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C Order of the Matrix.
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C If N.gt.MAXORD, only the leading MAXORD x MAXORD
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C submatrix will be printed. (Currently MAXORD = 225.)
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C NELT :IN Integer.
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C Number of non-zeros stored in A.
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C IA :IN Integer IA(NELT).
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C JA :IN Integer JA(NELT).
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C A :IN Double Precision A(NELT).
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C These arrays should hold the matrix A in the SLAP
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C Column format. See "Description", below.
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C ISYM :IN Integer.
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C Flag to indicate symmetric storage format.
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C If ISYM=0, all non-zero entries of the matrix are stored.
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C If ISYM=1, the matrix is symmetric, and only the lower
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C triangle of the matrix is stored.
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C IUNIT :IN Integer.
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C Fortran logical I/O device unit number to write the matrix
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C to. This unit must be connected in a system dependent fashion
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C to a file or the console or you will get a nasty message
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C from the Fortran I/O libraries.
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C
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C *Description:
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C This routine prints out a SLAP Column format matrix to the
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C Fortran logical I/O unit number IUNIT. The numbers them
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C selves are not printed out, but rather a one character
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C representation of the numbers. Elements of the matrix that
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C are not represented in the (IA,JA,A) arrays are denoted by
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C ' ' character (a blank). Elements of A that are *ZERO* (and
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C hence should really not be stored) are denoted by a '0'
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C character. Elements of A that are *POSITIVE* are denoted by
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C 'D' if they are Diagonal elements and '#' if they are off
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C Diagonal elements. Elements of A that are *NEGATIVE* are
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C denoted by 'N' if they are Diagonal elements and '*' if
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C they are off Diagonal elements.
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C
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C =================== S L A P Column format ==================
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C
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C This routine requires that the matrix A be stored in the
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C SLAP Column format. In this format the non-zeros are stored
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C counting down columns (except for the diagonal entry, which
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C must appear first in each "column") and are stored in the
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C double precision array A. In other words, for each column
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C in the matrix put the diagonal entry in A. Then put in the
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C other non-zero elements going down the column (except the
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C diagonal) in order. The IA array holds the row index for
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C each non-zero. The JA array holds the offsets into the IA,
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C A arrays for the beginning of each column. That is,
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C IA(JA(ICOL)), A(JA(ICOL)) points to the beginning of the
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C ICOL-th column in IA and A. IA(JA(ICOL+1)-1),
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C A(JA(ICOL+1)-1) points to the end of the ICOL-th column.
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C Note that we always have JA(N+1) = NELT+1, where N is the
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C number of columns in the matrix and NELT is the number of
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C non-zeros in the matrix.
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C
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C Here is an example of the SLAP Column storage format for a
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C 5x5 Matrix (in the A and IA arrays '|' denotes the end of a
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C column):
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C
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C 5x5 Matrix SLAP Column format for 5x5 matrix on left.
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C 1 2 3 4 5 6 7 8 9 10 11
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C |11 12 0 0 15| A: 11 21 51 | 22 12 | 33 53 | 44 | 55 15 35
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C |21 22 0 0 0| IA: 1 2 5 | 2 1 | 3 5 | 4 | 5 1 3
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C | 0 0 33 0 35| JA: 1 4 6 8 9 12
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C | 0 0 0 44 0|
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C |51 0 53 0 55|
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C
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C *Cautions:
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C This routine will attempt to write to the Fortran logical output
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C unit IUNIT, if IUNIT .ne. 0. Thus, the user must make sure that
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C this logical unit is attached to a file or terminal before calling
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C this routine with a non-zero value for IUNIT. This routine does
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C not check for the validity of a non-zero IUNIT unit number.
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C
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C *Portability:
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C This routine, as distributed, can generate lines up to 229
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C characters long. Some Fortran systems have more restricted
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C line lengths. Change parameter MAXORD and the large number
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C in FORMAT 1010 to reduce this line length.
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C
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C***REFERENCES (NONE)
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C***ROUTINES CALLED (NONE)
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C***REVISION HISTORY (YYMMDD)
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C 871119 DATE WRITTEN
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C 881213 Previous REVISION DATE
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C 890915 Made changes requested at July 1989 CML Meeting. (MKS)
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C 890922 Numerous changes to prologue to make closer to SLATEC
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C standard. (FNF)
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C 890929 Numerous changes to reduce SP/DP differences. (FNF)
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C 910411 Prologue converted to Version 4.0 format. (BAB)
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C 920511 Added complete declaration section. (WRB)
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C 921007 Replaced hard-wired 225 with parameter MAXORD. (FNF)
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C 921021 Corrected syntax of CHARACTER declaration. (FNF)
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C 921026 Corrected D to E in output format. (FNF)
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C 930701 Updated CATEGORY section. (FNF, WRB)
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C***END PROLOGUE DCPPLT
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C .. Scalar Arguments ..
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INTEGER ISYM, IUNIT, N, NELT
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C .. Array Arguments ..
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DOUBLE PRECISION A(NELT)
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INTEGER IA(NELT), JA(NELT)
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C .. Parameters ..
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INTEGER MAXORD
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PARAMETER (MAXORD=225)
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C .. Local Scalars ..
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INTEGER I, ICOL, IROW, J, JBGN, JEND, NMAX
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C .. Local Arrays ..
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CHARACTER CHMAT(MAXORD)*(MAXORD)
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C .. Intrinsic Functions ..
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INTRINSIC MIN, MOD, REAL
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C***FIRST EXECUTABLE STATEMENT DCPPLT
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C
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C Set up the character matrix...
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C
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NMAX = MIN( MAXORD, N )
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DO 10 I = 1, NMAX
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CHMAT(I)(1:NMAX) = ' '
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10 CONTINUE
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DO 30 ICOL = 1, NMAX
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JBGN = JA(ICOL)
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JEND = JA(ICOL+1)-1
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DO 20 J = JBGN, JEND
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IROW = IA(J)
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IF( IROW.LE.NMAX ) THEN
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IF( ISYM.NE.0 ) THEN
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C Put in non-sym part as well...
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IF( A(J).EQ.0.0D0 ) THEN
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CHMAT(IROW)(ICOL:ICOL) = '0'
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ELSEIF( A(J).GT.0.0D0 ) THEN
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CHMAT(IROW)(ICOL:ICOL) = '#'
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ELSE
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CHMAT(IROW)(ICOL:ICOL) = '*'
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ENDIF
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ENDIF
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IF( IROW.EQ.ICOL ) THEN
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C Diagonal entry.
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IF( A(J).EQ.0.0D0 ) THEN
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CHMAT(IROW)(ICOL:ICOL) = '0'
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ELSEIF( A(J).GT.0.0D0 ) THEN
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CHMAT(IROW)(ICOL:ICOL) = 'D'
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ELSE
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CHMAT(IROW)(ICOL:ICOL) = 'N'
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ENDIF
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ELSE
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C Off-Diagonal entry
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IF( A(J).EQ.0.0D0 ) THEN
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CHMAT(IROW)(ICOL:ICOL) = '0'
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ELSEIF( A(J).GT.0.0D0 ) THEN
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CHMAT(IROW)(ICOL:ICOL) = '#'
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ELSE
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CHMAT(IROW)(ICOL:ICOL) = '*'
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ENDIF
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ENDIF
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ENDIF
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20 CONTINUE
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30 CONTINUE
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C
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C Write out the heading.
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WRITE(IUNIT,1000) N, NELT, REAL(NELT)/(N*N)
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WRITE(IUNIT,1010) (MOD(I,10),I=1,NMAX)
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C
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C Write out the character representations matrix elements.
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DO 40 IROW = 1, NMAX
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WRITE(IUNIT,1020) IROW, CHMAT(IROW)(1:NMAX)
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40 CONTINUE
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RETURN
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C
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1000 FORMAT(/'**** Picture of Column SLAP matrix follows ****'/
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$ ' N, NELT and Density = ',2I10,D16.7)
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C The following assumes MAXORD.le.225.
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1010 FORMAT(4X,225(I1))
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1020 FORMAT(1X,I3,A)
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C------------- LAST LINE OF DCPPLT FOLLOWS ----------------------------
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END
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