C
C Program TRSMSM to compute trace tr(SM1*SM2) of the product of two C symmetric matrices SM1 and SM2 C C Version: 5.50 C Date: 2001, May 12 C C Coded by Petr Bulant and Ludek Klimes C Department of Geophysics, Charles University Prague, C Ke Karlovu 3, 121 16 Praha 2, Czech Republic, C E-mails: bulant@seis.karlov.mff.cuni.cz C klimes@seis.karlov.mff.cuni.cz C C....................................................................... C C Description of data files: C C Input data read from the standard input device (*): C The data are read by the list directed input (free format) and C consist of a single string 'SEP': C 'SEP'...String in apostrophes containing the name of the input C SEP parameter or history file with the input data. C No default, 'SEP' must be specified and cannot be blank. C C C Input data file 'SEP': C File 'SEP' has the form of the SEP C parameter file. The parameters, which do not differ from their C defaults, need not be specified in file 'SEP'. C Data specifying dimensions of the matrices: C M1='string'... Name of the file containing a single integer number C specifying the number of rows (and columns) of symmetric C matrices SM1 and SM2. C Default: M1=' ' means that the number is 1. C Filenames of the files with the matrices: C SM1='string'... Name of the input file containing matrix SM1. C No default, SM1 must be specified and cannot be blank. C SM2='string'... Name of the input file containing matrix SM2. C No default, SM2 must be specified and cannot be blank. C TRACE='string'... Name of the output file containing a single C value, trace tr(SM1*SM2) of the product of two symmetric C matrices SM1 and SM2. C No default, TRACE must be specified and cannot be blank. C For general description of the files with matrices refer to file C forms.htm. C Form of the files with matrices: C FORMM='string'... Form of the files with matrices. Allowed values C are FORMM='formatted' and FORMM='unformatted'. If the form C differs for input and for output files, FORMMR and FORMMW C should be used instead of FORMM. C Default: FORMM='formatted' C FORMMR='string'... Form of the files with matrices to be read. C Default: FORMMR=FORMM C FORMMW='string'... Form of the files with matrices to be written. C Default: FORMMW=FORMM C C----------------------------------------------------------------------- C C Subroutines and external functions required: EXTERNAL ERROR,RSEP1,RSEP3T,RMAT,WMAT C ERROR ... File error.for. C RSEP1,RSEP3T ... File sep.for. C RMAT,WMAT ... File forms.for. C C Common block /RAMC/: INCLUDE 'ram.inc' C ram.inc C CHARACTER*80 FILSEP,FILE1,FILE2,FILE3 INTEGER LU1,M1,NN,I1,I2,I PARAMETER (LU1=1) REAL TRACE C C----------------------------------------------------------------------- C C Reading a name of the file with the input data: FILSEP=' ' WRITE(*,'(A)') '+TRSMSM: Enter input filename: ' READ(*,*) FILSEP C C Reading all the data from the SEP file into the memory: IF (FILSEP.NE.' ') THEN CALL RSEP1(LU1,FILSEP) ELSE C TRSMSM-01 CALL ERROR('TRSMSM-01: SEP file not given') ENDIF C C Reading the dimension of the matrices: CALL RSEP3T('M1',FILE1,' ') IF (FILE1.EQ.' ') THEN M1=1 ELSE OPEN(LU1,FILE=FILE1,STATUS='OLD') READ(LU1,*) M1 CLOSE(LU1) ENDIF NN=M1*(M1+1)/2 C IF (2*NN.GT.MRAM) THEN C TRSMSM-02 CALL ERROR('TRSMSM-02: Small dimension MRAM of array RAM') END IF C C Reading the names of the files with the matrices: CALL RSEP3T('SM1',FILE1,' ') CALL RSEP3T('SM2',FILE2,' ') CALL RSEP3T('TRACE',FILE3,' ') IF (FILE1.EQ.' ') THEN C TRSMSM-03 CALL ERROR('TRSMSM-03: Input file with matrix SM1 not given') ENDIF IF (FILE2.EQ.' ') THEN C TRSMSM-04 CALL ERROR('TRSMSM-04: Input file with matrix SM2 not given') ENDIF IF (FILE3.EQ.' ') THEN C TRSMSM-05 CALL ERROR('TRSMSM-05: Output filename TRACE not specified') ENDIF C C Reading input matrices: CALL RMAT(LU1,FILE1,M1,0,RAM) CALL RMAT(LU1,FILE2,M1,0,RAM(NN+1)) C WRITE(*,'(A)') '+TRSMSM: Working... ' C C Calculating the trace: TRACE=0. I=0 C Loop over columns: DO 12, I2=1,M1 C Loop over rows: DO 11, I1=1,I2-1 I=I+1 TRACE=TRACE+2.*RAM(I)*RAM(NN+I) 11 CONTINUE I=I+1 TRACE=TRACE+RAM(I)*RAM(NN+I) 12 CONTINUE C C Writing output file TRACE: RAM(1)=TRACE IF (FILE3.NE.' ') THEN CALL WMAT(LU1,FILE3,1,1,RAM) ENDIF WRITE(*,'(A)') '+TRSMSM: Done. ' C STOP END C C======================================================================= C INCLUDE 'error.for' C error.for INCLUDE 'sep.for' C sep.for INCLUDE 'forms.for' C forms.for INCLUDE 'length.for' C length.for C C======================================================================= C