2022-11-27 12:11:34 +07:00
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C*********************************************************************
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C
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C This benchmark test program is measuring a cpu performance
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C of floating point operation by a Poisson equation solver.
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CC
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C If you have any question, please ask me via email.
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C written by Ryutaro HIMENO, November 26, 2001.
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C Version 3.0
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C ----------------------------------------------
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C Ryutaro Himeno, Dr. of Eng.
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C Head of Computer Information Division,
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C RIKEN (The Institute of Pysical and Chemical Research)
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C Email : himeno@postman.riken.go.jp
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C ---------------------------------------------------------------
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C You can adjust the size of this benchmark code to fit your target
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C computer. In that case, please chose following sets of
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C (mimax,mjmax,mkmax):
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C small : 65,33,33
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C small : 129,65,65
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C midium: 257,129,129
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C large : 513,257,257
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C ext.large: 1025,513,513
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C This program is to measure a computer performance in MFLOPS
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C by using a kernel which appears in a linear solver of pressure
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C Poisson eq. which appears in an incompressible Navier-Stokes solver.
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C A point-Jacobi method is employed in this solver as this method can
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C be easyly vectrized and be parallelized.
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C ------------------
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C Finite-difference method, curvilinear coodinate system
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C Vectorizable and parallelizable on each grid point
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C No. of grid points : imax x jmax x kmax including boundaries
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C ------------------
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C A,B,C:coefficient matrix, wrk1: source term of Poisson equation
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C wrk2 : working area, OMEGA : relaxation parameter
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C BND:control variable for boundaries and objects ( = 0 or 1)
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C P: pressure
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C -------------------
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C -------------------
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C "use portlib" statement on the next line is for Visual fortran
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C to use UNIX libraries. Please remove it if your system is UNIX.
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C -------------------
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! use portlib
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use omp_lib
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IMPLICIT REAL*4(a-h,o-z)
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real*8 t1,t2
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C
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C PARAMETER (mimax=513,mjmax=257,mkmax=257)
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C PARAMETER (mimax=257,mjmax=129,mkmax=129)
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PARAMETER (mimax=129,mjmax=65,mkmax=65)
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C PARAMETER (mimax=65,mjmax=33,mkmax=33)
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C
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C ttarget specifys the measuring period in sec
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PARAMETER (ttarget=60.0)
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CC Arrey
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common /pres/ p(mimax,mjmax,mkmax)
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common /mtrx/ a(mimax,mjmax,mkmax,4),
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+ b(mimax,mjmax,mkmax,3),c(mimax,mjmax,mkmax,3)
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common /bound/ bnd(mimax,mjmax,mkmax)
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common /work/ wrk1(mimax,mjmax,mkmax),wrk2(mimax,mjmax,mkmax)
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CC Other constants
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common /others/ imax,jmax,kmax,omega
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C
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dimension time0(2),time1(2)
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C
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omega=0.8
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imax=mimax-1
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jmax=mjmax-1
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kmax=mkmax-1
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CC Initializing matrixes
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call initmt
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write(*,*) ' mimax=',mimax,' mjmax=',mjmax,' mkmax=',mkmax
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write(*,*) ' imax=',imax,' jmax=',jmax,' kmax=',kmax
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CC Start measuring
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C
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nn=10000
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write(*,*) ' Start rehearsal measurement process.'
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write(*,*) ' Measure the performance in 10000 times.'
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C
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2022-11-27 12:37:54 +07:00
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! cpu0=dtime(time0)
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2022-11-27 12:11:34 +07:00
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t1 = omp_get_wtime()
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2022-11-27 12:23:27 +07:00
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!$OMP PARALLEL DO
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2022-11-27 12:11:34 +07:00
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C
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C Jacobi iteration
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call jacobi(nn,gosa)
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C
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2022-11-27 12:37:54 +07:00
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! cpu1= dtime(time1)
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2022-11-27 12:23:27 +07:00
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!$OMP END PARALLEL DO
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2022-11-27 12:11:34 +07:00
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t2 = omp_get_wtime()
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2022-11-27 12:37:54 +07:00
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! cpu = cpu1
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2022-11-27 12:11:34 +07:00
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cpu = t2-t1
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flop=real(kmax-2)*real(jmax-2)*real(imax-2)*34.0*real(nn)
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xmflops2=flop/cpu*1.0e-6
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write(*,*) ' MFLOPS:',xmflops2,' time(s):',cpu,gosa
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C
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C end the test loop
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! nn=ifix(ttarget/(cpu/3.0))
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! write(*,*) 'Now, start the actual measurement process.'
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! write(*,*) 'The loop will be excuted in',nn,' times.'
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! write(*,*) 'This will take about one minute.'
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! write(*,*) 'Wait for a while.'
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C
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C Jacobi iteration
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! cpu0=dtime(time0)
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! call jacobi(nn,gosa)
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C
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! cpu1= dtime(time1)
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! cpu = cpu1
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! flop=real(kmax-2)*real(jmax-2)*real(imax-2)*34.0*real(nn)
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! xmflops2=flop*1.0e-6/cpu
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C
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CCC xmflops2=nflop/cpu*1.0e-6*float(nn)
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C
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! write(*,*) ' Loop executed for ',nn,' times'
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! write(*,*) ' Gosa :',gosa
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! write(*,*) ' MFLOPS:',xmflops2, ' time(s):',cpu
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! score=xmflops2/82.84
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! write(*,*) ' Score based on Pentium III 600MHz :',score
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C
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! pause
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stop
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END
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C
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C
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C**************************************************************
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subroutine initmt
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C**************************************************************
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IMPLICIT REAL*4(a-h,o-z)
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C
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C PARAMETER (mimax=513,mjmax=257,mkmax=257)
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C PARAMETER (mimax=257,mjmax=129,mkmax=129)
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PARAMETER (mimax=129,mjmax=65,mkmax=65)
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C PARAMETER (mimax=65,mjmax=33,mkmax=33)
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C
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CC Arrey
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common /pres/ p(mimax,mjmax,mkmax)
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common /mtrx/ a(mimax,mjmax,mkmax,4),
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+ b(mimax,mjmax,mkmax,3),c(mimax,mjmax,mkmax,3)
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common /bound/ bnd(mimax,mjmax,mkmax)
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common /work/ wrk1(mimax,mjmax,mkmax),wrk2(mimax,mjmax,mkmax)
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CC other constants
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common /others/ imax,jmax,kmax,omega
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C
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do k=1,mkmax
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do j=1,mjmax
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do i=1,mimax
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a(i,j,k,1)=0.0
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a(i,j,k,2)=0.0
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a(i,j,k,3)=0.0
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a(i,j,k,4)=0.0
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b(i,j,k,1)=0.0
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b(i,j,k,2)=0.0
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b(i,j,k,3)=0.0
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c(i,j,k,1)=0.0
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c(i,j,k,2)=0.0
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c(i,j,k,3)=0.0
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p(i,j,k) =0.0
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wrk1(i,j,k)=0.0
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bnd(i,j,k)=0.0
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enddo
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enddo
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enddo
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C
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do k=1,kmax
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do j=1,jmax
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do i=1,imax
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a(i,j,k,1)=1.0
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a(i,j,k,2)=1.0
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a(i,j,k,3)=1.0
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a(i,j,k,4)=1.0/6.0
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b(i,j,k,1)=0.0
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b(i,j,k,2)=0.0
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b(i,j,k,3)=0.0
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c(i,j,k,1)=1.0
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c(i,j,k,2)=1.0
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c(i,j,k,3)=1.0
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p(i,j,k) =float((k-1)*(k-1))/float((kmax-1)*(kmax-1))
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wrk1(i,j,k)=0.0
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bnd(i,j,k)=1.0
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enddo
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enddo
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enddo
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C
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return
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end
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C
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C*************************************************************
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subroutine jacobi(nn,gosa)
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C*************************************************************
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IMPLICIT REAL*4(a-h,o-z)
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C
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C PARAMETER (mimax=513,mjmax=257,mkmax=257)
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C PARAMETER (mimax=257,mjmax=129,mkmax=129)
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PARAMETER (mimax=129,mjmax=65,mkmax=65)
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C PARAMETER (mimax=65,mjmax=33,mkmax=33)
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C
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CC Arrey
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common /pres/ p(mimax,mjmax,mkmax)
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common /mtrx/ a(mimax,mjmax,mkmax,4),
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+ b(mimax,mjmax,mkmax,3),c(mimax,mjmax,mkmax,3)
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common /bound/ bnd(mimax,mjmax,mkmax)
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common /work/ wrk1(mimax,mjmax,mkmax),wrk2(mimax,mjmax,mkmax)
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CC other constants
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common /others/ imax,jmax,kmax,omega
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C
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C
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DO loop=1,nn
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gosa=0.0
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DO K=2,kmax-1
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DO J=2,jmax-1
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DO I=2,imax-1
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S0=a(I,J,K,1)*p(I+1,J,K)+a(I,J,K,2)*p(I,J+1,K)
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1 +a(I,J,K,3)*p(I,J,K+1)
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2 +b(I,J,K,1)*(p(I+1,J+1,K)-p(I+1,J-1,K)
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3 -p(I-1,J+1,K)+p(I-1,J-1,K))
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4 +b(I,J,K,2)*(p(I,J+1,K+1)-p(I,J-1,K+1)
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5 -p(I,J+1,K-1)+p(I,J-1,K-1))
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6 +b(I,J,K,3)*(p(I+1,J,K+1)-p(I-1,J,K+1)
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7 -p(I+1,J,K-1)+p(I-1,J,K-1))
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8 +c(I,J,K,1)*p(I-1,J,K)+c(I,J,K,2)*p(I,J-1,K)
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9 +c(I,J,K,3)*p(I,J,K-1)+wrk1(I,J,K)
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SS=(S0*a(I,J,K,4)-p(I,J,K))*bnd(I,J,K)
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GOSA=GOSA+SS*SS
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wrk2(I,J,K)=p(I,J,K)+OMEGA *SS
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enddo
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enddo
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enddo
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C
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DO K=2,kmax-1
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DO J=2,jmax-1
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DO I=2,imax-1
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p(I,J,K)=wrk2(I,J,K)
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enddo
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enddo
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enddo
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C
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enddo
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CC End of iteration
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return
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end
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