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solver.f90
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solver.f90
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SUBROUTINE solver_BICG3(coef,jcoef,b,x,n,m,eps,p,r,r2,v,ss,t,itmax,myid,iDIMstart,iDIMend,DIMcount)
!-----------------------------------------------------------------------!
! !
! BICONJUGUATE GRADIENT FILL-IN 2 !
! !
! ATTENTION : coef, jcoef et b are modified in this routine !
! --------- !
! !
!-----------------------------------------------------------------------!
use omp_lib
implicit none
!---------------------------------------------------!
! VARIABLES IN CALL !
!---------------------------------------------------!
integer, intent(in) :: n,m,itmax
double precision, intent(in) :: eps
double precision :: starttime
integer, dimension(m), intent(inout) :: jcoef
double precision, dimension(n,m), intent (inout) :: coef
double precision, dimension(n), intent (inout) :: b,x
double precision, dimension(n), intent(inout) :: p,r,r2 ,v,ss,t
!---------------------------------------------------!
! VARIABLES IN CALL OF MPI !
!---------------------------------------------------!
integer :: myid, iDIMstart, iDIMend
integer ,dimension(1:40) :: DIMcount
!---------------------------------------------------!
! LOCAL VARIABLES !
!---------------------------------------------------!
double precision :: alpha,beta,nu,mu,norm0,norm,sum,scal,norm1,norm2 ,omega,rho1,rho2
integer :: i,j,col, nx,ny,nz,ik,k
!iDIMstart, iDIMend
!---------------------------------------------------!
! BI CONJUGUATE GRADIENT !
!---------------------------------------------------!
norm0=norm2(b,n)
call matmul_ell(p,coef,jcoef,x,n,m)
!$OMP PARALLEL DO
do i=1,n; r(i)=b(i)-p(i); end do
!$OMP END PARALLEL DO
!$OMP PARALLEL DO
do i=1,n; r2(i) = r(i) ; end do
!$OMP END PARALLEL DO
rho1 = 1
alpha = 1
omega = 1
!$OMP PARALLEL DO
do i=1,n; v(i) = 0; end do
!$OMP END PARALLEL DO
!$OMP PARALLEL DO
do i=1,n; p(i) = 0; end do
!$OMP END PARALLEL DO
norm=0.
!$OMP PARALLEL DO
do i=1,n; norm=norm+r(i)*r(i); end do
!$OMP END PARALLEL DO
norm=sqrt(norm)/norm0
j=0
do while (norm>eps.and.j.lt.itmax)
j=j+1
rho2 = scal(r2,r,n)
beta = (rho2/rho1) * (alpha/omega)
!$OMP PARALLEL DO
do i=1,n; p(i) = r(i) + beta*(p(i)-omega*v(i)); end do
!$OMP END PARALLEL DO
call matmul_ell(v,coef,jcoef,p,n,m)
alpha = rho2 / scal(r2,v,n)
!$OMP PARALLEL DO
do i=1,n; ss(i) = r(i) - alpha*v(i); end do
!$OMP END PARALLEL DO
call matmul_ell(t,coef,jcoef,ss,n,m)
omega = scal(t,ss,n) / scal(t,t,n)
!$OMP PARALLEL DO
do i=1,n; x(i)=x(i)+alpha*p(i)+omega*ss(i); end do
!$OMP END PARALLEL DO
!$OMP PARALLEL DO
do i=1,n; r(i)=ss(i)-omega*t(i); end do
!$OMP END PARALLEL DO
rho1 = rho2
norm=0.0
!$OMP PARALLEL DO
do i=1,n; norm=norm+r(i)*r(i); end do
!$OMP END PARALLEL DO
norm=sqrt(norm)/norm0
end do
!---------------------------------------------------!
! SOLUTION SCALING !
!---------------------------------------------------!
if(myid==0)then
if(j.ge.itmax) then
print*, ' '
print*, 'non convergence =', j, norm
else
print*, ' '
print*, ' Iterations BICG3 =', j, norm
endif
endif
return
END SUBROUTINE solver_BICG3
SUBROUTINE matmul_ell(x,coef,jcoef,y,n,m)
implicit none
integer, intent(in) :: n,m
real*8, dimension(n,m), intent (in) :: coef
integer, dimension(m), intent(in) :: jcoef
real*8, dimension(n), intent(in) :: y
real*8, dimension(n), intent(out) :: x
integer :: i,j,col,a,b
!$OMP PARALLEL DO
do i=1,n
x(i)=coef(i,1)*y(i)
end do
!$OMP END PARALLEL DO
a = 0
b = 0
do j=2,m
col=jcoef(j)
if(j.eq.2)then
a = 0
b = 1
elseif (j.eq.3) then
a = 1
b = 2
elseif (j.eq.4) then
a = 2
b = 3
end if
!$OMP PARALLEL DO
do i=1,n-col
x(i)=x(i)+coef(i,j+a)*y(i+col)
end do
!$OMP END PARALLEL DO
!$OMP PARALLEL DO
do i=1+col,n
x(i)=x(i)+coef(i,j+b)*y(i-col)
end do
!$OMP END PARALLEL DO
!x(i+col)=x(i+col)+coef(i+col,j+b)*y(i)
end do
return
END SUBROUTINE matmul_ell
FUNCTION scal(x,y,n) result(res)
use omp_lib
implicit none
integer, intent(in) :: n
double precision, dimension(n), intent(in) :: x,y
integer :: i
double precision :: res
res=0.
!$OMP PARALLEL DO REDUCTION(+:res)
do i=1,n; res=res+x(i)*y(i); end do
!$OMP END PARALLEL DO
END FUNCTION
FUNCTION norm1(x,n) result(res)
use omp_lib
implicit none
integer, intent(in) :: n
double precision, dimension(n), intent(in) :: x
integer :: i
double precision :: res
res=0.
!$OMP PARALLEL DO REDUCTION(+:res)
do i=1,n; res=res+x(i)*x(i); end do
!$OMP END PARALLEL DO
END FUNCTION
FUNCTION norm2(x,n) result(res)
use omp_lib
implicit none
integer, intent(in) :: n
double precision, dimension(n), intent(in) :: x
integer :: i
double precision :: res
res=0.
!$OMP PARALLEL DO REDUCTION(+:res)
do i=1,n; res=res+x(i)*x(i); end do
!$OMP END PARALLEL DO
res=sqrt(res)
END FUNCTION