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tea_leaf_ppcg.f90
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tea_leaf_ppcg.f90
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!Crown Copyright 2016 AWE.
!
! This file is part of TeaLeaf.
!
! TeaLeaf is free software: you can redistribute it and/or modify it under
! the terms of the GNU General Public License as published by the
! Free Software Foundation, either version 3 of the License, or (at your option)
! any later version.
!
! TeaLeaf is distributed in the hope that it will be useful, but
! WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
! FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
! details.
!
! You should have received a copy of the GNU General Public License along with
! TeaLeaf. If not, see http://www.gnu.org/licenses/.
!> @brief Fortran heat conduction kernel
!> @author Michael Boulton, Wayne Gaudin, Douglas Shanks
!> @details Implicitly calculates the change in temperature using polynomially preconditioned CG
MODULE tea_leaf_kernel_ppcg_module
USE tea_leaf_kernel_common_module
USE tea_leaf_kernel_cheby_module
USE definitions_module, only: tl_ppcg_active ! added for ppcg init
IMPLICIT NONE
CONTAINS
SUBROUTINE tea_leaf_kernel_ppcg_init_sd(x_min, &
x_max, &
y_min, &
y_max, &
z_min, &
z_max, &
halo_exchange_depth,&
r, &
kx, &
ky, &
kz, &
sd, &
z, &
cp, &
bfp, &
Mi, &
rx, ry, rz, &
theta, &
rtemp, &
utemp, &
preconditioner_type)
IMPLICIT NONE
INTEGER :: preconditioner_type
INTEGER(KIND=4):: x_min,x_max,y_min,y_max,z_min,z_max,halo_exchange_depth
REAL(KIND=8), DIMENSION(x_min-halo_exchange_depth:x_max+halo_exchange_depth,&
y_min-halo_exchange_depth:y_max+halo_exchange_depth,&
z_min-halo_exchange_depth:z_max+halo_exchange_depth) :: r, sd, kx, ky, z, mi, Kz, rtemp, utemp
REAL(KIND=8), DIMENSION(x_min:x_max,y_min:y_max,z_min:z_max) :: cp, bfp
REAL(KIND=8) :: theta, rx, ry, rz
INTEGER :: j,k,l
!$OMP PARALLEL
IF (preconditioner_type .NE. TL_PREC_NONE) THEN
! Use a block Jacobi preconditioner
IF (preconditioner_type .EQ. TL_PREC_JAC_BLOCK) THEN
CALL tea_block_solve(x_min, x_max, y_min, y_max, z_min, z_max, halo_exchange_depth, r, z, cp,&
bfp, Kx, Ky, Kz, rx, ry, rz)
! Use a point diagonal Jacobi preconditioner
ELSE IF (preconditioner_type .EQ. TL_PREC_JAC_DIAG) THEN
CALL tea_diag_solve(x_min, x_max, y_min, y_max, z_min, z_max, halo_exchange_depth, r, z, Mi)
ENDIF
!$OMP DO
DO l=z_min,z_max
DO k=y_min,y_max
DO j=x_min,x_max
sd(j, k, l) = z(j, k, l)/theta
rtemp(j, k, l) = r(j, k, l)
utemp(j, k, l) = sd(j, k, l)
ENDDO
ENDDO
ENDDO
!$OMP END DO NOWAIT
ELSE
!$OMP DO
DO l=z_min,z_max
DO k=y_min,y_max
DO j=x_min,x_max
sd(j, k, l) = r(j, k, l)/theta
rtemp(j, k, l) = r(j, k, l)
utemp(j, k, l) = sd(j, k, l)
ENDDO
ENDDO
ENDDO
!$OMP END DO NOWAIT
ENDIF
!$OMP END PARALLEL
END SUBROUTINE tea_leaf_kernel_ppcg_init_sd
SUBROUTINE tea_leaf_kernel_ppcg_inner(x_min, &
x_max, &
y_min, &
y_max, &
z_min, &
z_max, &
halo_exchange_depth,&
x_min_bound, &
x_max_bound, &
y_min_bound, &
y_max_bound, &
z_min_bound, &
z_max_bound, &
alpha, &
beta, &
rx, ry, rz, &
inner_step, &
u, &
r, &
rtemp, &
utemp, &
Kx, &
Ky, &
Kz, &
sd, &
z, &
cp, &
bfp, &
Mi, &
preconditioner_type)
IMPLICIT NONE
INTEGER :: preconditioner_type
INTEGER(KIND=4):: x_min,x_max,y_min,y_max,z_min,z_max,halo_exchange_depth
REAL(KIND=8), DIMENSION(x_min-halo_exchange_depth:x_max+halo_exchange_depth,&
y_min-halo_exchange_depth:y_max+halo_exchange_depth,&
z_min-halo_exchange_depth:z_max+halo_exchange_depth) :: u, r, Kx, Ky, sd, Kz, z, Mi, rtemp, utemp
REAL(KIND=8), DIMENSION(x_min:x_max,y_min:y_max,z_min:z_max) :: cp, bfp
INTEGER(KIND=4) :: j,k,l
REAL(KIND=8), DIMENSION(:) :: alpha, beta
REAL(KIND=8) :: smvp, rx, ry, rz
INTEGER(KIND=4) :: x_min_bound, x_max_bound, y_min_bound, y_max_bound, z_min_bound, z_max_bound, inner_step
!$OMP PARALLEL PRIVATE(smvp)
!$OMP DO
DO l=z_min_bound,z_max_bound
DO k=y_min_bound,y_max_bound
DO j=x_min_bound,x_max_bound
smvp = (1.0_8 &
+ rx*(Kx(j+1, k, l) + Kx(j, k, l)) &
+ ry*(Ky(j, k+1, l) + Ky(j, k, l)) &
+ rz*(Kz(j, k, l+1) + Kz(j, k, l)))*sd(j, k, l) &
- rx*(Kx(j+1, k, l)*sd(j+1, k, l) + Kx(j, k, l)*sd(j-1, k, l))&
- ry*(Ky(j, k+1, l)*sd(j, k+1, l) + Ky(j, k, l)*sd(j, k-1, l))&
- rz*(Kz(j, k, l+1)*sd(j, k, l+1) + Kz(j, k, l)*sd(j, k, l-1))
rtemp(j, k, l) = rtemp(j, k, l) - smvp
ENDDO
ENDDO
ENDDO
!$OMP END DO
IF (preconditioner_type .NE. TL_PREC_NONE) THEN
! Use a block Jacobi preconditioner
IF (preconditioner_type .EQ. TL_PREC_JAC_BLOCK) THEN
CALL tea_block_solve(x_min, x_max, y_min, y_max, z_min, z_max, halo_exchange_depth, rtemp, z, cp,&
bfp, Kx, Ky, Kz, rx, ry, rz)
! Use a point diagonal Jacobi preconditioner
ELSE IF (preconditioner_type .EQ. TL_PREC_JAC_DIAG) THEN
CALL tea_diag_solve(x_min, x_max, y_min, y_max, z_min, z_max, halo_exchange_depth, rtemp, z, Mi)
ENDIF
!$OMP DO
DO l=z_min_bound,z_max_bound
DO k=y_min_bound,y_max_bound
DO j=x_min_bound,x_max_bound
sd(j, k, l) = alpha(inner_step)*sd(j, k, l) + beta(inner_step)*z(j, k, l)
utemp(j, k, l) = utemp(j, k, l) + sd(j, k, l)
ENDDO
ENDDO
ENDDO
!$OMP END DO NOWAIT
ELSE
!$OMP DO
DO l=z_min_bound,z_max_bound
DO k=y_min_bound,y_max_bound
DO j=x_min_bound,x_max_bound
sd(j, k, l) = alpha(inner_step)*sd(j, k, l) + beta(inner_step)*rtemp(j, k, l)
utemp(j, k, l) = utemp(j, k, l) + sd(j, k, l)
ENDDO
ENDDO
ENDDO
!$OMP END DO NOWAIT
ENDIF
!$OMP END PARALLEL
END SUBROUTINE
SUBROUTINE tea_leaf_ppcg_calc_zrnorm_kernel(x_min, &
x_max, &
y_min, &
y_max, &
z_min, &
z_max, &
halo_exchange_depth,&
z, &
r, &
preconditioner_type,&
norm)
IMPLICIT NONE
INTEGER :: preconditioner_type
INTEGER(KIND=4):: x_min,x_max,y_min,y_max,z_min,z_max,halo_exchange_depth
REAL(KIND=8), DIMENSION(x_min-halo_exchange_depth:x_max+halo_exchange_depth,&
y_min-halo_exchange_depth:y_max+halo_exchange_depth,&
z_min-halo_exchange_depth:z_max+halo_exchange_depth) :: r, z
REAL(KIND=8) :: norm
integer :: j, k,l
norm = 0.0_8
!$OMP PARALLEL
IF (preconditioner_type .NE. TL_PREC_NONE .OR. tl_ppcg_active) THEN
!$OMP DO REDUCTION(+:norm)
DO l=z_min,z_max
DO k=y_min,y_max
DO j=x_min,x_max
norm = norm + r(j, k, l)*z(j, k, l)
ENDDO
ENDDO
ENDDO
!$OMP END DO
ELSE
!$OMP DO REDUCTION(+:norm)
DO l=z_min,z_max
DO k=y_min,y_max
DO j=x_min,x_max
norm = norm + r(j, k, l)*r(j, k, l)
ENDDO
ENDDO
ENDDO
!$OMP END DO
ENDIF
!$OMP END PARALLEL
end SUBROUTINE tea_leaf_ppcg_calc_zrnorm_kernel
SUBROUTINE tea_calc_ls_coefs(ch_alphas, ch_betas, eigmin, eigmax, &
theta, ppcg_inner_steps)
INTEGER :: ppcg_inner_steps
REAL(KIND=8), DIMENSION(ppcg_inner_steps) :: ch_alphas, ch_betas
REAL(KIND=8) :: eigmin, eigmax, theta
! TODO
CALL tea_calc_ch_coefs(ch_alphas, ch_betas, eigmin, eigmax, &
theta, ppcg_inner_steps)
END SUBROUTINE
! NEW ROUTINES
! Calculate the residual, using FCG(1) to minimise rounding error
SUBROUTINE tea_leaf_kernel_ppcg_calc_rrn(x_min, &
x_max, &
y_min, &
y_max, &
z_min, &
z_max, &
halo_exchange_depth,&
r, &
rstore, &
z, &
rrn)
IMPLICIT NONE
INTEGER(KIND=4):: x_min,x_max,y_min,y_max,z_min,z_max,halo_exchange_depth
REAL(KIND=8), DIMENSION(x_min-halo_exchange_depth:x_max+halo_exchange_depth,&
y_min-halo_exchange_depth:y_max+halo_exchange_depth,&
z_min-halo_exchange_depth:z_max+halo_exchange_depth) :: r, rstore, z
INTEGER :: j,k,l
REAL(KIND=8) :: rrn
rrn = 0.0_8
!$OMP PARALLEL
!$OMP DO REDUCTION(+:rrn)
DO l=z_min,z_max
DO k=y_min,y_max
DO j=x_min,x_max
rrn = rrn + ( r(j, k, l) - rstore(j, k, l) )*z(j, k, l)
ENDDO
ENDDO
ENDDO
!$OMP END DO
!$OMP END PARALLEL
END SUBROUTINE
! Store the previous residual
SUBROUTINE tea_leaf_kernel_ppcg_store_r(x_min, &
x_max, &
y_min, &
y_max, &
z_min, &
z_max, &
halo_exchange_depth,&
r, &
rstore)
IMPLICIT NONE
INTEGER(KIND=4):: x_min,x_max,y_min,y_max,z_min,z_max,halo_exchange_depth
REAL(KIND=8), DIMENSION(x_min-halo_exchange_depth:x_max+halo_exchange_depth,&
y_min-halo_exchange_depth:y_max+halo_exchange_depth,&
z_min-halo_exchange_depth:z_max+halo_exchange_depth) :: r, rstore
INTEGER :: j,k,l
!$OMP PARALLEL
!$OMP DO
DO l=z_min,z_max
DO k=y_min,y_max
DO j=x_min,x_max
rstore(j, k, l) = r(j, k, l)
ENDDO
ENDDO
ENDDO
!$OMP END DO
!$OMP END PARALLEL
END SUBROUTINE
! Routine to update z
SUBROUTINE tea_leaf_kernel_ppcg_update_z(x_min, &
x_max, &
y_min, &
y_max, &
z_min, &
z_max, &
halo_exchange_depth,&
z, &
utemp)
IMPLICIT NONE
INTEGER(KIND=4):: x_min,x_max,y_min,y_max,z_min,z_max,halo_exchange_depth
REAL(KIND=8), DIMENSION(x_min-halo_exchange_depth:x_max+halo_exchange_depth,&
y_min-halo_exchange_depth:y_max+halo_exchange_depth,&
z_min-halo_exchange_depth:z_max+halo_exchange_depth) :: z, utemp
INTEGER :: j,k,l
!$OMP PARALLEL
!$OMP DO
DO l=z_min,z_max
DO k=y_min,y_max
DO j=x_min,x_max
z(j, k, l) = utemp(j, k, l)
ENDDO
ENDDO
ENDDO
!$OMP END DO
!$OMP END PARALLEL
END SUBROUTINE
!PPCG initialisation routine
SUBROUTINE tea_leaf_kernel_ppcg_init(x_min, &
x_max, &
y_min, &
y_max, &
z_min, &
z_max, &
halo_exchange_depth,&
p, &
r, &
z, &
rx, ry, rz, &
Kx, &
Ky, &
Kz, &
Mi, &
cp, &
bfp, &
rro, &
preconditioner_type,&
step)
IMPLICIT NONE
INTEGER :: preconditioner_type
INTEGER :: step
INTEGER(KIND=4):: x_min,x_max,y_min,y_max,z_min,z_max,halo_exchange_depth
REAL(KIND=8), DIMENSION(x_min-halo_exchange_depth:x_max+halo_exchange_depth,&
y_min-halo_exchange_depth:y_max+halo_exchange_depth,&
z_min-halo_exchange_depth:z_max+halo_exchange_depth) :: p, r, z, Mi, Kx, Ky, Kz
REAL(KIND=8), DIMENSION(x_min:x_max,y_min:y_max,z_min:z_max) :: cp, bfp
INTEGER :: j,k,l
REAL(KIND=8) :: rro,rx, ry, rz
!$OMP PARALLEL
IF (step == 1 .OR. step == 3) rro = 0.0_8
IF (step == 1) THEN
!$OMP DO
DO l=z_min,z_max
DO k=y_min,y_max
DO j=x_min,x_max
p(j, k, l) = 0.0_8
z(j, k, l) = 0.0_8
ENDDO
ENDDO
ENDDO
!$OMP END DO
ELSEIF (step == 3) THEN
!$OMP DO
DO l=z_min,z_max
DO k=y_min,y_max
DO j=x_min,x_max
p(j, k, l) = 0.0_8
ENDDO
ENDDO
ENDDO
!$OMP END DO
ENDIF
IF (preconditioner_type .NE. TL_PREC_NONE .OR. (tl_ppcg_active .AND. step == 3)) THEN
! We don't apply the preconditioner on the final application of the polynomial acceleration
IF (step == 1 .OR. step == 2) THEN
! Use a block Jacobi preconditioner
IF (preconditioner_type .EQ. TL_PREC_JAC_BLOCK) THEN
CALL tea_block_solve(x_min, x_max, y_min, y_max, z_min, z_max, halo_exchange_depth, r, z, cp,&
bfp, Kx, Ky, Kz, rx, ry, rz)
! Use a point diagonal Jacobi preconditioner
ELSE IF (preconditioner_type .EQ. TL_PREC_JAC_DIAG) THEN
CALL tea_diag_solve(x_min, x_max, y_min, y_max, z_min, z_max, halo_exchange_depth, r, z, Mi)
ENDIF
ENDIF
IF ( step == 1 .OR. step ==3 ) THEN
!$OMP DO
DO l=z_min,z_max
DO k=y_min,y_max
DO j=x_min,x_max
p(j, k, l) = z(j, k, l)
ENDDO
ENDDO
ENDDO
!$OMP END DO NOWAIT
ENDIF
ELSE
IF (step == 1) THEN
!$OMP DO
DO l=z_min,z_max
DO k=y_min,y_max
DO j=x_min,x_max
p(j, k, l) = r(j, k, l)
ENDDO
ENDDO
ENDDO
!$OMP END DO NOWAIT
ENDIF
ENDIF
IF (step == 1 .OR. step == 3) THEN
!$OMP DO REDUCTION(+:rro)
DO l=z_min,z_max
DO k=y_min,y_max
DO j=x_min,x_max
rro = rro + r(j, k, l)*p(j, k, l)
ENDDO
ENDDO
ENDDO
!$OMP END DO NOWAIT
ENDIF
!$OMP END PARALLEL
END SUBROUTINE
END MODULE