mirror of
https://github.com/autc04/Retro68.git
synced 2024-12-12 11:29:30 +00:00
77 lines
2.3 KiB
Fortran
77 lines
2.3 KiB
Fortran
! { dg-options "-O2" }
|
|
! { dg-skip-if "AArch64 tiny code model does not support programs larger than 1MiB" {aarch64_tiny} {"*"} {""} }
|
|
|
|
program strassen_matmul
|
|
use omp_lib
|
|
integer, parameter :: N = 1024
|
|
double precision, save :: A(N,N), B(N,N), C(N,N), D(N,N)
|
|
double precision :: start, end
|
|
|
|
call random_seed
|
|
call random_number (A)
|
|
call random_number (B)
|
|
start = omp_get_wtime ()
|
|
C = matmul (A, B)
|
|
end = omp_get_wtime ()
|
|
write(*,'(a, f10.6)') ' Time for matmul = ', end - start
|
|
D = 0
|
|
start = omp_get_wtime ()
|
|
call strassen (A, B, D, N)
|
|
end = omp_get_wtime ()
|
|
write(*,'(a, f10.6)') ' Time for Strassen = ', end - start
|
|
if (sqrt (sum ((C - D) ** 2)) / N .gt. 0.1) call abort
|
|
D = 0
|
|
start = omp_get_wtime ()
|
|
!$omp parallel
|
|
!$omp single
|
|
call strassen (A, B, D, N)
|
|
!$omp end single nowait
|
|
!$omp end parallel
|
|
end = omp_get_wtime ()
|
|
write(*,'(a, f10.6)') ' Time for Strassen MP = ', end - start
|
|
if (sqrt (sum ((C - D) ** 2)) / N .gt. 0.1) call abort
|
|
|
|
contains
|
|
|
|
recursive subroutine strassen (A, B, C, N)
|
|
integer, intent(in) :: N
|
|
double precision, intent(in) :: A(N,N), B(N,N)
|
|
double precision, intent(out) :: C(N,N)
|
|
double precision :: T(N/2,N/2,7)
|
|
integer :: K, L
|
|
|
|
if (iand (N,1) .ne. 0 .or. N < 64) then
|
|
C = matmul (A, B)
|
|
return
|
|
end if
|
|
K = N / 2
|
|
L = N / 2 + 1
|
|
!$omp task shared (A, B, T)
|
|
call strassen (A(:K,:K) + A(L:,L:), B(:K,:K) + B(L:,L:), T(:,:,1), K)
|
|
!$omp end task
|
|
!$omp task shared (A, B, T)
|
|
call strassen (A(L:,:K) + A(L:,L:), B(:K,:K), T(:,:,2), K)
|
|
!$omp end task
|
|
!$omp task shared (A, B, T)
|
|
call strassen (A(:K,:K), B(:K,L:) - B(L:,L:), T(:,:,3), K)
|
|
!$omp end task
|
|
!$omp task shared (A, B, T)
|
|
call strassen (A(L:,L:), B(L:,:K) - B(:K,:K), T(:,:,4), K)
|
|
!$omp end task
|
|
!$omp task shared (A, B, T)
|
|
call strassen (A(:K,:K) + A(:K,L:), B(L:,L:), T(:,:,5), K)
|
|
!$omp end task
|
|
!$omp task shared (A, B, T)
|
|
call strassen (A(L:,:K) - A(:K,:K), B(:K,:K) + B(:K,L:), T(:,:,6), K)
|
|
!$omp end task
|
|
!$omp task shared (A, B, T)
|
|
call strassen (A(:K,L:) - A(L:,L:), B(L:,:K) + B(L:,L:), T(:,:,7), K)
|
|
!$omp end task
|
|
!$omp taskwait
|
|
C(:K,:K) = T(:,:,1) + T(:,:,4) - T(:,:,5) + T(:,:,7)
|
|
C(L:,:K) = T(:,:,2) + T(:,:,4)
|
|
C(:K,L:) = T(:,:,3) + T(:,:,5)
|
|
C(L:,L:) = T(:,:,1) - T(:,:,2) + T(:,:,3) + T(:,:,6)
|
|
end subroutine strassen
|
|
end
|