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- ! { 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
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