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src/post_process/m_lapack_example.f90

Lines changed: 27 additions & 27 deletions
Original file line numberDiff line numberDiff line change
@@ -13,11 +13,11 @@ module m_lapack_example
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implicit none
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private; public :: s_lapack_example_solve_linear_system, &
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s_lapack_example_eigenvalues
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s_lapack_example_eigenvalues
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contains
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!> @brief Example subroutine demonstrating LAPACK usage for solving
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!> @brief Example subroutine demonstrating LAPACK usage for solving
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!! a linear system Ax = b using DGESV/SGESV
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!! This routine shows how to use LAPACK with MFC's precision system
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impure subroutine s_lapack_example_solve_linear_system()
@@ -27,35 +27,35 @@ impure subroutine s_lapack_example_solve_linear_system()
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real(wp), dimension(n, n) :: A ! Coefficient matrix
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real(wp), dimension(n) :: b ! Right-hand side vector
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real(wp), dimension(n) :: x ! Solution vector
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! LAPACK variables
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integer, dimension(n) :: ipiv ! Pivot indices
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integer :: info ! Return status
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integer :: nrhs = 1 ! Number of right-hand sides
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integer, parameter :: nrhs = 1 ! Number of right-hand sides
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! Only run on the root process to avoid duplicate output
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if (proc_rank /= 0) return
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! Set up a simple 3x3 linear system: Ax = b
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! Example:
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! Example:
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! 2x + y + z = 8
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! x + 3y + z = 10
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! x + 3y + z = 10
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! x + y + 4z = 16
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A(1, :) = [2.0_wp, 1.0_wp, 1.0_wp]
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A(2, :) = [1.0_wp, 3.0_wp, 1.0_wp]
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A(3, :) = [1.0_wp, 1.0_wp, 4.0_wp]
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b = [8.0_wp, 10.0_wp, 16.0_wp]
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print *, "=== LAPACK Linear System Solver Example ==="
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print *, "Solving the system Ax = b where:"
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print *, "A = [2 1 1; 1 3 1; 1 1 4]"
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print *, "b = [8; 10; 16]"
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print *, ""
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! Copy b to x (LAPACK will overwrite the right-hand side with solution)
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x = b
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! Call appropriate LAPACK routine based on precision
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#ifdef MFC_SINGLE_PRECISION
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call sgesv(n, nrhs, A, n, ipiv, x, n, info)
@@ -64,7 +64,7 @@ impure subroutine s_lapack_example_solve_linear_system()
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call dgesv(n, nrhs, A, n, ipiv, x, n, info)
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print *, "Using double precision LAPACK (DGESV)"
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#endif
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! Check for success
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if (info == 0) then
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print *, "Linear system solved successfully!"
@@ -75,13 +75,13 @@ impure subroutine s_lapack_example_solve_linear_system()
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else
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print *, "LAPACK error: matrix is singular, solution could not be computed"
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end if
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print *, "=== End LAPACK Example ==="
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print *, ""
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end subroutine s_lapack_example_solve_linear_system
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!> @brief Example subroutine demonstrating LAPACK usage for computing
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!> @brief Example subroutine demonstrating LAPACK usage for computing
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!! eigenvalues of a symmetric matrix using DSYEV/SSYEV
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impure subroutine s_lapack_example_eigenvalues()
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@@ -90,24 +90,24 @@ impure subroutine s_lapack_example_eigenvalues()
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real(wp), dimension(n, n) :: A ! Symmetric matrix
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real(wp), dimension(n) :: w ! Eigenvalues
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real(wp), dimension(3*n) :: work ! Work array
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integer :: lwork = 3*n ! Size of work array
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integer, parameter :: lwork = 3*n ! Size of work array
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integer :: info ! Return status
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character :: jobz = 'N' ! Compute eigenvalues only
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character :: uplo = 'U' ! Upper triangular part of A
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character, parameter :: jobz = 'N' ! Compute eigenvalues only
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character, parameter :: uplo = 'U' ! Upper triangular part of A
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! Only run on the root process to avoid duplicate output
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if (proc_rank /= 0) return
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! Set up a simple symmetric 3x3 matrix
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A(1, :) = [4.0_wp, 1.0_wp, 1.0_wp]
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A(2, :) = [1.0_wp, 4.0_wp, 1.0_wp]
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A(3, :) = [1.0_wp, 1.0_wp, 4.0_wp]
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print *, "=== LAPACK Eigenvalue Example ==="
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print *, "Computing eigenvalues of symmetric matrix:"
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print *, "A = [4 1 1; 1 4 1; 1 1 4]"
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print *, ""
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! Call appropriate LAPACK routine based on precision
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#ifdef MFC_SINGLE_PRECISION
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call ssyev(jobz, uplo, n, A, n, w, work, lwork, info)
@@ -116,7 +116,7 @@ impure subroutine s_lapack_example_eigenvalues()
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call dsyev(jobz, uplo, n, A, n, w, work, lwork, info)
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print *, "Using double precision LAPACK (DSYEV)"
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#endif
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! Check for success
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if (info == 0) then
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print *, "Eigenvalues computed successfully!"
@@ -127,10 +127,10 @@ impure subroutine s_lapack_example_eigenvalues()
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else
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print *, "LAPACK error: algorithm failed to converge"
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end if
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print *, "=== End LAPACK Eigenvalue Example ==="
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print *, ""
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end subroutine s_lapack_example_eigenvalues
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end module m_lapack_example
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end module m_lapack_example

src/post_process/m_start_up.f90

Lines changed: 2 additions & 2 deletions
Original file line numberDiff line numberDiff line change
@@ -716,11 +716,11 @@ impure subroutine s_initialize_mpi_domain
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! leads to the termination of the post-process.
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if (proc_rank == 0) then
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call s_assign_default_values_to_user_inputs()
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! Run LAPACK examples before reading input file
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call s_lapack_example_solve_linear_system()
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call s_lapack_example_eigenvalues()
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call s_read_input_file()
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call s_check_input_file()
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