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module foreig | ||
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use kinds | ||
use kinds | ||
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implicit none | ||
implicit none | ||
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private | ||
public :: eig | ||
private | ||
public :: eig | ||
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!=============================================================================== | ||
interface eig | ||
procedure :: eig_rel | ||
end interface | ||
!=============================================================================== | ||
interface eig | ||
procedure :: eig_rel | ||
end interface | ||
!=============================================================================== | ||
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contains | ||
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!=============================================================================== | ||
!> author: Seyed Ali Ghasemi | ||
pure subroutine eig_rel(matrix, eig_vec, eig_val, method) | ||
real(rk), dimension(:,:), intent(in) :: matrix | ||
character(*), intent(in), optional :: method | ||
real(rk), dimension(:,:), allocatable, intent(out) :: eig_vec | ||
real(rk), dimension(:), allocatable, intent(out) :: eig_val | ||
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if (.not. present(method)) then | ||
call dsyev_rel(matrix, eig_vec, eig_val) | ||
else | ||
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select case (method) | ||
case ('syev') | ||
call dsyev_rel(matrix, eig_vec, eig_val) | ||
end select | ||
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end if | ||
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end subroutine eig_rel | ||
!=============================================================================== | ||
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!=============================================================================== | ||
!> author: Seyed Ali Ghasemi | ||
pure subroutine dsyev_rel(matrix, eig_vec, eig_val) | ||
real(rk), dimension(:,:), intent(in) :: matrix | ||
real(rk), dimension(:,:), allocatable, intent(out) :: eig_vec | ||
real(rk), dimension(:), allocatable, intent(out) :: eig_val | ||
real(rk), dimension(:), allocatable :: work | ||
real(rk), dimension(size(matrix,1),size(matrix,1)) :: A | ||
integer :: i, lwork, m, info | ||
real(rk) :: work1(1) | ||
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interface | ||
pure subroutine dsyev(fjobz, fuplo, fn, fA, flda, fw, fwork, flwork, finfo) | ||
import rk | ||
character, intent(in) :: fjobz, fuplo | ||
integer, intent(in) :: fn | ||
integer, intent(in) :: flda | ||
integer, intent(in) :: flwork | ||
integer, intent(out) :: finfo | ||
real(rk), intent(inout) :: fA(flda,*) | ||
real(rk), intent(out) :: fw(*) | ||
real(rk), intent(out) :: fwork(*) | ||
end subroutine | ||
end interface | ||
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m = size(matrix,1) | ||
A = matrix | ||
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call dsyev('V', 'U', m, A, m, eig_val, work1, -1, info) | ||
lwork = nint(work1(1)) | ||
allocate(work(lwork)) | ||
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allocate(eig_vec(m,m), eig_val(m)) | ||
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call dsyev('V', 'U', m, A, m, eig_val, work, lwork, info) | ||
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eig_vec = A | ||
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deallocate(work) | ||
end subroutine dsyev_rel | ||
!=============================================================================== | ||
!=============================================================================== | ||
!> author: Seyed Ali Ghasemi | ||
pure subroutine eig_rel(matrix, eig_vecr, eig_val, eig_vecl, method) | ||
real(rk), dimension(:,:), intent(in) :: matrix | ||
character(*), intent(in), optional :: method | ||
real(rk), dimension(:,:), allocatable, intent(out) :: eig_vecr | ||
real(rk), dimension(:,:), allocatable, intent(out), optional :: eig_vecl | ||
real(rk), dimension(:), allocatable, intent(out) :: eig_val | ||
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if (.not. present(method)) then | ||
call dgeev_rel(matrix, eig_vecr, eig_val) | ||
else | ||
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select case (method) | ||
case ('syev') | ||
call dsyev_rel(matrix, eig_vecr, eig_val) | ||
case ('geev') | ||
call dgeev_rel(matrix, eig_vecr, eig_val, eig_vecl) | ||
end select | ||
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end if | ||
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end subroutine eig_rel | ||
!=============================================================================== | ||
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!=============================================================================== | ||
!> author: Seyed Ali Ghasemi | ||
pure subroutine dsyev_rel(matrix, eig_vecr, eig_val) | ||
real(rk), dimension(:,:), intent(in) :: matrix | ||
real(rk), dimension(:,:), allocatable, intent(out) :: eig_vecr | ||
real(rk), dimension(:), allocatable, intent(out) :: eig_val | ||
real(rk), dimension(:), allocatable :: work | ||
real(rk), dimension(size(matrix,1),size(matrix,1)) :: A | ||
integer :: lwork, m, info | ||
real(rk) :: work1(1) | ||
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interface | ||
pure subroutine dsyev(fjobz, fuplo, fn, fA, flda, fw, fwork, flwork, finfo) | ||
import rk | ||
character, intent(in) :: fjobz, fuplo | ||
integer, intent(in) :: fn | ||
integer, intent(in) :: flda | ||
integer, intent(in) :: flwork | ||
integer, intent(out) :: finfo | ||
real(rk), intent(inout) :: fA(flda,*) | ||
real(rk), intent(out) :: fw(*) | ||
real(rk), intent(out) :: fwork(*) | ||
end subroutine | ||
end interface | ||
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m = size(matrix,1) | ||
A = matrix | ||
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call dsyev('V', 'U', m, A, m, eig_val, work1, -1, info) | ||
lwork = nint(work1(1)) | ||
allocate(work(lwork)) | ||
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allocate(eig_vecr(m,m), eig_val(m)) | ||
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call dsyev('V', 'U', m, A, m, eig_val, work, lwork, info) | ||
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eig_vecr = A | ||
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deallocate(work) | ||
end subroutine dsyev_rel | ||
!=============================================================================== | ||
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!=============================================================================== | ||
!> author: Seyed Ali Ghasemi | ||
pure subroutine dgeev_rel(matrix, eig_vecr, eig_val, eig_vecl) | ||
real(rk), dimension(:,:), intent(in) :: matrix | ||
real(rk), dimension(:), allocatable, intent(out) :: eig_val | ||
real(rk), dimension(:,:), allocatable, intent(out) :: eig_vecr | ||
real(rk), dimension(:,:), allocatable, intent(out), optional :: eig_vecl | ||
real(rk), dimension(size(matrix,1)) :: wr, wi | ||
real(rk), dimension(size(matrix,1),size(matrix,1)) :: vl, vr | ||
real(rk), dimension(size(matrix,1),size(matrix,1)) :: A | ||
real(rk), dimension(:), allocatable :: work | ||
integer :: m, lwork, info | ||
real(rk) :: work1(1) | ||
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interface | ||
pure subroutine dgeev(fjobvl, fjobvr, fn, fA, flda, fwr, fwi, fvl, fldvl, fvr, fldvr, fwork, flwork, finfo) | ||
import :: rk | ||
character, intent(in) :: fjobvl, fjobvr | ||
integer, intent(in) :: fn, flda, fldvl, fldvr, flwork, finfo | ||
real(rk), intent(inout) :: fA(flda, *) | ||
real(rk), intent(out) :: fwr(fn), fwi(fn), fvl(fldvl, *), fvr(fldvr, *), fwork(flwork) | ||
end subroutine | ||
end interface | ||
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m = size(matrix, 1) | ||
A = matrix | ||
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call dgeev('V', 'V', m, A, m, wr, wi, vl, m, vr, m, work1, -1, info) | ||
lwork = nint(work1(1)) | ||
allocate(work(lwork)) | ||
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call dgeev('V', 'V', m, A, m, wr, wi, vl, m, vr, m, work, lwork, info) | ||
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eig_val = wr | ||
eig_vecr = vr | ||
if (present(eig_vecl)) eig_vecl = vl | ||
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deallocate(work) | ||
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end subroutine dgeev_rel | ||
!=============================================================================== | ||
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end module foreig |