From af246bca404c1a34ac64428f0f8cf29d21dd0228 Mon Sep 17 00:00:00 2001 From: wdaniau Date: Fri, 2 Oct 2009 09:27:03 +0000 Subject: [PATCH] +) Sorting of eigenvalues/eigenvectors is now optional +) Documentation updated +) The test program test_matev has been updated to show the sort option git-svn-id: https://lxsd.femto-st.fr/svn/fvn@53 b657c933-2333-4658-acf2-d3c7c2708721 --- doc/fvn.pdf | 3742 ++++++++++++++++++++++----------------------- doc/fvn.tex | 3 +- fvn_linear/fvn_linear.f90 | 29 +- fvn_test/test_matev.f90 | 36 +- 4 files changed, 1898 insertions(+), 1912 deletions(-) diff --git a/doc/fvn.pdf b/doc/fvn.pdf index 7268574..46900b5 100644 --- a/doc/fvn.pdf +++ b/doc/fvn.pdf @@ -700,21 +700,16 @@ endobj << /S /GoTo /D [470 0 R /Fit ] >> endobj 508 0 obj << -/Length 1301 +/Length 1299 /Filter /FlateDecode >> stream -xZs6~_yB`&;`S -aL H5 -t}-"n7ӁOP<2InakXO>#$ˆm-9(wUI0FGu[H |sRlk(61V4\vLaC&D X)S:Ώz'h(33c90r@ѽ0i-`+r7D:0g2NΜ=L˭J -c|'q9Ѫya+}eJ[.bǎ"F4)-Gڻ ;]Qt+L$ /d%gÓfb2 +xZMs6Ẅ́ EGqyaO8]k-^0s Ы-`< 0OWmI,P0y>ׁIᰂ ichHMe?=i:K]B8bYK*:#&,FJНj{͐J퇮N[b1^&zWՁ:&*wfT27ZY.V೐@[yYj",`n$,z%1>Z@[QXKzY0=ڭ!Ǧ/tDa?S'Π33^ 9\oRZqwIu'i@5ȿT^hYrBѤSrkl@ATsp1v>] +әӜU-gHdrg +DM +>>Ea# +eVQ%1['K٬.{n^wf[|#*w@"y\1W]zO3HBY $8M4*KL5kOs5b-*D^Nz_b* mV:5B*7&y:*{kcѴٰ j#W/m3"Mwr 4YA.= +@?IZT=0eMRd)Y^xwdHvcSY;LU]ΒvSv-`-{]K,!$ lgy!bxz!qٻxvxUMgIwJoS6z_KRk4t|=CEښ3, ĺ%3*OunF֕-cp4˽7E[ yQgvzq^W&7*ܥ۳6kDiZ]0YccHgi! 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00000 n +0000287444 00000 n trailer << /Size 1049 /Root 1047 0 R /Info 1048 0 R -/ID [ ] >> +/ID [<64C7ED682C2886557EC7C1BDEBA687D5> <64C7ED682C2886557EC7C1BDEBA687D5>] >> startxref -288242 +287776 %%EOF diff --git a/doc/fvn.tex b/doc/fvn.tex index d1dd0f6..10f839f 100644 --- a/doc/fvn.tex +++ b/doc/fvn.tex @@ -209,7 +209,7 @@ end program \subsection{Eigenvalues/Eigenvectors} \begin{verbatim} Module : use fvn_linear -call fvn_matev(d,a,evala,eveca,status) +call fvn_matev(d,a,evala,eveca,status,sortval) \end{verbatim} \begin{itemize} \item d (in) is an integer equal to the matrix rank @@ -217,6 +217,7 @@ call fvn_matev(d,a,evala,eveca,status) \item evala (out) is a complex array of same kind as a. It contains the eigenvalues of matrix a \item eveca (out) is a complex matrix of same kind as a. Its columns are the eigenvectors of matrix a : eveca(:,j)=jth eigenvector associated with eigenvalue evala(j). \item status (out) is an optional integer equal to zero if something went wrong + \item sortval (in) is an optional logical, if it is true the eigenvalues (and eigenvectors) are sorted in decreasing order of eigenvalues's modulus. \end{itemize} diff --git a/fvn_linear/fvn_linear.f90 b/fvn_linear/fvn_linear.f90 index 31a6272..c2b8044 100644 --- a/fvn_linear/fvn_linear.f90 +++ b/fvn_linear/fvn_linear.f90 @@ -1086,7 +1086,7 @@ end do end subroutine -subroutine fvn_s_matev(d,a,evala,eveca,status) +subroutine fvn_s_matev(d,a,evala,eveca,status,sortval) ! ! integer d (in) : matrice rank ! real a(d,d) (in) : The Matrix @@ -1101,6 +1101,7 @@ subroutine fvn_s_matev(d,a,evala,eveca,status) complex, intent(out) :: evala(d) complex, intent(out) :: eveca(d,d) integer, intent(out), optional :: status + logical, intent(in), optional :: sortval real, allocatable :: wc_a(:,:) ! a working copy of a integer :: info @@ -1160,11 +1161,13 @@ subroutine fvn_s_matev(d,a,evala,eveca,status) deallocate(wc_a) ! sorting - call fvn_c_sort_eigen(d,evala,eveca) + if (present(sortval) .and. sortval) then + call fvn_c_sort_eigen(d,evala,eveca) + end if end subroutine -subroutine fvn_d_matev(d,a,evala,eveca,status) +subroutine fvn_d_matev(d,a,evala,eveca,status,sortval) ! ! integer d (in) : matrice rank ! double precision a(d,d) (in) : The Matrix @@ -1179,6 +1182,7 @@ subroutine fvn_d_matev(d,a,evala,eveca,status) double complex, intent(out) :: evala(d) double complex, intent(out) :: eveca(d,d) integer, intent(out), optional :: status + logical, intent(in), optional :: sortval double precision, allocatable :: wc_a(:,:) ! a working copy of a integer :: info @@ -1239,11 +1243,13 @@ subroutine fvn_d_matev(d,a,evala,eveca,status) deallocate(wc_a) ! sorting - call fvn_z_sort_eigen(d,evala,eveca) + if (present(sortval) .and. sortval) then + call fvn_z_sort_eigen(d,evala,eveca) + end if end subroutine -subroutine fvn_c_matev(d,a,evala,eveca,status) +subroutine fvn_c_matev(d,a,evala,eveca,status,sortval) ! ! integer d (in) : matrice rank ! complex a(d,d) (in) : The Matrix @@ -1258,6 +1264,7 @@ subroutine fvn_c_matev(d,a,evala,eveca,status) complex, intent(out) :: evala(d) complex, intent(out) :: eveca(d,d) integer, intent(out), optional :: status + logical, intent(in), optional :: sortval complex, allocatable :: wc_a(:,:) ! a working copy of a integer :: info @@ -1290,11 +1297,13 @@ subroutine fvn_c_matev(d,a,evala,eveca,status) deallocate(wc_a) ! sorting - call fvn_c_sort_eigen(d,evala,eveca) + if (present(sortval) .and. sortval) then + call fvn_c_sort_eigen(d,evala,eveca) + end if end subroutine -subroutine fvn_z_matev(d,a,evala,eveca,status) +subroutine fvn_z_matev(d,a,evala,eveca,status,sortval) ! ! integer d (in) : matrice rank ! double complex a(d,d) (in) : The Matrix @@ -1309,6 +1318,7 @@ subroutine fvn_z_matev(d,a,evala,eveca,status) double complex, intent(out) :: evala(d) double complex, intent(out) :: eveca(d,d) integer, intent(out), optional :: status + logical, intent(in), optional :: sortval double complex, allocatable :: wc_a(:,:) ! a working copy of a integer :: info @@ -1340,8 +1350,9 @@ subroutine fvn_z_matev(d,a,evala,eveca,status) deallocate(wc_a) ! sorting - call fvn_z_sort_eigen(d,evala,eveca) - + if (present(sortval) .and. sortval) then + call fvn_z_sort_eigen(d,evala,eveca) + end if end subroutine diff --git a/fvn_test/test_matev.f90 b/fvn_test/test_matev.f90 index b292314..70a6705 100644 --- a/fvn_test/test_matev.f90 +++ b/fvn_test/test_matev.f90 @@ -1,24 +1,44 @@ program test_matev use fvn_linear implicit none -real(8),dimension(3,3) :: a +complex(8),dimension(3,3) :: a +real(8),dimension(3,3) :: ra,ia complex(8),dimension(3) :: evala complex(8),dimension(3,3) :: eveca integer :: status,i,j + call init_random_seed() -call random_number(a) +call random_number(ra) +call random_number(ia) +a=ra+fvn_i*ia a=a*100 call fvn_matev(3,a,evala,eveca,status) write(*,*) "The matrix :" -write (*,'(3(e12.5))') a +write (*,'(3("(",e12.5,",",e12.5,")"))') a write (*,*) do i=1,3 -write(*,'("Eigenvalue ",I3," : (",e12.5,",",e12.5,") ")') i,evala(i) -write(*,*) "Associated Eigenvector :" -do j=1,3 -write(*,'("(",e12.5,",",e12.5,") ")') eveca(j,i) + write(*,'("Eigenvalue ",I3," : (",e12.5,",",e12.5,") ")') i,evala(i) + write(*,'("Modulus : ",e12.5)') abs(evala(i)) + write(*,*) "Associated Eigenvector :" + do j=1,3 + write(*,'("(",e12.5,",",e12.5,") ")') eveca(j,i) + end do + write(*,*) end do -write(*,*) + +! tri +write(*,*) "With sort option" +call fvn_matev(3,a,evala,eveca,status,.true.) +do i=1,3 + write(*,'("Eigenvalue ",I3," : (",e12.5,",",e12.5,") ")') i,evala(i) + write(*,'("Modulus : ",e12.5)') abs(evala(i)) + write(*,*) "Associated Eigenvector :" + do j=1,3 + write(*,'("(",e12.5,",",e12.5,") ")') eveca(j,i) + end do + write(*,*) end do + + end program \ No newline at end of file -- 2.16.4