10 Commits
Author SHA1 Message Date
Sylvestre Ledru 9e7ceb7480 prepare version 3.6.3 2018-09-19 10:00:36 +02:00
Sylvestre Ledru e7ad0850a1 remove a trailing whitespace 2018-09-19 09:59:31 +02:00
Franck HOUSSEN ee9a93a853 Update CHANGES. (#156) 2018-09-16 16:05:43 +02:00
Franck HOUSSEN 2d969e902d [CLEAN] Run MPI tests with "mpirun -n 2". (#152) 2018-09-15 17:46:24 +02:00
Franck HOUSSEN 5872987e67 [BUG FIX] howmny is defined as character*1 in pdseupd subroutine. (#153)
Cosmetic bug ("safer" way to get same thing).
2018-09-15 17:38:27 +02:00
Franck HOUSSEN bbb87ba0ff Fix issue 144. Add -fdefault-integer-8/-i8 in FCFLAGS. (#147) 2018-09-15 17:36:42 +02:00
Franck HOUSSEN 78d781286a stat: initialize common block. (#148)
* stat: initialize common block.

* Move debug_init.f90/stat_init.f90 to dbgini.f/staini.f.

In cases where one has 2 fortran compilers (F77+F90), the reference code
base and (missing) related common initialisations will be compiled
consistently by the same (F77) compiler. F90 will handle ICB (f2003-f2008)
that could not be compiled by F77.

Note: in F77, code starts at col 7, continuation line with & at col 6,
length line is limited, names must be smaller than 7 chars (no underscore).

* [BUG FIX] compile dbgini.f staini.f with AND without ICB.
2018-09-15 17:35:57 +02:00
Franck HOUSSEN 3829c449c0 Add missing test binaries in gitignore. (#151) 2018-09-15 17:35:12 +02:00
Franck HOUSSEN b7ce7debe5 [BUG FIX] When using *zneupd, sigma is complex. (#154)
Cosmetic bug ("better" way to get same thing - without this, sigma which
is used as an input, is implicitely converted from real to complex. Same
thing for the callee, but more "logical" for the caller).
2018-09-15 17:31:35 +02:00
caliarim 31854cadaf Give up forcing the initial residual to be in the range of the operator OP after a restart (Closes: #142). (#143) 2018-08-07 19:00:50 +02:00
22 changed files with 954 additions and 57 deletions
+2
View File
@@ -40,6 +40,8 @@ TESTS/bug_58_double
TESTS/bug_79_double_complex
TESTS/icb_arpack_c
TESTS/icb_arpack_cpp
TESTS/bug_142
TESTS/bug_142_gen
EXAMPLES/BAND/[sd][sn]bdr[123456]
EXAMPLES/BAND/[cz]nbdr[1234]
EXAMPLES/COMPLEX/[cz]ndrv[1234]
+11 -1
View File
@@ -1,3 +1,13 @@
arpack-ng - 3.6.3
[ Franck Houssen ]
* Add Fortran common initialization (block data).
[ Marco Caliari ]
* Give up forcing the initial residual to be in the range of the operator OP after a restart (Closes: #142).
-- Sylvestre Ledru <sylvestre@debian.org> Wed, 19 Sep 2018 09:59:59 +0200
arpack-ng - 3.6.2
* Remove all trailing whitespaces
@@ -6,7 +16,7 @@ arpack-ng - 3.6.2
* Install: move headers into a dedicated directory (local/include/arpack).
(Closes #126)
* Add configuration summary.
* Improve the flag detection. Hopefully fix the ppc64el and other archs
* Improve the flag detection. Hopefully fix the ppc64el and other archs
issues in Debian
-- Sylvestre Ledru <sylvestre@debian.org> Sat, 23 Jun 2018 14:56:54 +0200
+12 -4
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@@ -174,13 +174,13 @@ endif()
# file(GLOB arpacklapack_STAT_SRCS lapack/*.f)
#endif()
#file(GLOB arpackutil_STAT_SRCS util/*.f)
file(GLOB arpacksrc_STAT_SRCS ${arpack_SOURCE_DIR}/SRC/*.f)
file(GLOB arpacksrc_STAT_SRCS dbgini.f staini.f ${arpack_SOURCE_DIR}/SRC/*.f)
set(arpacksrc_ICB "")
set(parpacksrc_ICB "")
if(ICB)
file(GLOB arpacksrc_ICB SRC/icba*.f90 debug_init.f90 debug_icb.f90 stat_icb.f90)
file(GLOB parpacksrc_ICB PARPACK/SRC/MPI/icbp*.f90 debug_init.f90 debug_icb.f90 stat_icb.f90)
file(GLOB arpacksrc_ICB SRC/icba*.f90 debug_icb.f90 stat_icb.f90)
file(GLOB parpacksrc_ICB PARPACK/SRC/MPI/icbp*.f90 debug_icb.f90 stat_icb.f90)
endif()
set(arpackutil_STAT_SRCS
@@ -202,7 +202,7 @@ set(arpackutil_STAT_SRCS
if (MPI)
file(GLOB parpackutil_STAT_SRCS PARPACK/UTIL/MPI/*.f)
file(GLOB parpacksrc_STAT_SRCS PARPACK/SRC/MPI/*.f)
file(GLOB parpacksrc_STAT_SRCS dbgini.f staini.f PARPACK/SRC/MPI/*.f)
endif()
# use -DBUILD_SHARED_LIBS=ON|OFF to control static/shared
@@ -483,6 +483,14 @@ add_executable(bug_79_double_complex TESTS/bug_79_double_complex.f)
target_link_libraries(bug_79_double_complex arpack ${BLAS_LIBRARIES} ${LAPACK_LIBRARIES} ${EXTRA_LDLAGS})
add_test(bug_79_double_complex_tst Tests/bug_79_double_complex)
add_executable(bug_142 TESTS/bug_142.f)
target_link_libraries(bug_142 arpack ${BLAS_LIBRARIES} ${LAPACK_LIBRARIES} ${EXTRA_LDLAGS})
add_test(bug_142_tst Tests/bug_142)
add_executable(bug_142_gen TESTS/bug_142_gen.f)
target_link_libraries(bug_142_gen arpack ${BLAS_LIBRARIES} ${LAPACK_LIBRARIES} ${EXTRA_LDLAGS})
add_test(bug_142_gen_tst Tests/bug_142_gen)
if(MPI)
add_executable(issue46 PARPACK/TESTS/MPI/issue46.f)
target_link_libraries(issue46 parpack arpack ${BLAS_LIBRARIES} ${LAPACK_LIBRARIES} ${EXTRA_LDLAGS})
+6 -2
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@@ -9,8 +9,12 @@ CNDRV = pcndrv1
ZNDRV = pzndrv1
check_PROGRAMS = $(SNDRV) $(DNDRV) $(SSDRV) $(DSDRV) $(CNDRV) $(ZNDRV)
# Disable tests for now. Needs to be run using mpirun
#TESTS = $(check_PROGRAMS)
# Run MPI tests with "mpirun -n 2"
LOG_COMPILER = mpirun
LOG_FLAGS = -n 2
TESTS = $(check_PROGRAMS)
EXTRA_DIST = debug.h stat.h
+3 -2
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@@ -1,4 +1,4 @@
AUTOMAKE_OPTIONS = subdir-objects # Needed as debug_init/icb.f90 are not in current directory.
AUTOMAKE_OPTIONS = subdir-objects # Needed as debug/stat* are not in current directory.
F77 = $(MPIF77)
FFLAGS_SAV = @FFLAGS@
@@ -34,7 +34,8 @@ libparpack@LIBSUFFIX@_noopt_la_FFLAGS = -O0
lib_LTLIBRARIES = libparpack@LIBSUFFIX@.la
libparpack@LIBSUFFIX@_la_SOURCES = $(PSRC) $(SSRC) $(DSRC) $(CSRC) $(ZSRC)
libparpack@LIBSUFFIX@_la_SOURCES += $(top_builddir)/debug_init.f90
libparpack@LIBSUFFIX@_la_SOURCES += $(top_builddir)/dbgini.f
libparpack@LIBSUFFIX@_la_SOURCES += $(top_builddir)/staini.f
if ICB
libparpack@LIBSUFFIX@_la_SOURCES += $(top_builddir)/debug_icb.f90
libparpack@LIBSUFFIX@_la_SOURCES += $(top_builddir)/stat_icb.f90
+1 -1
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@@ -120,7 +120,7 @@ int zn() {
int select[ncv];
double _Complex z[(N+1)*(nev+1)];
BLASINT ldz = N+1;
double sigma=0;
double _Complex sigma=0. + I*0.;
int k;
for (k=0; k < 3*N; ++k )
workd[k] = 0. + I * 0.;
+1 -1
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@@ -113,7 +113,7 @@ void complex_symmetric_runner() {
float tol = 0.0f;
bool rvec = true;
float sigma = 0.0f;
std::complex<float> sigma(0.0f, 0.0f);
std::vector<std::complex<float>> resid(N);
std::vector<std::complex<float>> V(ncv * N);
+1 -1
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@@ -255,7 +255,7 @@ c %-------------------------------------------%
c
rvec = .true.
c
call pdseupd ( comm, rvec, 'All', select,
call pdseupd ( comm, rvec, 'A', select,
& d, v, ldv, sigma,
& bmat, nloc, which, nev, tol, resid, ncv, v, ldv,
& iparam, ipntr, workd, workl, lworkl, ierr )
+3 -2
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@@ -1,4 +1,4 @@
AUTOMAKE_OPTIONS = subdir-objects # Needed as debug_init/icb.f90 are not in current directory.
AUTOMAKE_OPTIONS = subdir-objects # Needed as debug/stat* are not in current directory.
SSRC = snaitr.f snapps.f snaup2.f snaupd.f snconv.f sneigh.f sneupd.f sngets.f sstatn.f \
ssaitr.f ssapps.f ssaup2.f ssaupd.f ssconv.f sseigt.f sseupd.f ssgets.f sstats.f \
@@ -25,7 +25,8 @@ EXTRA_DIST = debug.h stat.h version.h
lib_LTLIBRARIES = libarpack@LIBSUFFIX@.la
libarpack@LIBSUFFIX@_la_SOURCES = $(SSRC) $(DSRC) $(CSRC) $(ZSRC)
libarpack@LIBSUFFIX@_la_SOURCES += $(top_builddir)/debug_init.f90
libarpack@LIBSUFFIX@_la_SOURCES += $(top_builddir)/dbgini.f
libarpack@LIBSUFFIX@_la_SOURCES += $(top_builddir)/staini.f
if ICB
libarpack@LIBSUFFIX@_la_SOURCES += $(top_builddir)/debug_icb.f90
libarpack@LIBSUFFIX@_la_SOURCES += $(top_builddir)/stat_icb.f90
+11 -7
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@@ -239,12 +239,16 @@ c | the generalized problem when B is possibly (singular). |
c %----------------------------------------------------------%
c
call arscnd (t2)
nopx = nopx + 1
ipntr(1) = 1
ipntr(2) = n + 1
call ccopy (n, resid, 1, workd, 1)
ido = -1
go to 9000
if (itry .eq. 1) then
nopx = nopx + 1
ipntr(1) = 1
ipntr(2) = n + 1
call ccopy (n, resid, 1, workd, 1)
ido = -1
go to 9000
else if (itry .gt. 1 .and. bmat .eq. 'G') then
call ccopy (n, resid, 1, workd(n + 1), 1)
end if
end if
c
c %----------------------------------------%
@@ -269,7 +273,7 @@ c %------------------------------------------------------%
c
call arscnd (t2)
first = .TRUE.
call ccopy (n, workd(n+1), 1, resid, 1)
if (itry .eq. 1) call ccopy (n, workd(n + 1), 1, resid, 1)
if (bmat .eq. 'G') then
nbx = nbx + 1
ipntr(1) = n + 1
+11 -7
View File
@@ -242,12 +242,16 @@ c | the generalized problem when B is possibly (singular). |
c %----------------------------------------------------------%
c
call arscnd (t2)
nopx = nopx + 1
ipntr(1) = 1
ipntr(2) = n + 1
call dcopy (n, resid, 1, workd, 1)
ido = -1
go to 9000
if (itry .eq. 1) then
nopx = nopx + 1
ipntr(1) = 1
ipntr(2) = n + 1
call dcopy (n, resid, 1, workd, 1)
ido = -1
go to 9000
else if (itry .gt. 1 .and. bmat .eq. 'G') then
call dcopy (n, resid, 1, workd(n + 1), 1)
end if
end if
c
c %-----------------------------------------%
@@ -274,7 +278,7 @@ c %------------------------------------------------------%
c
call arscnd (t2)
first = .TRUE.
call dcopy (n, workd(n+1), 1, resid, 1)
if (itry .eq. 1) call dcopy (n, workd(n + 1), 1, resid, 1)
if (bmat .eq. 'G') then
nbx = nbx + 1
ipntr(1) = n + 1
+11 -7
View File
@@ -242,12 +242,16 @@ c | the generalized problem when B is possibly (singular). |
c %----------------------------------------------------------%
c
call arscnd (t2)
nopx = nopx + 1
ipntr(1) = 1
ipntr(2) = n + 1
call scopy (n, resid, 1, workd, 1)
ido = -1
go to 9000
if (itry .eq. 1) then
nopx = nopx + 1
ipntr(1) = 1
ipntr(2) = n + 1
call scopy (n, resid, 1, workd, 1)
ido = -1
go to 9000
else if (itry .gt. 1 .and. bmat .eq. 'G') then
call scopy (n, resid, 1, workd(n + 1), 1)
end if
end if
c
c %-----------------------------------------%
@@ -274,7 +278,7 @@ c %------------------------------------------------------%
c
call arscnd (t2)
first = .TRUE.
call scopy (n, workd(n+1), 1, resid, 1)
if (itry .eq. 1) call scopy (n, workd(n + 1), 1, resid, 1)
if (bmat .eq. 'G') then
nbx = nbx + 1
ipntr(1) = n + 1
+11 -7
View File
@@ -239,12 +239,16 @@ c | the generalized problem when B is possibly (singular). |
c %----------------------------------------------------------%
c
call arscnd (t2)
nopx = nopx + 1
ipntr(1) = 1
ipntr(2) = n + 1
call zcopy (n, resid, 1, workd, 1)
ido = -1
go to 9000
if (itry .eq. 1) then
nopx = nopx + 1
ipntr(1) = 1
ipntr(2) = n + 1
call zcopy (n, resid, 1, workd, 1)
ido = -1
go to 9000
else if (itry .gt. 1 .and. bmat .eq. 'G') then
call zcopy (n, resid, 1, workd(n + 1), 1)
end if
end if
c
c %----------------------------------------%
@@ -269,7 +273,7 @@ c %------------------------------------------------------%
c
call arscnd (t2)
first = .TRUE.
call zcopy (n, workd(n+1), 1, resid, 1)
if (itry .eq. 1) call zcopy (n, workd(n + 1), 1, resid, 1)
if (bmat .eq. 'G') then
nbx = nbx + 1
ipntr(1) = n + 1
+5 -1
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@@ -1,6 +1,6 @@
LDADD=$(top_builddir)/SRC/libarpack$(LIBSUFFIX).la $(LAPACK_LIBS) $(BLAS_LIBS)
check_PROGRAMS = dnsimp bug_1323 bug_58_double bug_79_double_complex
check_PROGRAMS = dnsimp bug_1323 bug_58_double bug_79_double_complex bug_142 bug_142_gen
if ICB
check_PROGRAMS += icb_arpack_c
check_PROGRAMS += icb_arpack_cpp
@@ -21,6 +21,10 @@ bug_58_double_SOURCES = bug_58_double.f
bug_79_double_complex_SOURCES = bug_79_double_complex.f
bug_142_SOURCES = bug_142.f
bug_142_gen_SOURCES = bug_142_gen.f
if ICB
icb_arpack_c_SOURCES = icb_arpack_c.c
icb_arpack_c_LDADD = $(top_builddir)/SRC/libarpack$(LIBSUFFIX).la
+414
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@@ -0,0 +1,414 @@
program bug_142
c
c Avoid taking the initial vector in the range of OP after a restart
c (standard case)
c
c Example program to illustrate the idea of reverse communication
c for a standard nonsymmetric eigenvalue problem.
c
c We implement example one of ex-nonsym.doc in DOCUMENTS directory
c
c\Example-1
c ... Suppose we want to solve A*x = lambda*x in regular mode,
c where A is obtained from the standard central difference
c discretization of the convection-diffusion operator
c (Laplacian u) + rho*(du / dx)
c on the unit square [0,1]x[0,1] with zero Dirichlet boundary
c condition.
c
c ... OP = A and B = I.
c
c ... Assume "call av (nx,x,y)" computes y = A*x.c
c
c ... Use mode 1 of DNAUPD.
c
c\BeginLib
c
c\Routines called:
c dnaupd ARPACK reverse communication interface routine.
c dneupd ARPACK routine that returns Ritz values and (optionally)
c Ritz vectors.
c dlapy2 LAPACK routine to compute sqrt(x**2+y**2) carefully.
c daxpy Level 1 BLAS that computes y <- alpha*x+y.
c dnrm2 Level 1 BLAS that computes the norm of a vector.
c av Matrix vector multiplication routine that computes A*x.
c tv Matrix vector multiplication routine that computes T*x,
c where T is a tridiagonal matrix. It is used in routine
c av.
c
c\Author
c Richard Lehoucq
c Danny Sorensen
c Chao Yang
c Dept. of Computational &
c Applied Mathematics
c Rice University
c Houston, Texas
c
c\SCCS Information: @(#)
c FILE: ndrv1.F SID: 2.5 DATE OF SID: 10/17/00 RELEASE: 2
c
c\Remarks
c 1. None
c
c\EndLib
c---------------------------------------------------------------------------
c
c %-----------------------------%
c | Define maximum dimensions |
c | for all arrays. |
c | MAXN: Maximum dimension |
c | of the A allowed. |
c | MAXNEV: Maximum NEV allowed |
c | MAXNCV: Maximum NCV allowed |
c %-----------------------------%
c
integer maxn, maxnev, maxncv, ldv
parameter (maxn=256, maxnev=12, maxncv=30, ldv=maxn)
c
c %--------------%
c | Local Arrays |
c %--------------%
c
integer iparam(11), ipntr(14)
logical select(maxncv)
Double precision
& ax(maxn), d(maxncv,3), resid(maxn),
& v(ldv,maxncv), workd(3*maxn),
& workev(3*maxncv),
& workl(3*maxncv*maxncv+6*maxncv), a(maxn, maxn)
c
c %---------------%
c | Local Scalars |
c %---------------%
c
character bmat*1, which*2
integer ido, n, nx, nev, ncv, lworkl, info, j,
& ierr, nconv, maxitr, ishfts, mode
Double precision
& tol, sigmar, sigmai
logical first, rvec
c
c %------------%
c | Parameters |
c %------------%
c
Double precision
& zero
parameter (zero = 0.0D+0)
c
c %-----------------------------%
c | BLAS & LAPACK routines used |
c %-----------------------------%
c
Double precision
& dlapy2, dnrm2
external dlapy2, dnrm2, daxpy
c
c %--------------------%
c | Intrinsic function |
c %--------------------%
c
intrinsic abs
c
c %-----------------------%
c | Executable Statements |
c %-----------------------%
c
c %--------------------------------------------------%
c | The number NX is the number of interior points |
c | in the discretization of the 2-dimensional |
c | convection-diffusion operator on the unit |
c | square with zero Dirichlet boundary condition. |
c | The number N(=NX*NX) is the dimension of the |
c | matrix. A standard eigenvalue problem is |
c | solved (BMAT = 'I'). NEV is the number of |
c | eigenvalues to be approximated. The user can |
c | modify NX, NEV, NCV, WHICH to solve problems of |
c | different sizes, and to get different parts of |
c | the spectrum. However, The following |
c | conditions must be satisfied: |
c | N <= MAXN |
c | NEV <= MAXNEV |
c | NEV + 2 <= NCV <= MAXNCV |
c %--------------------------------------------------%
c
nx = 10
n = 11
nev = 1
ncv = 11
do i = 1,n
do j = 1,n
a(i,j) = 0.15d0/11
end do
end do
do j = 2,n
a(1,j) = a(1,j) + 0.85d0
end do
do i = 2,n
a(i,1) = (1-a(1,1))/10
end do
if ( n .gt. maxn ) then
print *, ' ERROR with _NDRV1: N is greater than MAXN '
go to 9000
else if ( nev .gt. maxnev ) then
print *, ' ERROR with _NDRV1: NEV is greater than MAXNEV '
go to 9000
else if ( ncv .gt. maxncv ) then
print *, ' ERROR with _NDRV1: NCV is greater than MAXNCV '
go to 9000
end if
bmat = 'I'
which = 'LM'
c
c %-----------------------------------------------------%
c | The work array WORKL is used in DNAUPD as |
c | workspace. Its dimension LWORKL is set as |
c | illustrated below. The parameter TOL determines |
c | the stopping criterion. If TOL<=0, machine |
c | precision is used. The variable IDO is used for |
c | reverse communication, and is initially set to 0. |
c | Setting INFO=0 indicates that a random vector is |
c | generated in DNAUPD to start the Arnoldi iteration. |
c %-----------------------------------------------------%
c
lworkl = 3*ncv**2+6*ncv
tol = zero
ido = 0
info = 0
c
c %---------------------------------------------------%
c | This program uses exact shifts with respect to |
c | the current Hessenberg matrix (IPARAM(1) = 1). |
c | IPARAM(3) specifies the maximum number of Arnoldi |
c | iterations allowed. Mode 1 of DNAUPD is used |
c | (IPARAM(7) = 1). All these options can be changed |
c | by the user. For details see the documentation in |
c | DNAUPD. |
c %---------------------------------------------------%
c
ishfts = 1
maxitr = 300
mode = 1
c
iparam(1) = ishfts
iparam(3) = maxitr
iparam(7) = mode
c
c %-------------------------------------------%
c | M A I N L O O P (Reverse communication) |
c %-------------------------------------------%
c
10 continue
c
c %---------------------------------------------%
c | Repeatedly call the routine DNAUPD and take |
c | actions indicated by parameter IDO until |
c | either convergence is indicated or maxitr |
c | has been exceeded. |
c %---------------------------------------------%
c
call dnaupd ( ido, bmat, n, which, nev, tol, resid,
& ncv, v, ldv, iparam, ipntr, workd, workl, lworkl,
& info )
c
if (ido .eq. -1 .or. ido .eq. 1) then
c
c %-------------------------------------------%
c | Perform matrix vector multiplication |
c | y <--- OP*x |
c | The user should supply his/her own |
c | matrix vector multiplication routine here |
c | that takes workd(ipntr(1)) as the input |
c | vector, and return the matrix vector |
c | product to workd(ipntr(2)). |
c %-------------------------------------------%
c
call dgemv('N',n,n,1.0d0,a,maxn,
& workd(ipntr(1)),1,0.0d0,workd(ipntr(2)),1)
c
c %-----------------------------------------%
c | L O O P B A C K to call DNAUPD again. |
c %-----------------------------------------%
c
go to 10
c
else if (ido .eq. 2) then
call dcopy (n, workd(ipntr(1)), 1, workd(ipntr(2)), 1)
go to 10
end if
c
c %----------------------------------------%
c | Either we have convergence or there is |
c | an error. |
c %----------------------------------------%
c
if ( info .lt. 0 ) then
c
c %--------------------------%
c | Error message, check the |
c | documentation in DNAUPD. |
c %--------------------------%
c
print *, ' '
print *, ' Error with _naupd, info = ', info
print *, ' Check the documentation of _naupd'
print *, ' '
stop 1
c
else
c
c %-------------------------------------------%
c | No fatal errors occurred. |
c | Post-Process using DNEUPD. |
c | |
c | Computed eigenvalues may be extracted. |
c | |
c | Eigenvectors may also be computed now if |
c | desired. (indicated by rvec = .true.) |
c %-------------------------------------------%
c
rvec = .true.
c
call dneupd ( rvec, 'A', select, d, d(1,2), v, ldv,
& sigmar, sigmai, workev, bmat, n, which, nev, tol,
& resid, ncv, v, ldv, iparam, ipntr, workd, workl,
& lworkl, ierr )
c
c %-----------------------------------------------%
c | The real part of the eigenvalue is returned |
c | in the first column of the two dimensional |
c | array D, and the imaginary part is returned |
c | in the second column of D. The corresponding |
c | eigenvectors are returned in the first NEV |
c | columns of the two dimensional array V if |
c | requested. Otherwise, an orthogonal basis |
c | for the invariant subspace corresponding to |
c | the eigenvalues in D is returned in V. |
c %-----------------------------------------------%
c
if ( ierr .ne. 0) then
c
c %------------------------------------%
c | Error condition: |
c | Check the documentation of DNEUPD. |
c %------------------------------------%
c
print *, ' '
print *, ' Error with _neupd, info = ', ierr
print *, ' Check the documentation of _neupd. '
print *, ' '
c
else
c
first = .true.
nconv = iparam(5)
do 20 j=1, nconv
c
c %---------------------------%
c | Compute the residual norm |
c | |
c | || A*x - lambda*x || |
c | |
c | for the NCONV accurately |
c | computed eigenvalues and |
c | eigenvectors. (iparam(5) |
c | indicates how many are |
c | accurate to the requested |
c | tolerance) |
c %---------------------------%
c
if (d(j,2) .eq. zero) then
c
c %--------------------%
c | Ritz value is real |
c %--------------------%
c
call dgemv('N',n,n,1.0d0,a,maxn,
& v(1,j),1,0.0d0,ax,1)
call daxpy(n, -d(j,1), v(1,j), 1, ax, 1)
d(j,3) = dnrm2(n, ax, 1)
d(j,3) = d(j,3) / abs(d(j,1))
c
else if (first) then
c
c %------------------------%
c | Ritz value is complex. |
c | Residual of one Ritz |
c | value of the conjugate |
c | pair is computed. |
c %------------------------%
c
call dgemv('N',n,n,1.0d0,a,maxn,
& v(1,j),1,0.0d0,ax,1)
call daxpy(n, -d(j,1), v(1,j), 1, ax, 1)
call daxpy(n, d(j,2), v(1,j+1), 1, ax, 1)
d(j,3) = dnrm2(n, ax, 1)
call dgemv('N',n,n,1.0d0,a,maxn,
& v(1,j+1),1,0.0d0,ax,1)
call daxpy(n, -d(j,2), v(1,j), 1, ax, 1)
call daxpy(n, -d(j,1), v(1,j+1), 1, ax, 1)
d(j,3) = dlapy2( d(j,3), dnrm2(n, ax, 1) )
d(j,3) = d(j,3) / dlapy2(d(j,1),d(j,2))
d(j+1,3) = d(j,3)
first = .false.
else
first = .true.
end if
c
20 continue
c
c %-----------------------------%
c | Display computed residuals. |
c %-----------------------------%
c
call dmout(6, nconv, 3, d, maxncv, -6,
& 'Ritz values (Real,Imag) and relative residuals')
end if
c
c %-------------------------------------------%
c | Print additional convergence information. |
c %-------------------------------------------%
c
if ( info .eq. 1) then
print *, ' '
print *, ' Maximum number of iterations reached.'
print *, ' '
else if ( info .eq. 3) then
print *, ' '
print *, ' No shifts could be applied during implicit',
& ' Arnoldi update, try increasing NCV.'
print *, ' '
end if
c
print *, ' '
print *, ' _NDRV1 '
print *, ' ====== '
print *, ' '
print *, ' Size of the matrix is ', n
print *, ' The number of Ritz values requested is ', nev
print *, ' The number of Arnoldi vectors generated',
& ' (NCV) is ', ncv
print *, ' What portion of the spectrum: ', which
print *, ' The number of converged Ritz values is ',
& nconv
print *, ' The number of Implicit Arnoldi update',
& ' iterations taken is ', iparam(3)
print *, ' The number of OP*x is ', iparam(9)
print *, ' The convergence criterion is ', tol
print *, ' '
c
end if
c
c %---------------------------%
c | Done with program dndrv1. |
c %---------------------------%
c
9000 continue
c
end
c
+414
View File
@@ -0,0 +1,414 @@
program bug_142_gen
c
c Avoid taking the initial vector in the range of OP after a restart
c (generalized case)
c
c Example program to illustrate the idea of reverse communication
c for a standard nonsymmetric eigenvalue problem.
c
c We implement example one of ex-nonsym.doc in DOCUMENTS directory
c
c\Example-1
c ... Suppose we want to solve A*x = lambda*x in regular mode,
c where A is obtained from the standard central difference
c discretization of the convection-diffusion operator
c (Laplacian u) + rho*(du / dx)
c on the unit square [0,1]x[0,1] with zero Dirichlet boundary
c condition.
c
c ... OP = A and B = I.
c
c ... Assume "call av (nx,x,y)" computes y = A*x.c
c
c ... Use mode 1 of DNAUPD.
c
c\BeginLib
c
c\Routines called:
c dnaupd ARPACK reverse communication interface routine.
c dneupd ARPACK routine that returns Ritz values and (optionally)
c Ritz vectors.
c dlapy2 LAPACK routine to compute sqrt(x**2+y**2) carefully.
c daxpy Level 1 BLAS that computes y <- alpha*x+y.
c dnrm2 Level 1 BLAS that computes the norm of a vector.
c av Matrix vector multiplication routine that computes A*x.
c tv Matrix vector multiplication routine that computes T*x,
c where T is a tridiagonal matrix. It is used in routine
c av.
c
c\Author
c Richard Lehoucq
c Danny Sorensen
c Chao Yang
c Dept. of Computational &
c Applied Mathematics
c Rice University
c Houston, Texas
c
c\SCCS Information: @(#)
c FILE: ndrv1.F SID: 2.5 DATE OF SID: 10/17/00 RELEASE: 2
c
c\Remarks
c 1. None
c
c\EndLib
c---------------------------------------------------------------------------
c
c %-----------------------------%
c | Define maximum dimensions |
c | for all arrays. |
c | MAXN: Maximum dimension |
c | of the A allowed. |
c | MAXNEV: Maximum NEV allowed |
c | MAXNCV: Maximum NCV allowed |
c %-----------------------------%
c
integer maxn, maxnev, maxncv, ldv
parameter (maxn=256, maxnev=12, maxncv=30, ldv=maxn)
c
c %--------------%
c | Local Arrays |
c %--------------%
c
integer iparam(11), ipntr(14)
logical select(maxncv)
Double precision
& ax(maxn), d(maxncv,3), resid(maxn),
& v(ldv,maxncv), workd(3*maxn),
& workev(3*maxncv),
& workl(3*maxncv*maxncv+6*maxncv), a(maxn, maxn)
c
c %---------------%
c | Local Scalars |
c %---------------%
c
character bmat*1, which*2
integer ido, n, nx, nev, ncv, lworkl, info, j,
& ierr, nconv, maxitr, ishfts, mode
Double precision
& tol, sigmar, sigmai
logical first, rvec
c
c %------------%
c | Parameters |
c %------------%
c
Double precision
& zero
parameter (zero = 0.0D+0)
c
c %-----------------------------%
c | BLAS & LAPACK routines used |
c %-----------------------------%
c
Double precision
& dlapy2, dnrm2
external dlapy2, dnrm2, daxpy
c
c %--------------------%
c | Intrinsic function |
c %--------------------%
c
intrinsic abs
c
c %-----------------------%
c | Executable Statements |
c %-----------------------%
c
c %--------------------------------------------------%
c | The number NX is the number of interior points |
c | in the discretization of the 2-dimensional |
c | convection-diffusion operator on the unit |
c | square with zero Dirichlet boundary condition. |
c | The number N(=NX*NX) is the dimension of the |
c | matrix. A standard eigenvalue problem is |
c | solved (BMAT = 'I'). NEV is the number of |
c | eigenvalues to be approximated. The user can |
c | modify NX, NEV, NCV, WHICH to solve problems of |
c | different sizes, and to get different parts of |
c | the spectrum. However, The following |
c | conditions must be satisfied: |
c | N <= MAXN |
c | NEV <= MAXNEV |
c | NEV + 2 <= NCV <= MAXNCV |
c %--------------------------------------------------%
c
nx = 10
n = 11
nev = 1
ncv = 11
do i = 1,n
do j = 1,n
a(i,j) = 0.15d0/11
end do
end do
do j = 2,n
a(1,j) = a(1,j) + 0.85d0
end do
do i = 2,n
a(i,1) = (1-a(1,1))/10
end do
if ( n .gt. maxn ) then
print *, ' ERROR with _NDRV1: N is greater than MAXN '
go to 9000
else if ( nev .gt. maxnev ) then
print *, ' ERROR with _NDRV1: NEV is greater than MAXNEV '
go to 9000
else if ( ncv .gt. maxncv ) then
print *, ' ERROR with _NDRV1: NCV is greater than MAXNCV '
go to 9000
end if
bmat = 'G'
which = 'LM'
c
c %-----------------------------------------------------%
c | The work array WORKL is used in DNAUPD as |
c | workspace. Its dimension LWORKL is set as |
c | illustrated below. The parameter TOL determines |
c | the stopping criterion. If TOL<=0, machine |
c | precision is used. The variable IDO is used for |
c | reverse communication, and is initially set to 0. |
c | Setting INFO=0 indicates that a random vector is |
c | generated in DNAUPD to start the Arnoldi iteration. |
c %-----------------------------------------------------%
c
lworkl = 3*ncv**2+6*ncv
tol = zero
ido = 0
info = 0
c
c %---------------------------------------------------%
c | This program uses exact shifts with respect to |
c | the current Hessenberg matrix (IPARAM(1) = 1). |
c | IPARAM(3) specifies the maximum number of Arnoldi |
c | iterations allowed. Mode 1 of DNAUPD is used |
c | (IPARAM(7) = 1). All these options can be changed |
c | by the user. For details see the documentation in |
c | DNAUPD. |
c %---------------------------------------------------%
c
ishfts = 1
maxitr = 300
mode = 2
c
iparam(1) = ishfts
iparam(3) = maxitr
iparam(7) = mode
c
c %-------------------------------------------%
c | M A I N L O O P (Reverse communication) |
c %-------------------------------------------%
c
10 continue
c
c %---------------------------------------------%
c | Repeatedly call the routine DNAUPD and take |
c | actions indicated by parameter IDO until |
c | either convergence is indicated or maxitr |
c | has been exceeded. |
c %---------------------------------------------%
c
call dnaupd ( ido, bmat, n, which, nev, tol, resid,
& ncv, v, ldv, iparam, ipntr, workd, workl, lworkl,
& info )
c
if (ido .eq. -1 .or. ido .eq. 1) then
c
c %-------------------------------------------%
c | Perform matrix vector multiplication |
c | y <--- OP*x |
c | The user should supply his/her own |
c | matrix vector multiplication routine here |
c | that takes workd(ipntr(1)) as the input |
c | vector, and return the matrix vector |
c | product to workd(ipntr(2)). |
c %-------------------------------------------%
c
call dgemv('N',n,n,1.0d0,a,maxn,
& workd(ipntr(1)),1,0.0d0,workd(ipntr(2)),1)
c
c %-----------------------------------------%
c | L O O P B A C K to call DNAUPD again. |
c %-----------------------------------------%
c
go to 10
c
else if (ido .eq. 2) then
call dcopy (n, workd(ipntr(1)), 1, workd(ipntr(2)), 1)
go to 10
end if
c
c %----------------------------------------%
c | Either we have convergence or there is |
c | an error. |
c %----------------------------------------%
c
if ( info .lt. 0 ) then
c
c %--------------------------%
c | Error message, check the |
c | documentation in DNAUPD. |
c %--------------------------%
c
print *, ' '
print *, ' Error with _naupd, info = ', info
print *, ' Check the documentation of _naupd'
print *, ' '
stop 1
c
else
c
c %-------------------------------------------%
c | No fatal errors occurred. |
c | Post-Process using DNEUPD. |
c | |
c | Computed eigenvalues may be extracted. |
c | |
c | Eigenvectors may also be computed now if |
c | desired. (indicated by rvec = .true.) |
c %-------------------------------------------%
c
rvec = .true.
c
call dneupd ( rvec, 'A', select, d, d(1,2), v, ldv,
& sigmar, sigmai, workev, bmat, n, which, nev, tol,
& resid, ncv, v, ldv, iparam, ipntr, workd, workl,
& lworkl, ierr )
c
c %-----------------------------------------------%
c | The real part of the eigenvalue is returned |
c | in the first column of the two dimensional |
c | array D, and the imaginary part is returned |
c | in the second column of D. The corresponding |
c | eigenvectors are returned in the first NEV |
c | columns of the two dimensional array V if |
c | requested. Otherwise, an orthogonal basis |
c | for the invariant subspace corresponding to |
c | the eigenvalues in D is returned in V. |
c %-----------------------------------------------%
c
if ( ierr .ne. 0) then
c
c %------------------------------------%
c | Error condition: |
c | Check the documentation of DNEUPD. |
c %------------------------------------%
c
print *, ' '
print *, ' Error with _neupd, info = ', ierr
print *, ' Check the documentation of _neupd. '
print *, ' '
c
else
c
first = .true.
nconv = iparam(5)
do 20 j=1, nconv
c
c %---------------------------%
c | Compute the residual norm |
c | |
c | || A*x - lambda*x || |
c | |
c | for the NCONV accurately |
c | computed eigenvalues and |
c | eigenvectors. (iparam(5) |
c | indicates how many are |
c | accurate to the requested |
c | tolerance) |
c %---------------------------%
c
if (d(j,2) .eq. zero) then
c
c %--------------------%
c | Ritz value is real |
c %--------------------%
c
call dgemv('N',n,n,1.0d0,a,maxn,
& v(1,j),1,0.0d0,ax,1)
call daxpy(n, -d(j,1), v(1,j), 1, ax, 1)
d(j,3) = dnrm2(n, ax, 1)
d(j,3) = d(j,3) / abs(d(j,1))
c
else if (first) then
c
c %------------------------%
c | Ritz value is complex. |
c | Residual of one Ritz |
c | value of the conjugate |
c | pair is computed. |
c %------------------------%
c
call dgemv('N',n,n,1.0d0,a,maxn,
& v(1,j),1,0.0d0,ax,1)
call daxpy(n, -d(j,1), v(1,j), 1, ax, 1)
call daxpy(n, d(j,2), v(1,j+1), 1, ax, 1)
d(j,3) = dnrm2(n, ax, 1)
call dgemv('N',n,n,1.0d0,a,maxn,
& v(1,j+1),1,0.0d0,ax,1)
call daxpy(n, -d(j,2), v(1,j), 1, ax, 1)
call daxpy(n, -d(j,1), v(1,j+1), 1, ax, 1)
d(j,3) = dlapy2( d(j,3), dnrm2(n, ax, 1) )
d(j,3) = d(j,3) / dlapy2(d(j,1),d(j,2))
d(j+1,3) = d(j,3)
first = .false.
else
first = .true.
end if
c
20 continue
c
c %-----------------------------%
c | Display computed residuals. |
c %-----------------------------%
c
call dmout(6, nconv, 3, d, maxncv, -6,
& 'Ritz values (Real,Imag) and relative residuals')
end if
c
c %-------------------------------------------%
c | Print additional convergence information. |
c %-------------------------------------------%
c
if ( info .eq. 1) then
print *, ' '
print *, ' Maximum number of iterations reached.'
print *, ' '
else if ( info .eq. 3) then
print *, ' '
print *, ' No shifts could be applied during implicit',
& ' Arnoldi update, try increasing NCV.'
print *, ' '
end if
c
print *, ' '
print *, ' _NDRV1 '
print *, ' ====== '
print *, ' '
print *, ' Size of the matrix is ', n
print *, ' The number of Ritz values requested is ', nev
print *, ' The number of Arnoldi vectors generated',
& ' (NCV) is ', ncv
print *, ' What portion of the spectrum: ', which
print *, ' The number of converged Ritz values is ',
& nconv
print *, ' The number of Implicit Arnoldi update',
& ' iterations taken is ', iparam(3)
print *, ' The number of OP*x is ', iparam(9)
print *, ' The convergence criterion is ', tol
print *, ' '
c
end if
c
c %---------------------------%
c | Done with program dndrv1. |
c %---------------------------%
c
9000 continue
c
end
c
+1 -1
View File
@@ -116,7 +116,7 @@ int zn() {
int select[ncv];
double _Complex z[(N+1)*(nev+1)];
BLASINT ldz = N+1;
double sigma=0;
double _Complex sigma=0. + I*0.;
int k;
for (k=0; k < 3*N; ++k )
workd[k] = 0;
+1 -1
View File
@@ -120,7 +120,7 @@ void complex_symmetric_runner() {
BLASINT const lworkl = 3 * (ncv * ncv) + 6 * ncv;
Real const tol = 0.0;
Real const sigma = 0.0;
std::complex<Real> const sigma(0.0, 0.0);
bool const rvec = true;
+3
View File
@@ -24,6 +24,9 @@ if test x"$INTERFACE64" == x"1"; then
AX_CHECK_COMPILE_FLAG(-fdefault-integer-8, FFLAGS="$FFLAGS -fdefault-integer-8",
AX_CHECK_COMPILE_FLAG(-i8, FFLAGS="$FFLAGS -i8",
AC_MSG_WARN([configure does not know how to make your Fortran compiler use 64-bit integers: set it manually via FFLAGS.])))
AX_CHECK_COMPILE_FLAG(-fdefault-integer-8, FCFLAGS="$FCFLAGS -fdefault-integer-8",
AX_CHECK_COMPILE_FLAG(-i8, FCFLAGS="$FCFLAGS -i8",
AC_MSG_WARN([configure does not know how to make your Fortran compiler use 64-bit integers: set it manually via FCFLAGS.])))
CFLAGS="$CFLAGS -DBLASINT=int64_t"
fi
+13
View File
@@ -0,0 +1,13 @@
c Initialisation of the debug common block to "no debug".
block data dbgini
common /debug/ logfil, ndigit, mgetv0,
& msaupd, msaup2, msaitr, mseigt, msapps, msgets, mseupd,
& mnaupd, mnaup2, mnaitr, mneigh, mnapps, mngets, mneupd,
& mcaupd, mcaup2, mcaitr, mceigh, mcapps, mcgets, mceupd
data logfil, ndigit, mgetv0,
& msaupd, msaup2, msaitr, mseigt, msapps, msgets, mseupd,
& mnaupd, mnaup2, mnaitr, mneigh, mnapps, mngets, mneupd,
& mcaupd, mcaup2, mcaitr, mceigh, mcapps, mcgets, mceupd
& / 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
& 0, 0, 0, 0, 0, 0 /
end
-12
View File
@@ -1,12 +0,0 @@
! Initialisation of the debug common block to "no debug".
block data debug_init
common /debug/ logfil, ndigit, mgetv0, &
msaupd, msaup2, msaitr, mseigt, msapps, msgets, mseupd,&
mnaupd, mnaup2, mnaitr, mneigh, mnapps, mngets, mneupd,&
mcaupd, mcaup2, mcaitr, mceigh, mcapps, mcgets, mceupd
data logfil, ndigit, mgetv0, &
msaupd, msaup2, msaitr, mseigt, msapps, msgets, mseupd,&
mnaupd, mnaup2, mnaitr, mneigh, mnapps, mngets, mneupd,&
mcaupd, mcaup2, mcaitr, mceigh, mcapps, mcgets, mceupd &
/ 6, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 /
end block data debug_init
+19
View File
@@ -0,0 +1,19 @@
c Initialisation of the stat common block.
block data staini
common /timing/
& nopx, nbx, nrorth, nitref, nrstrt,
& tsaupd, tsaup2, tsaitr, tseigt, tsgets, tsapps, tsconv,
& tnaupd, tnaup2, tnaitr, tneigh, tngets, tnapps, tnconv,
& tcaupd, tcaup2, tcaitr, tceigh, tcgets, tcapps, tcconv,
& tmvopx, tmvbx, tgetv0, titref, trvec
data nopx, nbx, nrorth, nitref, nrstrt,
& tsaupd, tsaup2, tsaitr, tseigt, tsgets, tsapps, tsconv,
& tnaupd, tnaup2, tnaitr, tneigh, tngets, tnapps, tnconv,
& tcaupd, tcaup2, tcaitr, tceigh, tcgets, tcapps, tcconv,
& tmvopx, tmvbx, tgetv0, titref, trvec
& / 0, 0, 0, 0, 0,
& 0., 0., 0., 0., 0., 0., 0.,
& 0., 0., 0., 0., 0., 0., 0.,
& 0., 0., 0., 0., 0., 0., 0.,
& 0., 0., 0., 0., 0. /
end