Mercurial > octave
view libinterp/corefcn/__eigs__.cc @ 31605:e88a07dec498 stable
maint: Use macros to begin/end C++ namespaces.
* oct-conf-post-public.in.h: Define two macros (OCTAVE_BEGIN_NAMESPACE,
OCTAVE_END_NAMESPACE) that can be used to start/end a namespace.
* mk-opts.pl, build-env.h, build-env.in.cc, __betainc__.cc, __contourc__.cc,
__dsearchn__.cc, __eigs__.cc, __expint__.cc, __ftp__.cc, __gammainc__.cc,
__ichol__.cc, __ilu__.cc, __isprimelarge__.cc, __lin_interpn__.cc,
__magick_read__.cc, __pchip_deriv__.cc, __qp__.cc, amd.cc, auto-shlib.cc,
auto-shlib.h, balance.cc, base-text-renderer.cc, base-text-renderer.h,
besselj.cc, bitfcns.cc, bsxfun.cc, c-file-ptr-stream.cc, c-file-ptr-stream.h,
call-stack.cc, call-stack.h, ccolamd.cc, cellfun.cc, chol.cc, colamd.cc,
colloc.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, data.h, debug.cc,
defaults.cc, defaults.h, defun-int.h, defun.cc, det.cc, dirfns.cc, display.cc,
display.h, dlmread.cc, dmperm.cc, dot.cc, dynamic-ld.cc, dynamic-ld.h, eig.cc,
ellipj.cc, environment.cc, environment.h, error.cc, error.h, errwarn.h,
event-manager.cc, event-manager.h, event-queue.cc, event-queue.h, fcn-info.cc,
fcn-info.h, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc,
ft-text-renderer.cc, ft-text-renderer.h, gcd.cc, getgrent.cc, getpwent.cc,
getrusage.cc, givens.cc, gl-render.cc, gl-render.h, gl2ps-print.cc,
gl2ps-print.h, graphics-toolkit.cc, graphics-toolkit.h, graphics.cc,
graphics.in.h, gsvd.cc, gtk-manager.cc, gtk-manager.h, hash.cc, help.cc,
help.h, hess.cc, hex2num.cc, hook-fcn.cc, hook-fcn.h, input.cc, input.h,
interpreter-private.cc, interpreter-private.h, interpreter.cc, interpreter.h,
inv.cc, jsondecode.cc, jsonencode.cc, kron.cc, latex-text-renderer.cc,
latex-text-renderer.h, load-path.cc, load-path.h, load-save.cc, load-save.h,
lookup.cc, ls-ascii-helper.cc, ls-ascii-helper.h, ls-oct-text.cc, ls-utils.cc,
ls-utils.h, lsode.cc, lu.cc, mappers.cc, matrix_type.cc, max.cc, mex-private.h,
mex.cc, mgorth.cc, nproc.cc, oct-fstrm.cc, oct-fstrm.h, oct-hdf5-types.cc,
oct-hdf5-types.h, oct-hist.cc, oct-hist.h, oct-iostrm.cc, oct-iostrm.h,
oct-opengl.h, oct-prcstrm.cc, oct-prcstrm.h, oct-procbuf.cc, oct-procbuf.h,
oct-process.cc, oct-process.h, oct-stdstrm.h, oct-stream.cc, oct-stream.h,
oct-strstrm.cc, oct-strstrm.h, oct-tex-lexer.in.ll, oct-tex-parser.yy,
ordqz.cc, ordschur.cc, pager.cc, pager.h, pinv.cc, pow2.cc, pr-flt-fmt.cc,
pr-output.cc, procstream.cc, procstream.h, psi.cc, qr.cc, quad.cc, quadcc.cc,
qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, settings.cc, settings.h,
sighandlers.cc, sighandlers.h, sparse-xdiv.cc, sparse-xdiv.h, sparse-xpow.cc,
sparse-xpow.h, sparse.cc, spparms.cc, sqrtm.cc, stack-frame.cc, stack-frame.h,
stream-euler.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc, sylvester.cc,
symbfact.cc, syminfo.cc, syminfo.h, symrcm.cc, symrec.cc, symrec.h,
symscope.cc, symscope.h, symtab.cc, symtab.h, syscalls.cc, sysdep.cc, sysdep.h,
text-engine.cc, text-engine.h, text-renderer.cc, text-renderer.h, time.cc,
toplev.cc, tril.cc, tsearch.cc, typecast.cc, url-handle-manager.cc,
url-handle-manager.h, urlwrite.cc, utils.cc, utils.h, variables.cc,
variables.h, xdiv.cc, xdiv.h, xnorm.cc, xnorm.h, xpow.cc, xpow.h,
__delaunayn__.cc, __fltk_uigetfile__.cc, __glpk__.cc, __init_fltk__.cc,
__init_gnuplot__.cc, __ode15__.cc, __voronoi__.cc, audiodevinfo.cc,
audioread.cc, convhulln.cc, fftw.cc, gzip.cc, mk-build-env-features.sh,
mk-builtins.pl, cdef-class.cc, cdef-class.h, cdef-fwd.h, cdef-manager.cc,
cdef-manager.h, cdef-method.cc, cdef-method.h, cdef-object.cc, cdef-object.h,
cdef-package.cc, cdef-package.h, cdef-property.cc, cdef-property.h,
cdef-utils.cc, cdef-utils.h, ov-base.cc, ov-base.h, ov-bool-mat.cc,
ov-builtin.h, ov-cell.cc, ov-class.cc, ov-class.h, ov-classdef.cc,
ov-classdef.h, ov-complex.cc, ov-fcn-handle.cc, ov-fcn-handle.h, ov-fcn.h,
ov-java.cc, ov-java.h, ov-mex-fcn.h, ov-null-mat.cc, ov-oncleanup.cc,
ov-struct.cc, ov-typeinfo.cc, ov-typeinfo.h, ov-usr-fcn.cc, ov-usr-fcn.h,
ov.cc, ov.h, octave.cc, octave.h, mk-ops.sh, op-b-b.cc, op-b-bm.cc,
op-b-sbm.cc, op-bm-b.cc, op-bm-bm.cc, op-bm-sbm.cc, op-cdm-cdm.cc, op-cell.cc,
op-chm.cc, op-class.cc, op-cm-cm.cc, op-cm-cs.cc, op-cm-m.cc, op-cm-s.cc,
op-cm-scm.cc, op-cm-sm.cc, op-cs-cm.cc, op-cs-cs.cc, op-cs-m.cc, op-cs-s.cc,
op-cs-scm.cc, op-cs-sm.cc, op-dm-dm.cc, op-dm-scm.cc, op-dm-sm.cc,
op-dm-template.cc, op-dms-template.cc, op-fcdm-fcdm.cc, op-fcm-fcm.cc,
op-fcm-fcs.cc, op-fcm-fm.cc, op-fcm-fs.cc, op-fcn.cc, op-fcs-fcm.cc,
op-fcs-fcs.cc, op-fcs-fm.cc, op-fcs-fs.cc, op-fdm-fdm.cc, op-fm-fcm.cc,
op-fm-fcs.cc, op-fm-fm.cc, op-fm-fs.cc, op-fs-fcm.cc, op-fs-fcs.cc,
op-fs-fm.cc, op-fs-fs.cc, op-i16-i16.cc, op-i32-i32.cc, op-i64-i64.cc,
op-i8-i8.cc, op-int-concat.cc, op-m-cm.cc, op-m-cs.cc, op-m-m.cc, op-m-s.cc,
op-m-scm.cc, op-m-sm.cc, op-mi.cc, op-pm-pm.cc, op-pm-scm.cc, op-pm-sm.cc,
op-pm-template.cc, op-range.cc, op-s-cm.cc, op-s-cs.cc, op-s-m.cc, op-s-s.cc,
op-s-scm.cc, op-s-sm.cc, op-sbm-b.cc, op-sbm-bm.cc, op-sbm-sbm.cc,
op-scm-cm.cc, op-scm-cs.cc, op-scm-m.cc, op-scm-s.cc, op-scm-scm.cc,
op-scm-sm.cc, op-sm-cm.cc, op-sm-cs.cc, op-sm-m.cc, op-sm-s.cc, op-sm-scm.cc,
op-sm-sm.cc, op-str-m.cc, op-str-s.cc, op-str-str.cc, op-struct.cc,
op-ui16-ui16.cc, op-ui32-ui32.cc, op-ui64-ui64.cc, op-ui8-ui8.cc, ops.h,
anon-fcn-validator.cc, anon-fcn-validator.h, bp-table.cc, bp-table.h,
comment-list.cc, comment-list.h, filepos.h, lex.h, lex.ll, oct-lvalue.cc,
oct-lvalue.h, oct-parse.yy, parse.h, profiler.cc, profiler.h,
pt-anon-scopes.cc, pt-anon-scopes.h, pt-arg-list.cc, pt-arg-list.h,
pt-args-block.cc, pt-args-block.h, pt-array-list.cc, pt-array-list.h,
pt-assign.cc, pt-assign.h, pt-binop.cc, pt-binop.h, pt-bp.cc, pt-bp.h,
pt-cbinop.cc, pt-cbinop.h, pt-cell.cc, pt-cell.h, pt-check.cc, pt-check.h,
pt-classdef.cc, pt-classdef.h, pt-cmd.h, pt-colon.cc, pt-colon.h, pt-const.cc,
pt-const.h, pt-decl.cc, pt-decl.h, pt-eval.cc, pt-eval.h, pt-except.cc,
pt-except.h, pt-exp.cc, pt-exp.h, pt-fcn-handle.cc, pt-fcn-handle.h, pt-id.cc,
pt-id.h, pt-idx.cc, pt-idx.h, pt-jump.h, pt-loop.cc, pt-loop.h, pt-mat.cc,
pt-mat.h, pt-misc.cc, pt-misc.h, pt-pr-code.cc, pt-pr-code.h, pt-select.cc,
pt-select.h, pt-spmd.cc, pt-spmd.h, pt-stmt.cc, pt-stmt.h, pt-tm-const.cc,
pt-tm-const.h, pt-unop.cc, pt-unop.h, pt-vm-eval.cc, pt-walk.cc, pt-walk.h,
pt.cc, pt.h, token.cc, token.h, Range.cc, Range.h, idx-vector.cc, idx-vector.h,
range-fwd.h, CollocWt.cc, CollocWt.h, aepbalance.cc, aepbalance.h, chol.cc,
chol.h, gepbalance.cc, gepbalance.h, gsvd.cc, gsvd.h, hess.cc, hess.h,
lo-mappers.cc, lo-mappers.h, lo-specfun.cc, lo-specfun.h, lu.cc, lu.h,
oct-convn.cc, oct-convn.h, oct-fftw.cc, oct-fftw.h, oct-norm.cc, oct-norm.h,
oct-rand.cc, oct-rand.h, oct-spparms.cc, oct-spparms.h, qr.cc, qr.h, qrp.cc,
qrp.h, randgamma.cc, randgamma.h, randmtzig.cc, randmtzig.h, randpoisson.cc,
randpoisson.h, schur.cc, schur.h, sparse-chol.cc, sparse-chol.h, sparse-lu.cc,
sparse-lu.h, sparse-qr.cc, sparse-qr.h, svd.cc, svd.h, child-list.cc,
child-list.h, dir-ops.cc, dir-ops.h, file-ops.cc, file-ops.h, file-stat.cc,
file-stat.h, lo-sysdep.cc, lo-sysdep.h, lo-sysinfo.cc, lo-sysinfo.h,
mach-info.cc, mach-info.h, oct-env.cc, oct-env.h, oct-group.cc, oct-group.h,
oct-password.cc, oct-password.h, oct-syscalls.cc, oct-syscalls.h, oct-time.cc,
oct-time.h, oct-uname.cc, oct-uname.h, action-container.cc, action-container.h,
base-list.h, cmd-edit.cc, cmd-edit.h, cmd-hist.cc, cmd-hist.h, f77-fcn.h,
file-info.cc, file-info.h, lo-array-errwarn.cc, lo-array-errwarn.h, lo-hash.cc,
lo-hash.h, lo-ieee.h, lo-regexp.cc, lo-regexp.h, lo-utils.cc, lo-utils.h,
oct-base64.cc, oct-base64.h, oct-glob.cc, oct-glob.h, oct-inttypes.h,
oct-mutex.cc, oct-mutex.h, oct-refcount.h, oct-shlib.cc, oct-shlib.h,
oct-sparse.cc, oct-sparse.h, oct-string.h, octave-preserve-stream-state.h,
pathsearch.cc, pathsearch.h, quit.cc, quit.h, unwind-prot.cc, unwind-prot.h,
url-transfer.cc, url-transfer.h : Use new macros to begin/end C++ namespaces.
author | Rik <rik@octave.org> |
---|---|
date | Thu, 01 Dec 2022 14:23:45 -0800 |
parents | c9788d7f6e65 |
children | aac27ad79be6 |
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//////////////////////////////////////////////////////////////////////// // // Copyright (C) 2005-2022 The Octave Project Developers // // See the file COPYRIGHT.md in the top-level directory of this // distribution or <https://octave.org/copyright/>. // // This file is part of Octave. // // Octave is free software: you can redistribute it and/or modify it // under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 3 of the License, or // (at your option) any later version. // // Octave is distributed in the hope that it will be useful, but // WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with Octave; see the file COPYING. If not, see // <https://www.gnu.org/licenses/>. // //////////////////////////////////////////////////////////////////////// #if defined (HAVE_CONFIG_H) # include "config.h" #endif #include <limits> #include <string> #include "Matrix.h" #include "eigs-base.h" #include "unwind-prot.h" #include "defun.h" #include "error.h" #include "errwarn.h" #include "interpreter-private.h" #include "oct-map.h" #include "ov.h" #include "ovl.h" #include "pager.h" #include "parse.h" #include "variables.h" OCTAVE_BEGIN_NAMESPACE(octave) #if defined (HAVE_ARPACK) struct eigs_callback { public: ColumnVector eigs_func (const ColumnVector& x, int& eigs_error); ComplexColumnVector eigs_complex_func (const ComplexColumnVector& x, int& eigs_error); //-------- // Pointer for user defined function. octave_value m_eigs_fcn; // Have we warned about imaginary values returned from user function? bool m_warned_imaginary = false; }; // Is this a recursive call? static int call_depth = 0; ColumnVector eigs_callback::eigs_func (const ColumnVector& x, int& eigs_error) { ColumnVector retval; octave_value_list args; args(0) = x; if (m_eigs_fcn.is_defined ()) { octave_value_list tmp; try { tmp = octave::feval (m_eigs_fcn, args, 1); } catch (octave::execution_exception& ee) { err_user_supplied_eval (ee, "eigs"); } if (tmp.length () && tmp(0).is_defined ()) { if (! m_warned_imaginary && tmp(0).iscomplex ()) { warning ("eigs: ignoring imaginary part returned from user-supplied function"); m_warned_imaginary = true; } retval = tmp(0).xvector_value ("eigs: evaluation of user-supplied function failed"); } else { eigs_error = 1; err_user_supplied_eval ("eigs"); } } return retval; } ComplexColumnVector eigs_callback::eigs_complex_func (const ComplexColumnVector& x, int& eigs_error) { ComplexColumnVector retval; octave_value_list args; args(0) = x; if (m_eigs_fcn.is_defined ()) { octave_value_list tmp; try { tmp = octave::feval (m_eigs_fcn, args, 1); } catch (octave::execution_exception& ee) { err_user_supplied_eval (ee, "eigs"); } if (tmp.length () && tmp(0).is_defined ()) { retval = tmp(0).xcomplex_vector_value ("eigs: evaluation of user-supplied function failed"); } else { eigs_error = 1; err_user_supplied_eval ("eigs"); } } return retval; } #endif DEFMETHOD (__eigs__, interp, args, nargout, doc: /* -*- texinfo -*- @deftypefn {} {@var{d} =} __eigs__ (@var{A}) @deftypefnx {} {@var{d} =} __eigs__ (@var{A}, @var{k}) @deftypefnx {} {@var{d} =} __eigs__ (@var{A}, @var{k}, @var{sigma}) @deftypefnx {} {@var{d} =} __eigs__ (@var{A}, @var{k}, @var{sigma}, @var{opts}) @deftypefnx {} {@var{d} =} __eigs__ (@var{A}, @var{B}) @deftypefnx {} {@var{d} =} __eigs__ (@var{A}, @var{B}, @var{k}) @deftypefnx {} {@var{d} =} __eigs__ (@var{A}, @var{B}, @var{k}, @var{sigma}) @deftypefnx {} {@var{d} =} __eigs__ (@var{A}, @var{B}, @var{k}, @var{sigma}, @var{opts}) @deftypefnx {} {@var{d} =} __eigs__ (@var{af}, @var{n}) @deftypefnx {} {@var{d} =} __eigs__ (@var{af}, @var{n}, @var{B}) @deftypefnx {} {@var{d} =} __eigs__ (@var{af}, @var{n}, @var{k}) @deftypefnx {} {@var{d} =} __eigs__ (@var{af}, @var{n}, @var{B}, @var{k}) @deftypefnx {} {@var{d} =} __eigs__ (@var{af}, @var{n}, @var{k}, @var{sigma}) @deftypefnx {} {@var{d} =} __eigs__ (@var{af}, @var{n}, @var{B}, @var{k}, @var{sigma}) @deftypefnx {} {@var{d} =} __eigs__ (@var{af}, @var{n}, @var{k}, @var{sigma}, @var{opts}) @deftypefnx {} {@var{d} =} __eigs__ (@var{af}, @var{n}, @var{B}, @var{k}, @var{sigma}, @var{opts}) @deftypefnx {} {[@var{V}, @var{d}] =} __eigs__ (@var{A}, @dots{}) @deftypefnx {} {[@var{V}, @var{d}] =} __eigs__ (@var{af}, @var{n}, @dots{}) @deftypefnx {} {[@var{V}, @var{d}, @var{flag}] =} __eigs__ (@var{A}, @dots{}) @deftypefnx {} {[@var{V}, @var{d}, @var{flag}] =} __eigs__ (@var{af}, @var{n}, @dots{}) Undocumented internal function. @end deftypefn */) { #if defined (HAVE_ARPACK) int nargin = args.length (); if (nargin == 0) print_usage (); octave_value_list retval; std::string fcn_name; octave_idx_type n = 0; octave_idx_type k = 6; Complex sigma = 0.0; double sigmar, sigmai; bool have_sigma = false; std::string typ = "LM"; Matrix amm, bmm, bmt; ComplexMatrix acm, bcm, bct; SparseMatrix asmm, bsmm, bsmt; SparseComplexMatrix ascm, bscm, bsct; int b_arg = 0; bool have_b = false; bool have_a_fcn = false; bool a_is_complex = false; bool b_is_complex = false; bool symmetric = false; bool sym_tested = false; bool cholB = false; bool a_is_sparse = false; bool b_is_sparse = false; ColumnVector permB; int arg_offset = 0; double tol = std::numeric_limits<double>::epsilon (); int maxit = 300; int disp = 0; octave_idx_type p = -1; ColumnVector resid; ComplexColumnVector cresid; octave_idx_type info = 1; eigs_callback callback; unwind_protect_var<int> restore_var (call_depth); call_depth++; if (call_depth > 1) error ("eigs: invalid recursive call"); if (args(0).is_function_handle () || args(0).is_inline_function () || args(0).is_string ()) { callback.m_eigs_fcn = get_function_handle (interp, args(0), "x"); if (callback.m_eigs_fcn.is_undefined ()) error ("eigs: unknown function"); if (nargin < 2) error ("eigs: incorrect number of arguments"); n = args(1).nint_value (); arg_offset = 1; have_a_fcn = true; } else { if (args(0).iscomplex ()) { if (args(0).issparse ()) { ascm = (args(0).sparse_complex_matrix_value ()); a_is_sparse = true; } else acm = (args(0).complex_matrix_value ()); a_is_complex = true; } else { if (args(0).issparse ()) { asmm = (args(0).sparse_matrix_value ()); a_is_sparse = true; } else { amm = (args(0).matrix_value ()); } } } // Note hold off reading B until later to avoid issues of double // copies of the matrix if B is full/real while A is complex. if (nargin > 1 + arg_offset && ! (args(1 + arg_offset).is_real_scalar ())) { if (args(1+arg_offset).iscomplex ()) { b_arg = 1+arg_offset; if (args(b_arg).issparse ()) { bscm = (args(b_arg).sparse_complex_matrix_value ()); b_is_sparse = true; } else bcm = (args(b_arg).complex_matrix_value ()); have_b = true; b_is_complex = true; arg_offset++; } else { b_arg = 1+arg_offset; if (args(b_arg).issparse ()) { bsmm = (args(b_arg).sparse_matrix_value ()); b_is_sparse = true; } else bmm = (args(b_arg).matrix_value ()); have_b = true; arg_offset++; } } if (nargin > (1+arg_offset)) k = args(1+arg_offset).nint_value (); if (nargin > (2+arg_offset)) { if (args(2+arg_offset).is_string ()) { typ = args(2+arg_offset).string_value (); // Use STL function to convert to upper case transform (typ.begin (), typ.end (), typ.begin (), toupper); sigma = 0.0; } else { sigma = args(2+arg_offset).xcomplex_value ("eigs: SIGMA must be a scalar or a string"); have_sigma = true; } } sigmar = sigma.real (); sigmai = sigma.imag (); if (nargin > (3+arg_offset)) { if (! args(3+arg_offset).isstruct ()) error ("eigs: OPTS argument must be a structure"); octave_scalar_map map = args(3+arg_offset).xscalar_map_value ("eigs: OPTS argument must be a scalar structure"); octave_value tmp; // issym is ignored for complex matrix inputs tmp = map.getfield ("issym"); if (tmp.is_defined ()) { if (tmp.numel () != 1) error ("eigs: OPTS.issym must be a scalar value"); symmetric = tmp.xbool_value ("eigs: OPTS.issym must be a logical value"); sym_tested = true; } // isreal is ignored if A is not a function if (have_a_fcn) { tmp = map.getfield ("isreal"); if (tmp.is_defined ()) { if (tmp.numel () != 1) error ("eigs: OPTS.isreal must be a scalar value"); a_is_complex = ! tmp.xbool_value ("eigs: OPTS.isreal must be a logical value"); } } tmp = map.getfield ("tol"); if (tmp.is_defined ()) tol = tmp.double_value (); tmp = map.getfield ("maxit"); if (tmp.is_defined ()) maxit = tmp.nint_value (); tmp = map.getfield ("p"); if (tmp.is_defined ()) p = tmp.nint_value (); tmp = map.getfield ("v0"); if (tmp.is_defined ()) { if (a_is_complex || b_is_complex) cresid = ComplexColumnVector (tmp.complex_vector_value ()); else resid = ColumnVector (tmp.vector_value ()); } tmp = map.getfield ("disp"); if (tmp.is_defined ()) disp = tmp.nint_value (); tmp = map.getfield ("cholB"); if (tmp.is_defined ()) { if (tmp.numel () != 1) error ("eigs: OPTS.cholB must be a scalar value"); cholB = tmp.xbool_value ("eigs: OPTS.cholB must be a logical value"); } tmp = map.getfield ("permB"); if (tmp.is_defined ()) permB = ColumnVector (tmp.vector_value ()) - 1.0; } if (nargin > (4+arg_offset)) error ("eigs: incorrect number of arguments"); // Test undeclared (no issym) matrix inputs for symmetry if (! sym_tested && ! have_a_fcn) { if (a_is_complex) { if (a_is_sparse) symmetric = ascm.ishermitian (); else symmetric = acm.ishermitian (); } else { if (a_is_sparse) symmetric = asmm.issymmetric (); else symmetric = amm.issymmetric (); } } if (have_b) { if (a_is_complex || b_is_complex) { if (b_is_sparse) bscm = args(b_arg).sparse_complex_matrix_value (); else bcm = args(b_arg).complex_matrix_value (); } else { if (b_is_sparse) bsmm = args(b_arg).sparse_matrix_value (); else bmm = args(b_arg).matrix_value (); } } // Mode 1 for SM mode seems unstable for some reason. // Use Mode 3 instead, with sigma = 0. if (! have_sigma && typ == "SM") have_sigma = true; octave_idx_type nconv; if (a_is_complex || b_is_complex) { EigsComplexFunc eigs_complex_fcn = [&callback] (const ComplexColumnVector& x, int& eigs_error) { return callback.eigs_complex_func (x, eigs_error); }; ComplexMatrix eig_vec; ComplexColumnVector eig_val; if (have_a_fcn) { if (b_is_sparse) nconv = EigsComplexNonSymmetricFunc (eigs_complex_fcn, n, typ, sigma, k, p, info, eig_vec, eig_val, bscm, permB, cresid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); else nconv = EigsComplexNonSymmetricFunc (eigs_complex_fcn, n, typ, sigma, k, p, info, eig_vec, eig_val, bcm, permB, cresid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); } else if (have_sigma) { if (a_is_sparse) nconv = EigsComplexNonSymmetricMatrixShift (ascm, sigma, k, p, info, eig_vec, eig_val, bscm, permB, cresid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); else nconv = EigsComplexNonSymmetricMatrixShift (acm, sigma, k, p, info, eig_vec, eig_val, bcm, permB, cresid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); } else { if (a_is_sparse) nconv = EigsComplexNonSymmetricMatrix (ascm, typ, k, p, info, eig_vec, eig_val, bscm, permB, cresid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); else nconv = EigsComplexNonSymmetricMatrix (acm, typ, k, p, info, eig_vec, eig_val, bcm, permB, cresid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); } if (nargout < 2) { if (symmetric) retval(0) = real (eig_val); else retval(0) = eig_val; } else { if (symmetric) retval = ovl (eig_vec, DiagMatrix (real (eig_val)), double (info)); else retval = ovl (eig_vec, ComplexDiagMatrix (eig_val), double (info)); } } else if (sigmai != 0.0) { EigsComplexFunc eigs_complex_fcn = [&callback] (const ComplexColumnVector& x, int& eigs_error) { return callback.eigs_complex_func (x, eigs_error); }; // Promote real problem to a complex one. ComplexMatrix eig_vec; ComplexColumnVector eig_val; if (have_a_fcn) { if (b_is_sparse) nconv = EigsComplexNonSymmetricFunc (eigs_complex_fcn, n, typ, sigma, k, p, info, eig_vec, eig_val, bscm, permB, cresid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); else nconv = EigsComplexNonSymmetricFunc (eigs_complex_fcn, n, typ, sigma, k, p, info, eig_vec, eig_val, bcm, permB, cresid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); } else { if (a_is_sparse) nconv = EigsComplexNonSymmetricMatrixShift (SparseComplexMatrix (asmm), sigma, k, p, info, eig_vec, eig_val, SparseComplexMatrix (bsmm), permB, cresid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); else nconv = EigsComplexNonSymmetricMatrixShift (ComplexMatrix (amm), sigma, k, p, info, eig_vec, eig_val, ComplexMatrix (bmm), permB, cresid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); } if (nargout < 2) { if (symmetric) retval(0) = real (eig_val); else retval(0) = eig_val; } else { if (symmetric) retval = ovl (eig_vec, DiagMatrix (real (eig_val)), double (info)); else retval = ovl (eig_vec, ComplexDiagMatrix (eig_val), double (info)); } } else { EigsFunc eigs_fcn = [&callback] (const ColumnVector& x, int& eigs_error) { return callback.eigs_func (x, eigs_error); }; if (symmetric) { Matrix eig_vec; ColumnVector eig_val; if (have_a_fcn) { if (b_is_sparse) nconv = EigsRealSymmetricFunc (eigs_fcn, n, typ, sigmar, k, p, info, eig_vec, eig_val, bsmm, permB, resid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); else nconv = EigsRealSymmetricFunc (eigs_fcn, n, typ, sigmar, k, p, info, eig_vec, eig_val, bmm, permB, resid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); } else if (have_sigma) { if (a_is_sparse) nconv = EigsRealSymmetricMatrixShift (asmm, sigmar, k, p, info, eig_vec, eig_val, bsmm, permB, resid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); else nconv = EigsRealSymmetricMatrixShift (amm, sigmar, k, p, info, eig_vec, eig_val, bmm, permB, resid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); } else { if (a_is_sparse) nconv = EigsRealSymmetricMatrix (asmm, typ, k, p, info, eig_vec, eig_val, bsmm, permB, resid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); else nconv = EigsRealSymmetricMatrix (amm, typ, k, p, info, eig_vec, eig_val, bmm, permB, resid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); } if (nargout < 2) retval(0) = eig_val; else retval = ovl (eig_vec, DiagMatrix (eig_val), double (info)); } else { ComplexMatrix eig_vec; ComplexColumnVector eig_val; if (have_a_fcn) { if (b_is_sparse) nconv = EigsRealNonSymmetricFunc (eigs_fcn, n, typ, sigmar, k, p, info, eig_vec, eig_val, bsmm, permB, resid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); else nconv = EigsRealNonSymmetricFunc (eigs_fcn, n, typ, sigmar, k, p, info, eig_vec, eig_val, bmm, permB, resid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); } else if (have_sigma) { if (a_is_sparse) nconv = EigsRealNonSymmetricMatrixShift (asmm, sigmar, k, p, info, eig_vec, eig_val, bsmm, permB, resid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); else nconv = EigsRealNonSymmetricMatrixShift (amm, sigmar, k, p, info, eig_vec, eig_val, bmm, permB, resid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); } else { if (a_is_sparse) nconv = EigsRealNonSymmetricMatrix (asmm, typ, k, p, info, eig_vec, eig_val, bsmm, permB, resid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); else nconv = EigsRealNonSymmetricMatrix (amm, typ, k, p, info, eig_vec, eig_val, bmm, permB, resid, octave_stdout, tol, (nargout > 1), cholB, disp, maxit); } if (nargout < 2) retval(0) = eig_val; else retval = ovl (eig_vec, ComplexDiagMatrix (eig_val), double (info)); } } if (nconv <= 0) warning_with_id ("Octave:eigs:UnconvergedEigenvalues", "eigs: None of the %" OCTAVE_IDX_TYPE_FORMAT " requested eigenvalues converged", k); else if (nconv < k) warning_with_id ("Octave:eigs:UnconvergedEigenvalues", "eigs: Only %" OCTAVE_IDX_TYPE_FORMAT " of the %" OCTAVE_IDX_TYPE_FORMAT " requested eigenvalues converged", nconv, k); if (! fcn_name.empty ()) { symbol_table& symtab = interp.get_symbol_table (); symtab.clear_function (fcn_name); } return retval; #else octave_unused_parameter (interp); octave_unused_parameter (args); octave_unused_parameter (nargout); err_disabled_feature ("eigs", "ARPACK"); #endif } /* ## No test needed for internal helper function. %!assert (1) */ OCTAVE_END_NAMESPACE(octave)