Mercurial > octave
view liboctave/array/MatrixType.cc @ 31771:21f9b34eb893
maint: Eliminate "(void)" in C++ function prototypes/declarations.
* mk-opts.pl, external.txi, embedded.cc, make_int.cc, standalone.cc,
standalonebuiltin.cc, BaseControl.cc, BaseControl.h, ButtonControl.cc,
ButtonControl.h, ButtonGroup.cc, ButtonGroup.h, Canvas.cc, Canvas.h,
CheckBoxControl.cc, CheckBoxControl.h, Container.cc, Container.h,
ContextMenu.cc, ContextMenu.h, EditControl.cc, EditControl.h, Figure.cc,
Figure.h, FigureWindow.cc, FigureWindow.h, GLCanvas.cc, GLCanvas.h,
GenericEventNotify.h, KeyMap.cc, ListBoxControl.cc, ListBoxControl.h,
Logger.cc, Logger.h, Menu.cc, Menu.h, MenuContainer.h, Object.cc, Object.h,
ObjectProxy.cc, ObjectProxy.h, Panel.cc, Panel.h, PopupMenuControl.cc,
PopupMenuControl.h, PushButtonControl.cc, PushButtonControl.h, PushTool.cc,
PushTool.h, RadioButtonControl.cc, RadioButtonControl.h, SliderControl.cc,
SliderControl.h, Table.cc, Table.h, TextControl.cc, TextControl.h, TextEdit.h,
ToggleButtonControl.cc, ToggleButtonControl.h, ToggleTool.cc, ToggleTool.h,
ToolBar.cc, ToolBar.h, ToolBarButton.cc, ToolBarButton.h, gl-select.cc,
gl-select.h, qopengl-functions.h, qt-graphics-toolkit.h, qdialog.cpp,
qfontdialog.cpp, qprintdialog_win.cpp, liboctgui-build-info.h,
liboctgui-build-info.in.cc, color-picker.cc, color-picker.h, command-widget.cc,
command-widget.h, community-news.cc, community-news.h, dialog.cc, dialog.h,
documentation-bookmarks.cc, documentation-bookmarks.h,
documentation-dock-widget.cc, documentation-dock-widget.h, documentation.cc,
documentation.h, dw-main-window.cc, dw-main-window.h,
external-editor-interface.cc, external-editor-interface.h,
files-dock-widget.cc, files-dock-widget.h, find-files-dialog.cc,
find-files-dialog.h, find-files-model.cc, find-files-model.h,
gui-preferences.cc, gui-preferences.h, gui-settings.cc, gui-settings.h,
history-dock-widget.cc, history-dock-widget.h, interpreter-qobject.cc,
interpreter-qobject.h, file-editor-interface.h, file-editor-tab.cc,
file-editor-tab.h, file-editor.cc, file-editor.h, find-dialog.cc,
find-dialog.h, marker.cc, marker.h, octave-qscintilla.cc, octave-qscintilla.h,
octave-txt-lexer.cc, octave-txt-lexer.h, main-window.cc, main-window.h,
news-reader.cc, news-reader.h, octave-dock-widget.cc, octave-dock-widget.h,
octave-qobject.cc, octave-qobject.h, qt-application.cc, qt-application.h,
qt-interpreter-events.cc, qt-interpreter-events.h, release-notes.cc,
release-notes.h, set-path-dialog.cc, set-path-dialog.h, set-path-model.cc,
set-path-model.h, settings-dialog.cc, settings-dialog.h,
shortcuts-tree-widget.cc, shortcuts-tree-widget.h, tab-bar.cc, tab-bar.h,
terminal-dock-widget.cc, terminal-dock-widget.h, variable-editor-model.cc,
variable-editor-model.h, variable-editor.cc, variable-editor.h,
welcome-wizard.cc, welcome-wizard.h, workspace-model.cc, workspace-model.h,
workspace-view.cc, workspace-view.h, build-env.h, Cell.cc, Cell.h,
__contourc__.cc, __magick_read__.cc, auto-shlib.cc, auto-shlib.h,
base-text-renderer.h, bsxfun.cc, c-file-ptr-stream.cc, c-file-ptr-stream.h,
call-stack.cc, call-stack.h, debug.cc, defaults.cc, defaults.h, defun.cc,
display.cc, display.h, dynamic-ld.cc, dynamic-ld.h, environment.cc,
environment.h, error.cc, error.h, errwarn.cc, errwarn.h, event-manager.cc,
event-manager.h, event-queue.cc, event-queue.h, fcn-info.cc, fcn-info.h,
ft-text-renderer.cc, ft-text-renderer.h, genprops.awk, gh-manager.cc,
gh-manager.h, gl-render.cc, gl-render.h, gl2ps-print.cc, graphics-toolkit.h,
graphics.cc, graphics.in.h, gtk-manager.cc, gtk-manager.h, help.cc, help.h,
hook-fcn.h, input.cc, input.h, interpreter-private.cc, interpreter-private.h,
interpreter.cc, interpreter.h, jsondecode.cc, latex-text-renderer.cc,
latex-text-renderer.h, load-path.cc, load-path.h, load-save.cc, load-save.h,
ls-hdf5.cc, ls-hdf5.h, mxarray.h, oct-errno.h, oct-errno.in.cc, oct-fstrm.cc,
oct-fstrm.h, oct-handle.h, oct-hist.cc, oct-hist.h, oct-iostrm.cc,
oct-iostrm.h, oct-map.cc, oct-map.h, oct-opengl.h, oct-prcstrm.cc,
oct-prcstrm.h, oct-procbuf.cc, oct-procbuf.h, oct-process.h, oct-stdstrm.h,
oct-stream.cc, oct-stream.h, oct-strstrm.cc, oct-strstrm.h,
oct-tex-lexer.in.ll, pager.cc, pager.h, pr-flt-fmt.cc, pr-flt-fmt.h,
pr-output.cc, pr-output.h, procstream.cc, procstream.h, settings.cc,
settings.h, sighandlers.cc, sighandlers.h, stack-frame.cc, stack-frame.h,
svd.cc, syminfo.cc, syminfo.h, symrec.cc, symrec.h, symscope.cc, symscope.h,
symtab.cc, symtab.h, sysdep.cc, sysdep.h, text-engine.cc, text-engine.h,
text-renderer.cc, text-renderer.h, toplev.cc, url-handle-manager.cc,
url-handle-manager.h, variables.cc, xpow.cc, __init_fltk__.cc,
__init_gnuplot__.cc, __ode15__.cc, audiodevinfo.cc, gzip.cc,
liboctinterp-build-info.h, liboctinterp-build-info.in.cc,
mk-build-env-features.sh, mk-builtins.pl, cdef-class.cc, cdef-class.h,
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-diag.cc, ov-base-diag.h, ov-base-int.cc,
ov-base-int.h, ov-base-mat.cc, ov-base-mat.h, ov-base-scalar.cc,
ov-base-scalar.h, ov-base-sparse.cc, ov-base-sparse.h, ov-base.cc, ov-base.h,
ov-bool-mat.cc, ov-bool-mat.h, ov-bool-sparse.cc, ov-bool-sparse.h, ov-bool.cc,
ov-bool.h, ov-builtin.cc, ov-builtin.h, ov-cell.cc, ov-cell.h, ov-ch-mat.cc,
ov-ch-mat.h, ov-class.cc, ov-class.h, ov-classdef.cc, ov-classdef.h,
ov-colon.h, ov-complex.cc, ov-complex.h, ov-cs-list.h, ov-cx-diag.cc,
ov-cx-diag.h, ov-cx-mat.cc, ov-cx-mat.h, ov-cx-sparse.cc, ov-cx-sparse.h,
ov-dld-fcn.cc, ov-dld-fcn.h, ov-fcn-handle.cc, ov-fcn-handle.h, ov-fcn.cc,
ov-fcn.h, ov-float.cc, ov-float.h, ov-flt-complex.cc, ov-flt-complex.h,
ov-flt-cx-diag.cc, ov-flt-cx-diag.h, ov-flt-cx-mat.cc, ov-flt-cx-mat.h,
ov-flt-re-diag.cc, ov-flt-re-diag.h, ov-flt-re-mat.cc, ov-flt-re-mat.h,
ov-intx.h, ov-java.cc, ov-java.h, ov-lazy-idx.cc, ov-lazy-idx.h,
ov-legacy-range.cc, ov-legacy-range.h, ov-magic-int.cc, ov-magic-int.h,
ov-mex-fcn.cc, ov-mex-fcn.h, ov-null-mat.cc, ov-null-mat.h, ov-oncleanup.cc,
ov-oncleanup.h, ov-perm.cc, ov-perm.h, ov-range.cc, ov-range.h, ov-re-diag.cc,
ov-re-diag.h, ov-re-mat.cc, ov-re-mat.h, ov-re-sparse.cc, ov-re-sparse.h,
ov-scalar.cc, ov-scalar.h, ov-str-mat.cc, ov-str-mat.h, ov-struct.cc,
ov-struct.h, ov-typeinfo.cc, ov-typeinfo.h, ov-usr-fcn.cc, ov-usr-fcn.h, ov.cc,
ov.h, ovl.cc, ovl.h, octave.cc, octave.h, 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.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.h, pt-cbinop.h, pt-cell.h, pt-check.h,
pt-classdef.cc, pt-classdef.h, pt-cmd.h, pt-colon.h, 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.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-walk.h, pt.cc, pt.h, token.cc, token.h, usage.h, Array-base.cc, Array.h,
CColVector.cc, CColVector.h, CDiagMatrix.cc, CDiagMatrix.h, CMatrix.cc,
CMatrix.h, CNDArray.cc, CNDArray.h, CRowVector.cc, CRowVector.h, CSparse.cc,
CSparse.h, DiagArray2.cc, DiagArray2.h, MArray.cc, MArray.h, MDiagArray2.h,
MSparse.h, MatrixType.cc, MatrixType.h, PermMatrix.cc, PermMatrix.h, Range.cc,
Range.h, Sparse-b.cc, Sparse.cc, Sparse.h, boolMatrix.cc, boolMatrix.h,
boolNDArray.cc, boolNDArray.h, boolSparse.cc, boolSparse.h, chMatrix.h,
chNDArray.h, dColVector.cc, dColVector.h, dDiagMatrix.cc, dDiagMatrix.h,
dMatrix.cc, dMatrix.h, dNDArray.cc, dNDArray.h, dRowVector.cc, dRowVector.h,
dSparse.cc, dSparse.h, dim-vector.cc, dim-vector.h, fCColVector.cc,
fCColVector.h, fCDiagMatrix.cc, fCDiagMatrix.h, fCMatrix.cc, fCMatrix.h,
fCNDArray.cc, fCNDArray.h, fCRowVector.cc, fCRowVector.h, fColVector.cc,
fColVector.h, fDiagMatrix.cc, fDiagMatrix.h, fMatrix.cc, fMatrix.h,
fNDArray.cc, fNDArray.h, fRowVector.cc, fRowVector.h, idx-vector.cc,
idx-vector.h, intNDArray.cc, intNDArray.h, liboctave-build-info.h,
liboctave-build-info.in.cc, CollocWt.cc, CollocWt.h, DAE.h, DAEFunc.h, DAERT.h,
DAERTFunc.h, DASPK.cc, DASPK.h, DASRT.cc, DASRT.h, DASSL.cc, DASSL.h, DET.h,
EIG.h, LSODE.cc, LSODE.h, ODE.h, ODEFunc.h, ODES.h, ODESFunc.h, Quad.h,
aepbalance.cc, aepbalance.h, base-dae.h, base-de.h, chol.cc, chol.h,
eigs-base.cc, fEIG.h, gepbalance.h, gsvd.cc, gsvd.h, hess.h, lu.cc, lu.h,
oct-fftw.cc, oct-fftw.h, oct-rand.cc, oct-rand.h, oct-spparms.cc,
oct-spparms.h, qr.cc, qr.h, qrp.cc, qrp.h, randmtzig.cc, randmtzig.h, 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.h, base-list.h, caseless-str.h, cmd-edit.cc, cmd-edit.h,
cmd-hist.cc, cmd-hist.h, data-conv.cc, file-info.h, glob-match.cc,
glob-match.h, kpse.cc, kpse.h, lo-array-errwarn.cc, lo-array-errwarn.h,
lo-hash.cc, lo-hash.h, lo-ieee.cc, lo-ieee.h, lo-regexp.cc, lo-regexp.h,
oct-inttypes.cc, oct-inttypes.h, oct-mutex.cc, oct-mutex.h, oct-refcount.h,
oct-shlib.cc, oct-shlib.h, oct-sort.cc, oct-sort.h, oct-sparse.cc,
octave-preserve-stream-state.h, pathsearch.cc, pathsearch.h, quit.cc,
singleton-cleanup.cc, singleton-cleanup.h, str-vec.cc, str-vec.h,
unwind-prot.cc, unwind-prot.h, url-transfer.cc, url-transfer.h, version.cc,
version.in.h, cxx-signal-helpers.cc, acinclude.m4, main-cli.cc, main-gui.cc,
main.in.cc, mkoctfile.in.cc, octave-build-info.h, octave-build-info.in.cc,
octave-config.in.cc, octave-svgconvert.cc, shared-fcns.h:
maint: Eliminate "(void)" in C++ function prototypes/declarations.
author | Rik <rik@octave.org> |
---|---|
date | Tue, 24 Jan 2023 17:19:44 -0800 |
parents | 597f3ee61a48 |
children | 2e484f9f1f18 |
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//////////////////////////////////////////////////////////////////////// // // Copyright (C) 2006-2023 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 <cinttypes> #include <vector> #include "MatrixType.h" #include "dMatrix.h" #include "fMatrix.h" #include "CMatrix.h" #include "fCMatrix.h" #include "dSparse.h" #include "CSparse.h" #include "oct-spparms.h" #include "oct-locbuf.h" static void warn_cached () { (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "using cached matrix type"); } static void warn_invalid () { (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "invalid matrix type"); } static void warn_calculating_sparse_type () { (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "calculating sparse matrix type"); } // FIXME: There is a large code duplication here MatrixType::MatrixType () : m_type (MatrixType::Unknown), m_sp_bandden (octave::sparse_params::get_bandden ()), m_bandden (0), m_upper_band (0), m_lower_band (0), m_dense (false), m_full (false), m_nperm (0), m_perm (nullptr) { } MatrixType::MatrixType (const MatrixType& a) : m_type (a.m_type), m_sp_bandden (a.m_sp_bandden), m_bandden (a.m_bandden), m_upper_band (a.m_upper_band), m_lower_band (a.m_lower_band), m_dense (a.m_dense), m_full (a.m_full), m_nperm (a.m_nperm), m_perm (nullptr) { if (m_nperm != 0) { m_perm = new octave_idx_type [m_nperm]; for (octave_idx_type i = 0; i < m_nperm; i++) m_perm[i] = a.m_perm[i]; } } template <typename T> MatrixType::matrix_type matrix_real_probe (const MArray<T>& a) { MatrixType::matrix_type m_type; octave_idx_type nrows = a.rows (); octave_idx_type ncols = a.cols (); const T zero = 0; if (ncols == nrows) { bool upper = true; bool lower = true; bool hermitian = true; // do the checks for lower/upper/hermitian all in one pass. OCTAVE_LOCAL_BUFFER (T, diag, ncols); for (octave_idx_type j = 0; j < ncols && upper; j++) { T d = a.elem (j, j); upper = upper && (d != zero); lower = lower && (d != zero); hermitian = hermitian && (d > zero); diag[j] = d; } for (octave_idx_type j = 0; j < ncols && (upper || lower || hermitian); j++) { for (octave_idx_type i = 0; i < j; i++) { T aij = a.elem (i, j); T aji = a.elem (j, i); lower = lower && (aij == zero); upper = upper && (aji == zero); hermitian = hermitian && (aij == aji && aij*aij < diag[i]*diag[j]); } } if (upper) m_type = MatrixType::Upper; else if (lower) m_type = MatrixType::Lower; else if (hermitian) m_type = MatrixType::Hermitian; else m_type = MatrixType::Full; } else m_type = MatrixType::Rectangular; return m_type; } template <typename T> MatrixType::matrix_type matrix_complex_probe (const MArray<std::complex<T>>& a) { MatrixType::matrix_type m_type = MatrixType::Unknown; octave_idx_type nrows = a.rows (); octave_idx_type ncols = a.cols (); const T zero = 0; // get the real type if (ncols == nrows) { bool upper = true; bool lower = true; bool hermitian = true; // do the checks for lower/upper/hermitian all in one pass. OCTAVE_LOCAL_BUFFER (T, diag, ncols); for (octave_idx_type j = 0; j < ncols && upper; j++) { std::complex<T> d = a.elem (j, j); upper = upper && (d != zero); lower = lower && (d != zero); hermitian = hermitian && (d.real () > zero && d.imag () == zero); diag[j] = d.real (); } for (octave_idx_type j = 0; j < ncols && (upper || lower || hermitian); j++) { for (octave_idx_type i = 0; i < j; i++) { std::complex<T> aij = a.elem (i, j); std::complex<T> aji = a.elem (j, i); lower = lower && (aij == zero); upper = upper && (aji == zero); hermitian = hermitian && (aij == octave::math::conj (aji) && std::norm (aij) < diag[i]*diag[j]); } } if (upper) m_type = MatrixType::Upper; else if (lower) m_type = MatrixType::Lower; else if (hermitian) m_type = MatrixType::Hermitian; else m_type = MatrixType::Full; } else m_type = MatrixType::Rectangular; return m_type; } MatrixType::MatrixType (const Matrix& a) : m_type (MatrixType::Unknown), m_sp_bandden (0), m_bandden (0), m_upper_band (0), m_lower_band (0), m_dense (false), m_full (true), m_nperm (0), m_perm (nullptr) { m_type = matrix_real_probe (a); } MatrixType::MatrixType (const ComplexMatrix& a) : m_type (MatrixType::Unknown), m_sp_bandden (0), m_bandden (0), m_upper_band (0), m_lower_band (0), m_dense (false), m_full (true), m_nperm (0), m_perm (nullptr) { m_type = matrix_complex_probe (a); } MatrixType::MatrixType (const FloatMatrix& a) : m_type (MatrixType::Unknown), m_sp_bandden (0), m_bandden (0), m_upper_band (0), m_lower_band (0), m_dense (false), m_full (true), m_nperm (0), m_perm (nullptr) { m_type = matrix_real_probe (a); } MatrixType::MatrixType (const FloatComplexMatrix& a) : m_type (MatrixType::Unknown), m_sp_bandden (0), m_bandden (0), m_upper_band (0), m_lower_band (0), m_dense (false), m_full (true), m_nperm (0), m_perm (nullptr) { m_type = matrix_complex_probe (a); } template <typename T> MatrixType::MatrixType (const MSparse<T>& a) : m_type (MatrixType::Unknown), m_sp_bandden (0), m_bandden (0), m_upper_band (0), m_lower_band (0), m_dense (false), m_full (false), m_nperm (0), m_perm (nullptr) { octave_idx_type nrows = a.rows (); octave_idx_type ncols = a.cols (); octave_idx_type nm = (ncols < nrows ? ncols : nrows); octave_idx_type nnz = a.nnz (); if (octave::sparse_params::get_key ("spumoni") != 0.) warn_calculating_sparse_type (); m_sp_bandden = octave::sparse_params::get_bandden (); bool maybe_hermitian = false; m_type = MatrixType::Full; if (nnz == nm) { matrix_type tmp_typ = MatrixType::Diagonal; octave_idx_type i; // Maybe the matrix is diagonal for (i = 0; i < nm; i++) { if (a.cidx (i+1) != a.cidx (i) + 1) { tmp_typ = MatrixType::Full; break; } if (a.ridx (i) != i) { tmp_typ = MatrixType::Permuted_Diagonal; break; } } if (tmp_typ == MatrixType::Permuted_Diagonal) { std::vector<bool> found (nrows); for (octave_idx_type j = 0; j < i; j++) found[j] = true; for (octave_idx_type j = i; j < nrows; j++) found[j] = false; for (octave_idx_type j = i; j < nm; j++) { if ((a.cidx (j+1) > a.cidx (j) + 1) || ((a.cidx (j+1) == a.cidx (j) + 1) && found[a.ridx (j)])) { tmp_typ = MatrixType::Full; break; } found[a.ridx (j)] = true; } } m_type = tmp_typ; } if (m_type == MatrixType::Full) { // Search for banded, upper and lower triangular matrices bool singular = false; m_upper_band = 0; m_lower_band = 0; for (octave_idx_type j = 0; j < ncols; j++) { bool zero_on_diagonal = false; if (j < nrows) { zero_on_diagonal = true; for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++) if (a.ridx (i) == j) { zero_on_diagonal = false; break; } } if (zero_on_diagonal) { singular = true; break; } if (a.cidx (j+1) != a.cidx (j)) { octave_idx_type ru = a.ridx (a.cidx (j)); octave_idx_type rl = a.ridx (a.cidx (j+1)-1); if (j - ru > m_upper_band) m_upper_band = j - ru; if (rl - j > m_lower_band) m_lower_band = rl - j; } } if (! singular) { m_bandden = double (nnz) / (double (ncols) * (double (m_lower_band) + double (m_upper_band)) - 0.5 * double (m_upper_band + 1) * double (m_upper_band) - 0.5 * double (m_lower_band + 1) * double (m_lower_band)); if (nrows == ncols && m_sp_bandden != 1. && m_bandden > m_sp_bandden) { if (m_upper_band == 1 && m_lower_band == 1) m_type = MatrixType::Tridiagonal; else m_type = MatrixType::Banded; octave_idx_type nnz_in_band = ((m_upper_band + m_lower_band + 1) * nrows - (1 + m_upper_band) * m_upper_band / 2 - (1 + m_lower_band) * m_lower_band / 2); if (nnz_in_band == nnz) m_dense = true; else m_dense = false; } // If a matrix is Banded but also Upper/Lower, set to the latter. if (m_upper_band == 0) m_type = MatrixType::Lower; else if (m_lower_band == 0) m_type = MatrixType::Upper; if (m_upper_band == m_lower_band && nrows == ncols) maybe_hermitian = true; } if (m_type == MatrixType::Full) { // Search for a permuted triangular matrix, and test if // permutation is singular // FIXME: Perhaps this should be based on a dmperm algorithm? bool found = false; m_nperm = ncols; m_perm = new octave_idx_type [ncols]; for (octave_idx_type i = 0; i < ncols; i++) m_perm[i] = -1; for (octave_idx_type i = 0; i < nm; i++) { found = false; for (octave_idx_type j = 0; j < ncols; j++) { if ((a.cidx (j+1) - a.cidx (j)) > 0 && (a.ridx (a.cidx (j+1)-1) == i)) { m_perm[i] = j; found = true; break; } } if (! found) break; } if (found) { m_type = MatrixType::Permuted_Upper; if (ncols > nrows) { octave_idx_type k = nrows; for (octave_idx_type i = 0; i < ncols; i++) if (m_perm[i] == -1) m_perm[i] = k++; } } else if (a.cidx (nm) == a.cidx (ncols)) { m_nperm = nrows; delete [] m_perm; m_perm = new octave_idx_type [nrows]; OCTAVE_LOCAL_BUFFER (octave_idx_type, tmp, nrows); for (octave_idx_type i = 0; i < nrows; i++) { m_perm[i] = -1; tmp[i] = -1; } for (octave_idx_type j = 0; j < ncols; j++) for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++) m_perm[a.ridx (i)] = j; found = true; for (octave_idx_type i = 0; i < nm; i++) if (m_perm[i] == -1) { found = false; break; } else { tmp[m_perm[i]] = 1; } if (found) { octave_idx_type k = ncols; for (octave_idx_type i = 0; i < nrows; i++) { if (tmp[i] == -1) { if (k < nrows) { m_perm[k++] = i; } else { found = false; break; } } } } if (found) m_type = MatrixType::Permuted_Lower; else { delete [] m_perm; m_nperm = 0; } } else { delete [] m_perm; m_nperm = 0; } } // FIXME: Disable lower under-determined and upper over-determined // problems as being detected, and force to treat as singular // as this seems to cause issues. if (((m_type == MatrixType::Lower || m_type == MatrixType::Permuted_Lower) && nrows > ncols) || ((m_type == MatrixType::Upper || m_type == MatrixType::Permuted_Upper) && nrows < ncols)) { if (m_type == MatrixType::Permuted_Upper || m_type == MatrixType::Permuted_Lower) delete [] m_perm; m_nperm = 0; m_type = MatrixType::Rectangular; } if (m_type == MatrixType::Full && ncols != nrows) m_type = MatrixType::Rectangular; if (maybe_hermitian && (m_type == MatrixType::Full || m_type == MatrixType::Tridiagonal || m_type == MatrixType::Banded)) { bool is_herm = true; // first, check whether the diagonal is positive & extract it ColumnVector diag (ncols); for (octave_idx_type j = 0; is_herm && j < ncols; j++) { is_herm = false; for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++) { if (a.ridx (i) == j) { T d = a.data (i); is_herm = (std::real (d) > 0.0 && std::imag (d) == 0.0); diag(j) = std::real (d); break; } } } // next, check symmetry and 2x2 positiveness for (octave_idx_type j = 0; is_herm && j < ncols; j++) for (octave_idx_type i = a.cidx (j); is_herm && i < a.cidx (j+1); i++) { octave_idx_type k = a.ridx (i); is_herm = k == j; if (is_herm) continue; T d = a.data (i); if (std::norm (d) < diag(j)*diag(k)) { d = octave::math::conj (d); for (octave_idx_type l = a.cidx (k); l < a.cidx (k+1); l++) { if (a.ridx (l) == j) { is_herm = a.data (l) == d; break; } } } } if (is_herm) { if (m_type == MatrixType::Full) m_type = MatrixType::Hermitian; else if (m_type == MatrixType::Banded) m_type = MatrixType::Banded_Hermitian; else m_type = MatrixType::Tridiagonal_Hermitian; } } } } MatrixType::MatrixType (const matrix_type t, bool _full) : m_type (MatrixType::Unknown), m_sp_bandden (octave::sparse_params::get_bandden ()), m_bandden (0), m_upper_band (0), m_lower_band (0), m_dense (false), m_full (_full), m_nperm (0), m_perm (nullptr) { if (t == MatrixType::Unknown || t == MatrixType::Full || t == MatrixType::Diagonal || t == MatrixType::Permuted_Diagonal || t == MatrixType::Upper || t == MatrixType::Lower || t == MatrixType::Tridiagonal || t == MatrixType::Tridiagonal_Hermitian || t == MatrixType::Rectangular) m_type = t; else warn_invalid (); } MatrixType::MatrixType (const matrix_type t, const octave_idx_type np, const octave_idx_type *p, bool _full) : m_type (MatrixType::Unknown), m_sp_bandden (octave::sparse_params::get_bandden ()), m_bandden (0), m_upper_band (0), m_lower_band (0), m_dense (false), m_full (_full), m_nperm (0), m_perm (nullptr) { if ((t == MatrixType::Permuted_Upper || t == MatrixType::Permuted_Lower) && np > 0 && p != nullptr) { m_type = t; m_nperm = np; m_perm = new octave_idx_type [m_nperm]; for (octave_idx_type i = 0; i < m_nperm; i++) m_perm[i] = p[i]; } else warn_invalid (); } MatrixType::MatrixType (const matrix_type t, const octave_idx_type ku, const octave_idx_type kl, bool _full) : m_type (MatrixType::Unknown), m_sp_bandden (octave::sparse_params::get_bandden ()), m_bandden (0), m_upper_band (0), m_lower_band (0), m_dense (false), m_full (_full), m_nperm (0), m_perm (nullptr) { if (t == MatrixType::Banded || t == MatrixType::Banded_Hermitian) { m_type = t; m_upper_band = ku; m_lower_band = kl; } else warn_invalid (); } MatrixType::~MatrixType () { if (m_nperm != 0) { delete [] m_perm; } } MatrixType& MatrixType::operator = (const MatrixType& a) { if (this != &a) { m_type = a.m_type; m_sp_bandden = a.m_sp_bandden; m_bandden = a.m_bandden; m_upper_band = a.m_upper_band; m_lower_band = a.m_lower_band; m_dense = a.m_dense; m_full = a.m_full; if (m_nperm) { delete[] m_perm; } if (a.m_nperm != 0) { m_perm = new octave_idx_type [a.m_nperm]; for (octave_idx_type i = 0; i < a.m_nperm; i++) m_perm[i] = a.m_perm[i]; } m_nperm = a.m_nperm; } return *this; } int MatrixType::type (bool quiet) { if (m_type != MatrixType::Unknown && (m_full || m_sp_bandden == octave::sparse_params::get_bandden ())) { if (! quiet && octave::sparse_params::get_key ("spumoni") != 0.) warn_cached (); return m_type; } if (m_type != MatrixType::Unknown && octave::sparse_params::get_key ("spumoni") != 0.) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "invalidating matrix type"); m_type = MatrixType::Unknown; return m_type; } int MatrixType::type (const SparseMatrix& a) { if (m_type != MatrixType::Unknown && (m_full || m_sp_bandden == octave::sparse_params::get_bandden ())) { if (octave::sparse_params::get_key ("spumoni") != 0.) warn_cached (); return m_type; } MatrixType tmp_typ (a); m_type = tmp_typ.m_type; m_sp_bandden = tmp_typ.m_sp_bandden; m_bandden = tmp_typ.m_bandden; m_upper_band = tmp_typ.m_upper_band; m_lower_band = tmp_typ.m_lower_band; m_dense = tmp_typ.m_dense; m_full = tmp_typ.m_full; m_nperm = tmp_typ.m_nperm; if (m_nperm != 0) { m_perm = new octave_idx_type [m_nperm]; for (octave_idx_type i = 0; i < m_nperm; i++) m_perm[i] = tmp_typ.m_perm[i]; } return m_type; } int MatrixType::type (const SparseComplexMatrix& a) { if (m_type != MatrixType::Unknown && (m_full || m_sp_bandden == octave::sparse_params::get_bandden ())) { if (octave::sparse_params::get_key ("spumoni") != 0.) warn_cached (); return m_type; } MatrixType tmp_typ (a); m_type = tmp_typ.m_type; m_sp_bandden = tmp_typ.m_sp_bandden; m_bandden = tmp_typ.m_bandden; m_upper_band = tmp_typ.m_upper_band; m_lower_band = tmp_typ.m_lower_band; m_dense = tmp_typ.m_dense; m_full = tmp_typ.m_full; m_nperm = tmp_typ.m_nperm; if (m_nperm != 0) { m_perm = new octave_idx_type [m_nperm]; for (octave_idx_type i = 0; i < m_nperm; i++) m_perm[i] = tmp_typ.m_perm[i]; } return m_type; } int MatrixType::type (const Matrix& a) { if (m_type != MatrixType::Unknown) { if (octave::sparse_params::get_key ("spumoni") != 0.) warn_cached (); return m_type; } MatrixType tmp_typ (a); m_type = tmp_typ.m_type; m_full = tmp_typ.m_full; m_nperm = tmp_typ.m_nperm; if (m_nperm != 0) { m_perm = new octave_idx_type [m_nperm]; for (octave_idx_type i = 0; i < m_nperm; i++) m_perm[i] = tmp_typ.m_perm[i]; } return m_type; } int MatrixType::type (const ComplexMatrix& a) { if (m_type != MatrixType::Unknown) { if (octave::sparse_params::get_key ("spumoni") != 0.) warn_cached (); return m_type; } MatrixType tmp_typ (a); m_type = tmp_typ.m_type; m_full = tmp_typ.m_full; m_nperm = tmp_typ.m_nperm; if (m_nperm != 0) { m_perm = new octave_idx_type [m_nperm]; for (octave_idx_type i = 0; i < m_nperm; i++) m_perm[i] = tmp_typ.m_perm[i]; } return m_type; } int MatrixType::type (const FloatMatrix& a) { if (m_type != MatrixType::Unknown) { if (octave::sparse_params::get_key ("spumoni") != 0.) warn_cached (); return m_type; } MatrixType tmp_typ (a); m_type = tmp_typ.m_type; m_full = tmp_typ.m_full; m_nperm = tmp_typ.m_nperm; if (m_nperm != 0) { m_perm = new octave_idx_type [m_nperm]; for (octave_idx_type i = 0; i < m_nperm; i++) m_perm[i] = tmp_typ.m_perm[i]; } return m_type; } int MatrixType::type (const FloatComplexMatrix& a) { if (m_type != MatrixType::Unknown) { if (octave::sparse_params::get_key ("spumoni") != 0.) warn_cached (); return m_type; } MatrixType tmp_typ (a); m_type = tmp_typ.m_type; m_full = tmp_typ.m_full; m_nperm = tmp_typ.m_nperm; if (m_nperm != 0) { m_perm = new octave_idx_type [m_nperm]; for (octave_idx_type i = 0; i < m_nperm; i++) m_perm[i] = tmp_typ.m_perm[i]; } return m_type; } void MatrixType::info () const { if (octave::sparse_params::get_key ("spumoni") != 0.) { if (m_type == MatrixType::Unknown) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "unknown matrix type"); else if (m_type == MatrixType::Diagonal) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "diagonal sparse matrix"); else if (m_type == MatrixType::Permuted_Diagonal) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "permuted diagonal sparse matrix"); else if (m_type == MatrixType::Upper) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "upper triangular matrix"); else if (m_type == MatrixType::Lower) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "lower triangular matrix"); else if (m_type == MatrixType::Permuted_Upper) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "permuted upper triangular matrix"); else if (m_type == MatrixType::Permuted_Lower) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "permuted lower triangular Matrix"); else if (m_type == MatrixType::Banded) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "banded sparse matrix %" OCTAVE_IDX_TYPE_FORMAT "-1-" "%" OCTAVE_IDX_TYPE_FORMAT " (density %f)", m_lower_band, m_upper_band, m_bandden); else if (m_type == MatrixType::Banded_Hermitian) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "banded hermitian/symmetric sparse matrix %" OCTAVE_IDX_TYPE_FORMAT "-1-%" OCTAVE_IDX_TYPE_FORMAT " (density %f)", m_lower_band, m_upper_band, m_bandden); else if (m_type == MatrixType::Hermitian) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "hermitian/symmetric matrix"); else if (m_type == MatrixType::Tridiagonal) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "tridiagonal sparse matrix"); else if (m_type == MatrixType::Tridiagonal_Hermitian) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "hermitian/symmetric tridiagonal sparse matrix"); else if (m_type == MatrixType::Rectangular) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "rectangular/singular matrix"); else if (m_type == MatrixType::Full) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "m_full matrix"); } } void MatrixType::mark_as_symmetric () { if (m_type == MatrixType::Tridiagonal || m_type == MatrixType::Tridiagonal_Hermitian) m_type = MatrixType::Tridiagonal_Hermitian; else if (m_type == MatrixType::Banded || m_type == MatrixType::Banded_Hermitian) m_type = MatrixType::Banded_Hermitian; else if (m_type == MatrixType::Full || m_type == MatrixType::Hermitian || m_type == MatrixType::Unknown) m_type = MatrixType::Hermitian; else (*current_liboctave_error_handler) ("Can not mark current matrix type as symmetric"); } void MatrixType::mark_as_unsymmetric () { if (m_type == MatrixType::Tridiagonal || m_type == MatrixType::Tridiagonal_Hermitian) m_type = MatrixType::Tridiagonal; else if (m_type == MatrixType::Banded || m_type == MatrixType::Banded_Hermitian) m_type = MatrixType::Banded; else if (m_type == MatrixType::Full || m_type == MatrixType::Hermitian || m_type == MatrixType::Unknown) m_type = MatrixType::Full; } void MatrixType::mark_as_permuted (const octave_idx_type np, const octave_idx_type *p) { m_nperm = np; m_perm = new octave_idx_type [m_nperm]; for (octave_idx_type i = 0; i < m_nperm; i++) m_perm[i] = p[i]; if (m_type == MatrixType::Diagonal || m_type == MatrixType::Permuted_Diagonal) m_type = MatrixType::Permuted_Diagonal; else if (m_type == MatrixType::Upper || m_type == MatrixType::Permuted_Upper) m_type = MatrixType::Permuted_Upper; else if (m_type == MatrixType::Lower || m_type == MatrixType::Permuted_Lower) m_type = MatrixType::Permuted_Lower; else (*current_liboctave_error_handler) ("Can not mark current matrix type as symmetric"); } void MatrixType::mark_as_unpermuted () { if (m_nperm) { m_nperm = 0; delete [] m_perm; } if (m_type == MatrixType::Diagonal || m_type == MatrixType::Permuted_Diagonal) m_type = MatrixType::Diagonal; else if (m_type == MatrixType::Upper || m_type == MatrixType::Permuted_Upper) m_type = MatrixType::Upper; else if (m_type == MatrixType::Lower || m_type == MatrixType::Permuted_Lower) m_type = MatrixType::Lower; } MatrixType MatrixType::transpose () const { MatrixType retval (*this); if (m_type == MatrixType::Upper) retval.m_type = MatrixType::Lower; else if (m_type == MatrixType::Permuted_Upper) retval.m_type = MatrixType::Permuted_Lower; else if (m_type == MatrixType::Lower) retval.m_type = MatrixType::Upper; else if (m_type == MatrixType::Permuted_Lower) retval.m_type = MatrixType::Permuted_Upper; else if (m_type == MatrixType::Banded) { retval.m_upper_band = m_lower_band; retval.m_lower_band = m_upper_band; } return retval; } // Instantiate MatrixType template constructors that we need. template MatrixType::MatrixType (const MSparse<double>&); template MatrixType::MatrixType (const MSparse<Complex>&);