Mercurial > octave
view liboctave/array/MatrixType.cc @ 21301:40de9f8f23a6
Use '#include "config.h"' rather than <config.h>.
* mk-octave-config-h.sh, mk-opts.pl, Backend.cc, BaseControl.cc,
ButtonControl.cc, Canvas.cc, CheckBoxControl.cc, Container.cc, ContextMenu.cc,
EditControl.cc, Figure.cc, FigureWindow.cc, GLCanvas.cc, KeyMap.cc,
ListBoxControl.cc, Logger.cc, Menu.cc, MouseModeActionGroup.cc, Object.cc,
ObjectFactory.cc, ObjectProxy.cc, Panel.cc, PopupMenuControl.cc,
PushButtonControl.cc, PushTool.cc, QtHandlesUtils.cc, RadioButtonControl.cc,
SliderControl.cc, TextControl.cc, TextEdit.cc, ToggleButtonControl.cc,
ToggleTool.cc, ToolBar.cc, ToolBarButton.cc, __init_qt__.cc,
annotation-dialog.cc, gl-select.cc, module.mk, kpty.cpp, color-picker.cc,
dialog.cc, documentation-dock-widget.cc, files-dock-widget.cc,
find-files-dialog.cc, find-files-model.cc, history-dock-widget.cc,
file-editor-tab.cc, file-editor-tab.h, file-editor.cc, find-dialog.cc,
marker.cc, octave-qscintilla.cc, octave-txt-lexer.cc, main-window.cc,
octave-cmd.cc, octave-dock-widget.cc, octave-gui.cc, octave-interpreter.cc,
octave-qt-link.cc, parser.cc, webinfo.cc, resource-manager.cc,
settings-dialog.cc, shortcut-manager.cc, terminal-dock-widget.cc,
thread-manager.cc, welcome-wizard.cc, workspace-model.cc, workspace-view.cc,
build-env-features.sh, build-env.in.cc, Cell.cc, __contourc__.cc,
__dispatch__.cc, __dsearchn__.cc, __ichol__.cc, __ilu__.cc, __lin_interpn__.cc,
__pchip_deriv__.cc, __qp__.cc, balance.cc, besselj.cc, betainc.cc, bitfcns.cc,
bsxfun.cc, c-file-ptr-stream.cc, cdisplay.c, cellfun.cc, coct-hdf5-types.c,
colloc.cc, comment-list.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc,
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dot.cc, dynamic-ld.cc, eig.cc, ellipj.cc, error.cc, errwarn.cc, event-queue.cc,
fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc, ft-text-renderer.cc,
gammainc.cc, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc,
gl-render.cc, gl2ps-print.cc, graphics.cc, gripes.cc, hash.cc, help.cc,
hess.cc, hex2num.cc, hook-fcn.cc, input.cc, inv.cc, jit-ir.cc, jit-typeinfo.cc,
jit-util.cc, kron.cc, load-path.cc, load-save.cc, lookup.cc,
ls-ascii-helper.cc, ls-hdf5.cc, ls-mat-ascii.cc, ls-mat4.cc, ls-mat5.cc,
ls-oct-binary.cc, ls-oct-text.cc, ls-utils.cc, lsode.cc, lu.cc, luinc.cc,
mappers.cc, matrix_type.cc, max.cc, mex.cc, mgorth.cc, nproc.cc,
oct-errno.in.cc, oct-fstrm.cc, oct-hdf5-types.cc, oct-hist.cc, oct-iostrm.cc,
oct-lvalue.cc, oct-map.cc, oct-prcstrm.cc, oct-procbuf.cc, oct-stream.cc,
oct-strstrm.cc, oct-tex-lexer.in.ll, oct-tex-parser.in.yy, octave-link.cc,
ordschur.cc, pager.cc, pinv.cc, pr-output.cc, procstream.cc, profiler.cc,
psi.cc, pt-jit.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc,
schur.cc, sighandlers.cc, siglist.c, sparse-xdiv.cc, sparse-xpow.cc, sparse.cc,
spparms.cc, sqrtm.cc, str2double.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc,
sylvester.cc, symtab.cc, syscalls.cc, sysdep.cc, text-renderer.cc, time.cc,
toplev.cc, tril.cc, tsearch.cc, txt-eng.cc, typecast.cc, urlwrite.cc, utils.cc,
variables.cc, xdiv.cc, xgl2ps.c, xnorm.cc, xpow.cc, zfstream.cc,
__delaunayn__.cc, __eigs__.cc, __fltk_uigetfile__.cc, __glpk__.cc,
__init_fltk__.cc, __init_gnuplot__.cc, __magick_read__.cc, __osmesa_print__.cc,
__voronoi__.cc, amd.cc, audiodevinfo.cc, audioread.cc, ccolamd.cc, chol.cc,
colamd.cc, convhulln.cc, dmperm.cc, fftw.cc, qr.cc, symbfact.cc, symrcm.cc,
mkbuiltins, mkops, ov-base-diag.cc, ov-base-int.cc, ov-base-mat.cc,
ov-base-scalar.cc, ov-base-sparse.cc, ov-base.cc, ov-bool-mat.cc,
ov-bool-sparse.cc, ov-bool.cc, ov-builtin.cc, ov-cell.cc, ov-ch-mat.cc,
ov-class.cc, ov-classdef.cc, ov-colon.cc, ov-complex.cc, ov-cs-list.cc,
ov-cx-diag.cc, ov-cx-mat.cc, ov-cx-sparse.cc, ov-dld-fcn.cc, ov-fcn-handle.cc,
ov-fcn-inline.cc, ov-fcn.cc, ov-float.cc, ov-flt-complex.cc, ov-flt-cx-diag.cc,
ov-flt-cx-mat.cc, ov-flt-re-diag.cc, ov-flt-re-mat.cc, ov-int16.cc,
ov-int32.cc, ov-int64.cc, ov-int8.cc, ov-java.cc, ov-lazy-idx.cc,
ov-mex-fcn.cc, ov-null-mat.cc, ov-oncleanup.cc, ov-perm.cc, ov-range.cc,
ov-re-diag.cc, ov-re-mat.cc, ov-re-sparse.cc, ov-scalar.cc, ov-str-mat.cc,
ov-struct.cc, ov-typeinfo.cc, ov-uint16.cc, ov-uint32.cc, ov-uint64.cc,
ov-uint8.cc, ov-usr-fcn.cc, ov.cc, ovl.cc, octave.cc, op-b-b.cc, op-b-bm.cc,
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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-double-conv.cc, op-fcdm-fcdm.cc,
op-fcdm-fdm.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-float-conv.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-int-conv.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-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, lex.ll, oct-parse.in.yy,
pt-arg-list.cc, pt-array-list.cc, pt-assign.cc, pt-binop.cc, pt-bp.cc,
pt-cbinop.cc, pt-cell.cc, pt-check.cc, pt-classdef.cc, pt-cmd.cc, pt-colon.cc,
pt-const.cc, pt-decl.cc, pt-eval.cc, pt-except.cc, pt-exp.cc, pt-fcn-handle.cc,
pt-funcall.cc, pt-id.cc, pt-idx.cc, pt-jump.cc, pt-loop.cc, pt-mat.cc,
pt-misc.cc, pt-pr-code.cc, pt-select.cc, pt-stmt.cc, pt-unop.cc, pt.cc,
token.cc, Array-jit.cc, Array-os.cc, Array-sym.cc, Array-tc.cc, version.cc,
Array-C.cc, Array-b.cc, Array-ch.cc, Array-d.cc, Array-f.cc, Array-fC.cc,
Array-i.cc, Array-idx-vec.cc, Array-s.cc, Array-str.cc, Array-util.cc,
Array-voidp.cc, Array.cc, CColVector.cc, CDiagMatrix.cc, CMatrix.cc,
CNDArray.cc, CRowVector.cc, CSparse.cc, DiagArray2.cc, MArray-C.cc,
MArray-d.cc, MArray-f.cc, MArray-fC.cc, MArray-i.cc, MArray-s.cc, MArray.cc,
MDiagArray2.cc, MSparse-C.cc, MSparse-d.cc, MatrixType.cc, PermMatrix.cc,
Range.cc, Sparse-C.cc, Sparse-b.cc, Sparse-d.cc, Sparse.cc, boolMatrix.cc,
boolNDArray.cc, boolSparse.cc, chMatrix.cc, chNDArray.cc, dColVector.cc,
dDiagMatrix.cc, dMatrix.cc, dNDArray.cc, dRowVector.cc, dSparse.cc,
dim-vector.cc, fCColVector.cc, fCDiagMatrix.cc, fCMatrix.cc, fCNDArray.cc,
fCRowVector.cc, fColVector.cc, fDiagMatrix.cc, fMatrix.cc, fNDArray.cc,
fRowVector.cc, idx-vector.cc, int16NDArray.cc, int32NDArray.cc,
int64NDArray.cc, int8NDArray.cc, intNDArray.cc, uint16NDArray.cc,
uint32NDArray.cc, uint64NDArray.cc, uint8NDArray.cc, blaswrap.c, cquit.c,
f77-extern.cc, f77-fcn.c, lo-error.c, quit.cc, CollocWt.cc, DASPK.cc, DASRT.cc,
DASSL.cc, EIG.cc, LSODE.cc, ODES.cc, Quad.cc, aepbalance.cc, chol.cc,
eigs-base.cc, fEIG.cc, gepbalance.cc, hess.cc, lo-mappers.cc, lo-specfun.cc,
lu.cc, oct-convn.cc, oct-fftw.cc, oct-norm.cc, oct-rand.cc, oct-spparms.cc,
qr.cc, qrp.cc, randgamma.c, randmtzig.c, randpoisson.c, schur.cc,
sparse-chol.cc, sparse-dmsolve.cc, sparse-lu.cc, sparse-qr.cc, svd.cc,
mk-ops.awk, dir-ops.cc, file-ops.cc, file-stat.cc, lo-sysdep.cc, mach-info.cc,
oct-env.cc, oct-group.cc, oct-passwd.cc, oct-syscalls.cc, oct-time.cc,
oct-uname.cc, cmd-edit.cc, cmd-hist.cc, data-conv.cc, f2c-main.c,
glob-match.cc, kpse.cc, lo-array-errwarn.cc, lo-array-gripes.cc, lo-cutils.c,
lo-ieee.cc, lo-regexp.cc, lo-utils.cc, oct-base64.cc, oct-glob.cc,
oct-inttypes.cc, oct-locbuf.cc, oct-mutex.cc, oct-rl-edit.c, oct-rl-hist.c,
oct-shlib.cc, oct-sort.cc, pathsearch.cc, singleton-cleanup.cc, sparse-sort.cc,
sparse-util.cc, str-vec.cc, unwind-prot.cc, url-transfer.cc,
display-available.c, main-cli.cc, main-gui.cc, main.in.cc, mkoctfile.in.cc,
octave-config.in.cc:
Use '#include "config.h"' rather than <config.h>.
author | Rik <rik@octave.org> |
---|---|
date | Thu, 18 Feb 2016 13:34:50 -0800 |
parents | f7121e111991 |
children | aba2e6293dd8 |
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/* Copyright (C) 2006-2015 David Bateman Copyright (C) 2006 Andy Adler Copyright (C) 2009 VZLU Prague 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 <http://www.gnu.org/licenses/>. */ #ifdef HAVE_CONFIG_H # include "config.h" #endif #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 (void) { (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "using cached matrix type"); } static void warn_invalid (void) { (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "invalid matrix type"); } static void warn_calculating_sparse_type (void) { (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "calculating sparse matrix type"); } // FIXME: There is a large code duplication here MatrixType::MatrixType (void) : typ (MatrixType::Unknown), sp_bandden (octave_sparse_params::get_bandden ()), bandden (0), upper_band (0), lower_band (0), dense (false), full (false), nperm (0), perm (0) { } MatrixType::MatrixType (const MatrixType &a) : typ (a.typ), sp_bandden (a.sp_bandden), bandden (a.bandden), upper_band (a.upper_band), lower_band (a.lower_band), dense (a.dense), full (a.full), nperm (a.nperm), perm (0) { if (nperm != 0) { perm = new octave_idx_type [nperm]; for (octave_idx_type i = 0; i < nperm; i++) perm[i] = a.perm[i]; } } template <typename T> MatrixType::matrix_type matrix_real_probe (const MArray<T>& a) { MatrixType::matrix_type typ; 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++) { double aij = a.elem (i,j); double 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) typ = MatrixType::Upper; else if (lower) typ = MatrixType::Lower; else if (hermitian) typ = MatrixType::Hermitian; else typ = MatrixType::Full; } else typ = MatrixType::Rectangular; return typ; } template <typename T> MatrixType::matrix_type matrix_complex_probe (const MArray<std::complex<T> >& a) { MatrixType::matrix_type typ = 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 == std::conj (aji) && std::norm (aij) < diag[i]*diag[j]); } } if (upper) typ = MatrixType::Upper; else if (lower) typ = MatrixType::Lower; else if (hermitian) typ = MatrixType::Hermitian; else if (ncols == nrows) typ = MatrixType::Full; } else typ = MatrixType::Rectangular; return typ; } MatrixType::MatrixType (const Matrix &a) : typ (MatrixType::Unknown), sp_bandden (0), bandden (0), upper_band (0), lower_band (0), dense (false), full (true), nperm (0), perm (0) { typ = matrix_real_probe (a); } MatrixType::MatrixType (const ComplexMatrix &a) : typ (MatrixType::Unknown), sp_bandden (0), bandden (0), upper_band (0), lower_band (0), dense (false), full (true), nperm (0), perm (0) { typ = matrix_complex_probe (a); } MatrixType::MatrixType (const FloatMatrix &a) : typ (MatrixType::Unknown), sp_bandden (0), bandden (0), upper_band (0), lower_band (0), dense (false), full (true), nperm (0), perm (0) { typ = matrix_real_probe (a); } MatrixType::MatrixType (const FloatComplexMatrix &a) : typ (MatrixType::Unknown), sp_bandden (0), bandden (0), upper_band (0), lower_band (0), dense (false), full (true), nperm (0), perm (0) { typ = matrix_complex_probe (a); } MatrixType::MatrixType (const SparseMatrix &a) : typ (MatrixType::Unknown), sp_bandden (0), bandden (0), upper_band (0), lower_band (0), dense (false), full (false), nperm (0), perm (0) { 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 (); sp_bandden = octave_sparse_params::get_bandden (); bool maybe_hermitian = false; typ = 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; } } typ = tmp_typ; } if (typ == MatrixType::Full) { // Search for banded, upper and lower triangular matrices bool singular = false; upper_band = 0; 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 > upper_band) upper_band = j - ru; if (rl - j > lower_band) lower_band = rl - j; } } if (! singular) { bandden = double (nnz) / (double (ncols) * (double (lower_band) + double (upper_band)) - 0.5 * double (upper_band + 1) * double (upper_band) - 0.5 * double (lower_band + 1) * double (lower_band)); if (nrows == ncols && sp_bandden != 1. && bandden > sp_bandden) { if (upper_band == 1 && lower_band == 1) typ = MatrixType::Tridiagonal; else typ = MatrixType::Banded; octave_idx_type nnz_in_band = (upper_band + lower_band + 1) * nrows - (1 + upper_band) * upper_band / 2 - (1 + lower_band) * lower_band / 2; if (nnz_in_band == nnz) dense = true; else dense = false; } else if (upper_band == 0) typ = MatrixType::Lower; else if (lower_band == 0) typ = MatrixType::Upper; if (upper_band == lower_band && nrows == ncols) maybe_hermitian = true; } if (typ == 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; nperm = ncols; perm = new octave_idx_type [ncols]; for (octave_idx_type i = 0; i < ncols; i++) 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)) { perm[i] = j; found = true; break; } } if (! found) break; } if (found) { typ = MatrixType::Permuted_Upper; if (ncols > nrows) { octave_idx_type k = nrows; for (octave_idx_type i = 0; i < ncols; i++) if (perm[i] == -1) perm[i] = k++; } } else if (a.cidx (nm) == a.cidx (ncols)) { nperm = nrows; delete [] perm; perm = new octave_idx_type [nrows]; OCTAVE_LOCAL_BUFFER (octave_idx_type, tmp, nrows); for (octave_idx_type i = 0; i < nrows; i++) { 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++) perm[a.ridx (i)] = j; found = true; for (octave_idx_type i = 0; i < nm; i++) if (perm[i] == -1) { found = false; break; } else { tmp[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) { perm[k++] = i; } else { found = false; break; } } } } if (found) typ = MatrixType::Permuted_Lower; else { delete [] perm; nperm = 0; } } else { delete [] perm; 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 (((typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) && nrows > ncols) || ((typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) && nrows < ncols)) { if (typ == MatrixType::Permuted_Upper || typ == MatrixType::Permuted_Lower) delete [] perm; nperm = 0; typ = MatrixType::Rectangular; } if (typ == MatrixType::Full && ncols != nrows) typ = MatrixType::Rectangular; if (maybe_hermitian && (typ == MatrixType::Full || typ == MatrixType::Tridiagonal || typ == 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) { double d = a.data (i); is_herm = d > 0.; diag(j) = 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; double d = a.data (i); if (d*d < diag(j)*diag(k)) { 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 (typ == MatrixType::Full) typ = MatrixType::Hermitian; else if (typ == MatrixType::Banded) typ = MatrixType::Banded_Hermitian; else typ = MatrixType::Tridiagonal_Hermitian; } } } } MatrixType::MatrixType (const SparseComplexMatrix &a) : typ (MatrixType::Unknown), sp_bandden (0), bandden (0), upper_band (0), lower_band (0), dense (false), full (false), nperm (0), perm (0) { 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 (); sp_bandden = octave_sparse_params::get_bandden (); bool maybe_hermitian = false; typ = 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; } } typ = tmp_typ; } if (typ == MatrixType::Full) { // Search for banded, upper and lower triangular matrices bool singular = false; upper_band = 0; 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 > upper_band) upper_band = j - ru; if (rl - j > lower_band) lower_band = rl - j; } } if (! singular) { bandden = double (nnz) / (double (ncols) * (double (lower_band) + double (upper_band)) - 0.5 * double (upper_band + 1) * double (upper_band) - 0.5 * double (lower_band + 1) * double (lower_band)); if (nrows == ncols && sp_bandden != 1. && bandden > sp_bandden) { if (upper_band == 1 && lower_band == 1) typ = MatrixType::Tridiagonal; else typ = MatrixType::Banded; octave_idx_type nnz_in_band = (upper_band + lower_band + 1) * nrows - (1 + upper_band) * upper_band / 2 - (1 + lower_band) * lower_band / 2; if (nnz_in_band == nnz) dense = true; else dense = false; } else if (upper_band == 0) typ = MatrixType::Lower; else if (lower_band == 0) typ = MatrixType::Upper; if (upper_band == lower_band && nrows == ncols) maybe_hermitian = true; } if (typ == 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; nperm = ncols; perm = new octave_idx_type [ncols]; for (octave_idx_type i = 0; i < ncols; i++) 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)) { perm[i] = j; found = true; break; } } if (! found) break; } if (found) { typ = MatrixType::Permuted_Upper; if (ncols > nrows) { octave_idx_type k = nrows; for (octave_idx_type i = 0; i < ncols; i++) if (perm[i] == -1) perm[i] = k++; } } else if (a.cidx (nm) == a.cidx (ncols)) { nperm = nrows; delete [] perm; perm = new octave_idx_type [nrows]; OCTAVE_LOCAL_BUFFER (octave_idx_type, tmp, nrows); for (octave_idx_type i = 0; i < nrows; i++) { 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++) perm[a.ridx (i)] = j; found = true; for (octave_idx_type i = 0; i < nm; i++) if (perm[i] == -1) { found = false; break; } else { tmp[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) { perm[k++] = i; } else { found = false; break; } } } } if (found) typ = MatrixType::Permuted_Lower; else { delete [] perm; nperm = 0; } } else { delete [] perm; 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 (((typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) && nrows > ncols) || ((typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) && nrows < ncols)) { if (typ == MatrixType::Permuted_Upper || typ == MatrixType::Permuted_Lower) delete [] perm; nperm = 0; typ = MatrixType::Rectangular; } if (typ == MatrixType::Full && ncols != nrows) typ = MatrixType::Rectangular; if (maybe_hermitian && (typ == MatrixType::Full || typ == MatrixType::Tridiagonal || typ == 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) { Complex d = a.data (i); is_herm = d.real () > 0. && d.imag () == 0.; diag(j) = d.real (); 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; Complex d = a.data (i); if (std::norm (d) < diag(j)*diag(k)) { d = std::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 (typ == MatrixType::Full) typ = MatrixType::Hermitian; else if (typ == MatrixType::Banded) typ = MatrixType::Banded_Hermitian; else typ = MatrixType::Tridiagonal_Hermitian; } } } } MatrixType::MatrixType (const matrix_type t, bool _full) : typ (MatrixType::Unknown), sp_bandden (octave_sparse_params::get_bandden ()), bandden (0), upper_band (0), lower_band (0), dense (false), full (_full), nperm (0), perm (0) { 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) typ = t; else warn_invalid (); } MatrixType::MatrixType (const matrix_type t, const octave_idx_type np, const octave_idx_type *p, bool _full) : typ (MatrixType::Unknown), sp_bandden (octave_sparse_params::get_bandden ()), bandden (0), upper_band (0), lower_band (0), dense (false), full (_full), nperm (0), perm (0) { if ((t == MatrixType::Permuted_Upper || t == MatrixType::Permuted_Lower) && np > 0 && p != 0) { typ = t; nperm = np; perm = new octave_idx_type [nperm]; for (octave_idx_type i = 0; i < nperm; i++) 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) : typ (MatrixType::Unknown), sp_bandden (octave_sparse_params::get_bandden ()), bandden (0), upper_band (0), lower_band (0), dense (false), full (_full), nperm (0), perm (0) { if (t == MatrixType::Banded || t == MatrixType::Banded_Hermitian) { typ = t; upper_band = ku; lower_band = kl; } else warn_invalid (); } MatrixType::~MatrixType (void) { if (nperm != 0) { delete [] perm; } } MatrixType& MatrixType::operator = (const MatrixType& a) { if (this != &a) { typ = a.typ; sp_bandden = a.sp_bandden; bandden = a.bandden; upper_band = a.upper_band; lower_band = a.lower_band; dense = a.dense; full = a.full; if (nperm) { delete[] perm; } if (a.nperm != 0) { perm = new octave_idx_type [a.nperm]; for (octave_idx_type i = 0; i < a.nperm; i++) perm[i] = a.perm[i]; } nperm = a.nperm; } return *this; } int MatrixType::type (bool quiet) { if (typ != MatrixType::Unknown && (full || sp_bandden == octave_sparse_params::get_bandden ())) { if (! quiet && octave_sparse_params::get_key ("spumoni") != 0.) warn_cached (); return typ; } if (typ != MatrixType::Unknown && octave_sparse_params::get_key ("spumoni") != 0.) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "invalidating matrix type"); typ = MatrixType::Unknown; return typ; } int MatrixType::type (const SparseMatrix &a) { if (typ != MatrixType::Unknown && (full || sp_bandden == octave_sparse_params::get_bandden ())) { if (octave_sparse_params::get_key ("spumoni") != 0.) warn_cached (); return typ; } MatrixType tmp_typ (a); typ = tmp_typ.typ; sp_bandden = tmp_typ.sp_bandden; bandden = tmp_typ.bandden; upper_band = tmp_typ.upper_band; lower_band = tmp_typ.lower_band; dense = tmp_typ.dense; full = tmp_typ.full; nperm = tmp_typ.nperm; if (nperm != 0) { perm = new octave_idx_type [nperm]; for (octave_idx_type i = 0; i < nperm; i++) perm[i] = tmp_typ.perm[i]; } return typ; } int MatrixType::type (const SparseComplexMatrix &a) { if (typ != MatrixType::Unknown && (full || sp_bandden == octave_sparse_params::get_bandden ())) { if (octave_sparse_params::get_key ("spumoni") != 0.) warn_cached (); return typ; } MatrixType tmp_typ (a); typ = tmp_typ.typ; sp_bandden = tmp_typ.sp_bandden; bandden = tmp_typ.bandden; upper_band = tmp_typ.upper_band; lower_band = tmp_typ.lower_band; dense = tmp_typ.dense; full = tmp_typ.full; nperm = tmp_typ.nperm; if (nperm != 0) { perm = new octave_idx_type [nperm]; for (octave_idx_type i = 0; i < nperm; i++) perm[i] = tmp_typ.perm[i]; } return typ; } int MatrixType::type (const Matrix &a) { if (typ != MatrixType::Unknown) { if (octave_sparse_params::get_key ("spumoni") != 0.) warn_cached (); return typ; } MatrixType tmp_typ (a); typ = tmp_typ.typ; full = tmp_typ.full; nperm = tmp_typ.nperm; if (nperm != 0) { perm = new octave_idx_type [nperm]; for (octave_idx_type i = 0; i < nperm; i++) perm[i] = tmp_typ.perm[i]; } return typ; } int MatrixType::type (const ComplexMatrix &a) { if (typ != MatrixType::Unknown) { if (octave_sparse_params::get_key ("spumoni") != 0.) warn_cached (); return typ; } MatrixType tmp_typ (a); typ = tmp_typ.typ; full = tmp_typ.full; nperm = tmp_typ.nperm; if (nperm != 0) { perm = new octave_idx_type [nperm]; for (octave_idx_type i = 0; i < nperm; i++) perm[i] = tmp_typ.perm[i]; } return typ; } int MatrixType::type (const FloatMatrix &a) { if (typ != MatrixType::Unknown) { if (octave_sparse_params::get_key ("spumoni") != 0.) warn_cached (); return typ; } MatrixType tmp_typ (a); typ = tmp_typ.typ; full = tmp_typ.full; nperm = tmp_typ.nperm; if (nperm != 0) { perm = new octave_idx_type [nperm]; for (octave_idx_type i = 0; i < nperm; i++) perm[i] = tmp_typ.perm[i]; } return typ; } int MatrixType::type (const FloatComplexMatrix &a) { if (typ != MatrixType::Unknown) { if (octave_sparse_params::get_key ("spumoni") != 0.) warn_cached (); return typ; } MatrixType tmp_typ (a); typ = tmp_typ.typ; full = tmp_typ.full; nperm = tmp_typ.nperm; if (nperm != 0) { perm = new octave_idx_type [nperm]; for (octave_idx_type i = 0; i < nperm; i++) perm[i] = tmp_typ.perm[i]; } return typ; } void MatrixType::info () const { if (octave_sparse_params::get_key ("spumoni") != 0.) { if (typ == MatrixType::Unknown) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "unknown matrix type"); else if (typ == MatrixType::Diagonal) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "diagonal sparse matrix"); else if (typ == MatrixType::Permuted_Diagonal) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "permuted diagonal sparse matrix"); else if (typ == MatrixType::Upper) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "upper triangular matrix"); else if (typ == MatrixType::Lower) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "lower triangular matrix"); else if (typ == MatrixType::Permuted_Upper) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "permuted upper triangular matrix"); else if (typ == MatrixType::Permuted_Lower) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "permuted lower triangular Matrix"); else if (typ == MatrixType::Banded) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "banded sparse matrix %d-1-%d (density %f)", lower_band, upper_band, bandden); else if (typ == MatrixType::Banded_Hermitian) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "banded hermitian/symmetric sparse matrix %d-1-%d (density %f)", lower_band, upper_band, bandden); else if (typ == MatrixType::Hermitian) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "hermitian/symmetric matrix"); else if (typ == MatrixType::Tridiagonal) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "tridiagonal sparse matrix"); else if (typ == MatrixType::Tridiagonal_Hermitian) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "hermitian/symmetric tridiagonal sparse matrix"); else if (typ == MatrixType::Rectangular) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "rectangular/singular matrix"); else if (typ == MatrixType::Full) (*current_liboctave_warning_with_id_handler) ("Octave:matrix-type-info", "full matrix"); } } void MatrixType::mark_as_symmetric (void) { if (typ == MatrixType::Tridiagonal || typ == MatrixType::Tridiagonal_Hermitian) typ = MatrixType::Tridiagonal_Hermitian; else if (typ == MatrixType::Banded || typ == MatrixType::Banded_Hermitian) typ = MatrixType::Banded_Hermitian; else if (typ == MatrixType::Full || typ == MatrixType::Hermitian || typ == MatrixType::Unknown) typ = MatrixType::Hermitian; else (*current_liboctave_error_handler) ("Can not mark current matrix type as symmetric"); } void MatrixType::mark_as_unsymmetric (void) { if (typ == MatrixType::Tridiagonal || typ == MatrixType::Tridiagonal_Hermitian) typ = MatrixType::Tridiagonal; else if (typ == MatrixType::Banded || typ == MatrixType::Banded_Hermitian) typ = MatrixType::Banded; else if (typ == MatrixType::Full || typ == MatrixType::Hermitian || typ == MatrixType::Unknown) typ = MatrixType::Full; } void MatrixType::mark_as_permuted (const octave_idx_type np, const octave_idx_type *p) { nperm = np; perm = new octave_idx_type [nperm]; for (octave_idx_type i = 0; i < nperm; i++) perm[i] = p[i]; if (typ == MatrixType::Diagonal || typ == MatrixType::Permuted_Diagonal) typ = MatrixType::Permuted_Diagonal; else if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) typ = MatrixType::Permuted_Upper; else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) typ = MatrixType::Permuted_Lower; else (*current_liboctave_error_handler) ("Can not mark current matrix type as symmetric"); } void MatrixType::mark_as_unpermuted (void) { if (nperm) { nperm = 0; delete [] perm; } if (typ == MatrixType::Diagonal || typ == MatrixType::Permuted_Diagonal) typ = MatrixType::Diagonal; else if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) typ = MatrixType::Upper; else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) typ = MatrixType::Lower; } MatrixType MatrixType::transpose (void) const { MatrixType retval (*this); if (typ == MatrixType::Upper) retval.typ = MatrixType::Lower; else if (typ == MatrixType::Permuted_Upper) retval.typ = MatrixType::Permuted_Lower; else if (typ == MatrixType::Lower) retval.typ = MatrixType::Upper; else if (typ == MatrixType::Permuted_Lower) retval.typ = MatrixType::Permuted_Upper; else if (typ == MatrixType::Banded) { retval.upper_band = lower_band; retval.lower_band = upper_band; } return retval; }