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view test/diag-perm.tst @ 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 | 796f54d4ddbf |
children | 597f3ee61a48 |
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######################################################################## ## ## Copyright (C) 2009-2022 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/>. ## ######################################################################## ######################################## ## Permutation matrices ## row permutation %!test %! n = 5; %! A = rand (n); %! perm = randperm (n); %! Prow = eye (n) (perm, :); %! assert (A(perm, :), Prow * A); %! invperm(perm) = 1:n; %! assert (Prow \ A, A(invperm, :)); %! assert (Prow' * A, A(invperm, :)); ## column permutation %!test %! n = 7; %! A = rand (n); %! perm = randperm (n); %! Pcol = eye (n) (:, perm); %! assert (A(:, perm), A * Pcol); %! invperm(perm) = 1:n; %! assert (A / Pcol, A(:, invperm)); %! assert (A * Pcol.', A(:, invperm)); ## fall back to a matrix in addition %!test %! n = 4; %! P1 = eye (n) (:, randperm (n)); %! A = zeros (n) + P1; %! assert (sum (A), full (ones (1, n))); %! assert (sum (A, 2), full (ones (n, 1))); ## preserve dense matrix structure %!test %! n = 7; %! Pc = eye (n) (:, randperm (n)); %! Pr = eye (n) (randperm (n), :); %! assert (typeinfo (rand (n) * Pc), "matrix"); %! assert (typeinfo (Pr * rand (n)), "matrix"); ## preserve sparse matrix structure %!test %! n = 7; %! Pc = eye (n) (:, randperm (n)); %! Ac = sprand (n-3, n, .5) + I () * sprand (n-3, n, .5); %! Pr = eye (n) (randperm (n), :); %! Ar = sprand (n, n+2, .5); %! assert (typeinfo (Ac * Pc), "sparse complex matrix"); %! assert (full (Ac * Pc), full (Ac) * Pc); %! assert (full (Ac / Pc), full (Ac) / Pc); %! assert (typeinfo (Pr * Ar), "sparse matrix"); %! assert (full (Pr * Ar), Pr * full (Ar)); %! assert (full (Pr \ Ar), Pr \ full (Ar)); ## structure rules for 1x1 dense / scalar and 1x1 perm %!test %! n = 7; %! P1 = eye (1) (:, [1]); %! A1 = 1; %! P = eye (n) (:, randperm (n)); %! A = rand (n-3, n); %! assert (typeinfo (A * P1), "matrix"); %! assert (full (A * P1), full (A) * P1); %! assert (typeinfo (P1 * A), "matrix"); %! assert (full (P1 * A), P1 * full (A)); %! assert (typeinfo (A1 * P), "matrix"); %! assert (full (A1 * P), full (A1) * P); %! assert (typeinfo (P * A1), "matrix"); %! assert (full (P * A1), P * full (A1)); ## structure rules for 1x1 sparse and 1x1 perm %!test %! n = 7; %! P1 = eye (1) (:, [1]); %! A1 = sparse (1, 1, 2); %! P = eye (n) (:, randperm (n)); %! A = sprand (n-3, n, .5); %! assert (typeinfo (A * P1), "sparse matrix"); %! assert (full (A * P1), full (A) * P1); %! assert (typeinfo (P1 * A), "sparse matrix"); %! assert (full (P1 * A), P1 * full (A)); %! assert (typeinfo (A1 * P), "sparse matrix"); %! assert (full (A1 * P), full (A1) * P); %! assert (typeinfo (P * A1), "sparse matrix"); %! assert (full (P * A1), P * full (A1)); ## permuting a matrix with exceptional values does not introduce new ones. %!test %! n = 5; %! pc = randperm (n); %! Pc = eye (n) (:, pc); %! pr = randperm (n); %! Pr = eye (n) (pr, :); %! A = rand (n); %! A(n, n-2) = NaN; %! A(3, 1) = Inf; %! assert (Pr * A * Pc, A(pr, pc)); ## conversion to sparse form %!test %! n = 7; %! P = eye (n) (:, randperm (n)); %! sP = sparse (P); %! assert (full (sP), full (P)); %! assert (size (find (sP), 1), n); %! [I, J, V] = find (sP); %! assert (all (V == 1)); ######################################## ## Diagonal matrices ## square row scaling %!test %! m = 7; %! n = 11; %! A = rand (m, n); %! scalefact = rand (m, 1); %! Dr = diag (scalefact); %! assert (Dr * A, repmat (scalefact, 1, n) .* A); %! assert (Dr \ A, A ./ repmat (scalefact, 1, n)); %! scalefact(m-1) = Inf; %! Dr(m-1, m-1) = 0; %! assert (Dr \ A, A ./ repmat (scalefact, 1, n)); ## square column scaling %!test %! m = 13; %! n = 11; %! A = rand (m, n); %! scalefact = rand (1, n); %! Dc = diag (scalefact); %! assert (A * Dc, repmat (scalefact, m, 1) .* A); %! assert (A / Dc, A ./ repmat (scalefact, m, 1)); %! scalefact(n-1) = Inf; %! Dc(n-1, n-1) = 0; %! assert (A / Dc, A ./ repmat (scalefact, m, 1)); ## arithmetic %!test %! m = 9; %! n = 7; %! mn = min (m, n); %! d1 = rand (mn, 1) + I () * rand (mn, 1); %! D1 = diag (d1, m, n); %! d2 = rand (mn, 1); %! D2 = diag (d2, m, n); %! D1D2 = D1 + D2; %! assert (typeinfo (D1D2), "complex diagonal matrix"); %! assert (diag (D1D2), d1 + d2); %! D1D2 = D2.' * D1; %! assert (typeinfo (D1D2), "complex diagonal matrix"); %! assert (diag (D1D2), d1 .* d2); ## slicing ## preserving diagonal matrix type is not possible if indices are ## general matrix objects. %!test %! m = 13; %! n = 6; %! mn = min (m, n); %! d = rand (mn, 1); %! D = diag (d, m, n); %! Dslice = D (1:(m-3), 1:(n-2)); %! if (optimize_range ()) %! assert (typeinfo (Dslice), "diagonal matrix"); %! else %! assert (typeinfo (Dslice), "matrix"); %! endif ## preserve dense matrix structure when scaling %!assert (typeinfo (rand (8) * (3 * eye (8))), "matrix") %!assert (typeinfo ((3 * eye (8)) * rand (8)), "matrix") ## preserve sparse matrix structure when scaling %!assert (typeinfo (sprand (8, 8, .5) * (3 * eye (8))), "sparse matrix") %!assert (typeinfo (sprand (8, 8, .5) * (3 * eye (8))'), "sparse matrix") %!assert (typeinfo (((3 + 2 * I ()) * eye (8)) * sprand (8, 8, .5)), "sparse complex matrix") %!assert (typeinfo (((3 + 2 * I ()) * eye (8))' * sprand (8, 8, .5)), "sparse complex matrix") %!assert (typeinfo (sprand (8, 8, .5) * ((3 + 2 * I ()) * eye (8)).'), "sparse complex matrix") ## scaling a matrix with exceptional values does not introduce new ones. %!test %! n = 6; %! dr = rand (n, 1); %! Dr = diag (dr); %! dc = rand (1, n); %! Dc = diag (dc); %! A = rand (n); %! A(n, n-2) = NaN; %! A(4, 1) = Inf; %! assert (Dr * A * Dc, A .* kron (dr, dc), eps); ## sparse inverse row scaling with a zero factor %!test %! n = 8; %! A = sprand (n, n, .5); %! scalefact = rand (n, 1); %! Dr = diag (scalefact); %! scalefact(n-1) = Inf; %! Dr(n-1, n-1) = 0; %! assert (full (Dr \ A), full (A) ./ repmat (scalefact, 1, n)); ## narrow sparse inverse row scaling %!test %! n = 8; %! A = sprand (n, n, .5); %! scalefact = rand (n-2, 1); %! Dr = diag (scalefact, n, n-2); %! assert (full (Dr \ A), Dr \ full (A)); ## sparse inverse column scaling with a zero factor %!test %! n = 11; %! A = sprand (n, n, .5); %! scalefact = rand (1, n); %! Dc = diag (scalefact); %! scalefact(n-1) = Inf; %! Dc(n-1, n-1) = 0; %! assert (full (A / Dc), full (A) / Dc); ## short sparse inverse column scaling %!test %! n = 7; %! A = sprand (n, n, .5); %! scalefact = rand (1, n-2) + I () * rand (1, n-2); %! Dc = diag (scalefact, n-2, n); %! assert (full (A / Dc), full (A) / Dc); ## adding sparse and diagonal stays sparse %!test %! n = 9; %! A = sprand (n, n, .5); %! D = 2 * eye (n); %! assert (typeinfo (A + D), "sparse matrix"); %! assert (typeinfo (A - D), "sparse matrix"); %! D = D * I () + D; %! assert (typeinfo (A - D), "sparse complex matrix"); %! A = A * I () + A; %! assert (typeinfo (D - A), "sparse complex matrix"); ## adding sparse and diagonal stays sparse %!test %! n = 9; %! A = sprand (n, n, .5); %! D = 2 * eye (n); %! assert (full (A + D), full (A) + D); %! assert (full (A - D), full (A) - D); %! D = D * I () + D; %! assert (full (D + A), D + full (A)); %! A = A * I () + A; %! A(6, 4) = nan (); %! assert (full (D - A), D - full (A)); ## inverse preserves diagonal structure even for singular matrices (bug #46103) ## but set all the diagonal elements to Inf (bug #56232) %!test %! x = diag (1:3); %! assert (inv (x), diag ([1 1/2 1/3])); %!warning <matrix singular> A = inv (diag (0:2)); %! assert (A, diag ([Inf Inf Inf])); ## assignment to diagonal elements preserves diagonal structure (bug #36932) %!test %! x = diag (1:3); %! x(1,1) = -1; %! assert (typeinfo (x), "diagonal matrix"); %! x(3,3) = -1; %! assert (typeinfo (x), "diagonal matrix"); %!test %! x = diag (1:3); %! x(1) = -1; %! assert (typeinfo (x), "diagonal matrix"); %! x(9) = -1; %! assert (typeinfo (x), "diagonal matrix");