Mercurial > octave
view libinterp/corefcn/rand.cc @ 22755:3a2b891d0b33
maint: Standardize Copyright formatting.
* Makefile.am, README, build-aux/check-subst-vars.in.sh,
build-aux/find-files-with-tests.sh, build-aux/mk-builtins.sh,
build-aux/mk-default-qt-settings.in.sh, build-aux/mk-f77-def.in.sh,
build-aux/mk-hg-id.sh, build-aux/mk-mxarray-h.in.sh,
build-aux/mk-octave-config-h.sh, build-aux/mk-opts.pl,
build-aux/mk-version-h.in.sh, build-aux/subst-config-vals.in.sh,
build-aux/subst-cross-config-vals.in.sh, build-aux/subst-default-vals.in.sh,
build-aux/subst-f77-isnan-macro.in.sh, build-aux/subst-script-vals.in.sh,
configure.ac, doc/interpreter/arith.txi, doc/interpreter/audio.txi,
doc/interpreter/basics.txi, doc/interpreter/bugs.txi,
doc/interpreter/container.txi, doc/interpreter/cp-idx.txi,
doc/interpreter/data.txi, doc/interpreter/debug.txi,
doc/interpreter/diagperm.txi, doc/interpreter/diffeq.txi,
doc/interpreter/errors.txi, doc/interpreter/eval.txi, doc/interpreter/expr.txi,
doc/interpreter/external.txi, doc/interpreter/fn-idx.txi,
doc/interpreter/func.txi, doc/interpreter/genpropdoc.m,
doc/interpreter/geometry.txi, doc/interpreter/geometryimages.m,
doc/interpreter/grammar.txi, doc/interpreter/gui.txi,
doc/interpreter/image.txi, doc/interpreter/install.txi,
doc/interpreter/interp.txi, doc/interpreter/interpimages.m,
doc/interpreter/intro.txi, doc/interpreter/io.txi, doc/interpreter/linalg.txi,
doc/interpreter/macros.texi, doc/interpreter/matrix.txi,
doc/interpreter/mk-doc-cache.pl, doc/interpreter/mkoctfile.1,
doc/interpreter/nonlin.txi, doc/interpreter/numbers.txi,
doc/interpreter/obsolete.txi, doc/interpreter/octave-cli.1,
doc/interpreter/octave-config.1, doc/interpreter/octave.1,
doc/interpreter/octave.css, doc/interpreter/octave.texi,
doc/interpreter/oop.txi, doc/interpreter/op-idx.txi, doc/interpreter/optim.txi,
doc/interpreter/package.txi, doc/interpreter/plot.txi,
doc/interpreter/plotimages.m, doc/interpreter/poly.txi,
doc/interpreter/preface.txi, doc/interpreter/quad.txi, doc/interpreter/set.txi,
doc/interpreter/signal.txi, doc/interpreter/sparse.txi,
doc/interpreter/sparseimages.m, doc/interpreter/splineimages.m,
doc/interpreter/stats.txi, doc/interpreter/stmt.txi,
doc/interpreter/strings.txi, doc/interpreter/system.txi,
doc/interpreter/testfun.txi, doc/interpreter/var.txi,
doc/interpreter/vectorize.txi, doc/liboctave/array.texi,
doc/liboctave/bugs.texi, doc/liboctave/cp-idx.texi, doc/liboctave/dae.texi,
doc/liboctave/diffeq.texi, doc/liboctave/error.texi, doc/liboctave/factor.texi,
doc/liboctave/fn-idx.texi, doc/liboctave/gpl.texi, doc/liboctave/install.texi,
doc/liboctave/intro.texi, doc/liboctave/liboctave.texi,
doc/liboctave/matvec.texi, doc/liboctave/nleqn.texi, doc/liboctave/nlfunc.texi,
doc/liboctave/ode.texi, doc/liboctave/optim.texi, doc/liboctave/preface.texi,
doc/liboctave/quad.texi, doc/liboctave/range.texi, doc/refcard/refcard-a4.tex,
doc/refcard/refcard-legal.tex, doc/refcard/refcard-letter.tex,
doc/refcard/refcard.tex, etc/HACKING, etc/icons/octave.appdata.xml.in,
libgui/graphics/Backend.cc, libgui/graphics/Backend.h,
libgui/graphics/BaseControl.cc, libgui/graphics/BaseControl.h,
libgui/graphics/ButtonControl.cc, libgui/graphics/ButtonControl.h,
libgui/graphics/ButtonGroup.cc, libgui/graphics/ButtonGroup.h,
libgui/graphics/Canvas.cc, libgui/graphics/Canvas.h,
libgui/graphics/CheckBoxControl.cc, libgui/graphics/CheckBoxControl.h,
libgui/graphics/Container.cc, libgui/graphics/Container.h,
libgui/graphics/ContextMenu.cc, libgui/graphics/ContextMenu.h,
libgui/graphics/EditControl.cc, libgui/graphics/EditControl.h,
libgui/graphics/Figure.cc, libgui/graphics/Figure.h,
libgui/graphics/FigureWindow.cc, libgui/graphics/FigureWindow.h,
libgui/graphics/GLCanvas.cc, libgui/graphics/GLCanvas.h,
libgui/graphics/GenericEventNotify.h, libgui/graphics/KeyMap.cc,
libgui/graphics/KeyMap.h, libgui/graphics/ListBoxControl.cc,
libgui/graphics/ListBoxControl.h, libgui/graphics/Logger.cc,
libgui/graphics/Logger.h, libgui/graphics/Menu.cc, libgui/graphics/Menu.h,
libgui/graphics/MenuContainer.h, libgui/graphics/MouseModeActionGroup.cc,
libgui/graphics/MouseModeActionGroup.h, libgui/graphics/Object.cc,
libgui/graphics/Object.h, libgui/graphics/ObjectFactory.cc,
libgui/graphics/ObjectFactory.h, libgui/graphics/ObjectProxy.cc,
libgui/graphics/ObjectProxy.h, libgui/graphics/Panel.cc,
libgui/graphics/Panel.h, libgui/graphics/PopupMenuControl.cc,
libgui/graphics/PopupMenuControl.h, libgui/graphics/PushButtonControl.cc,
libgui/graphics/PushButtonControl.h, libgui/graphics/PushTool.cc,
libgui/graphics/PushTool.h, libgui/graphics/QtHandlesUtils.cc,
libgui/graphics/QtHandlesUtils.h, libgui/graphics/RadioButtonControl.cc,
libgui/graphics/RadioButtonControl.h, libgui/graphics/SliderControl.cc,
libgui/graphics/SliderControl.h, libgui/graphics/TextControl.cc,
libgui/graphics/TextControl.h, libgui/graphics/TextEdit.cc,
libgui/graphics/TextEdit.h, libgui/graphics/ToggleButtonControl.cc,
libgui/graphics/ToggleButtonControl.h, libgui/graphics/ToggleTool.cc,
libgui/graphics/ToggleTool.h, libgui/graphics/ToolBar.cc,
libgui/graphics/ToolBar.h, libgui/graphics/ToolBarButton.cc,
libgui/graphics/ToolBarButton.h, libgui/graphics/__init_qt__.cc,
libgui/graphics/__init_qt__.h, libgui/graphics/annotation-dialog.cc,
libgui/graphics/annotation-dialog.h, libgui/graphics/gl-select.cc,
libgui/graphics/gl-select.h, libgui/src/color-picker.cc,
libgui/src/color-picker.h, libgui/src/dialog.cc, libgui/src/dialog.h,
libgui/src/documentation-dock-widget.cc,
libgui/src/documentation-dock-widget.h, libgui/src/files-dock-widget.cc,
libgui/src/files-dock-widget.h, libgui/src/find-files-dialog.cc,
libgui/src/find-files-dialog.h, libgui/src/find-files-model.cc,
libgui/src/find-files-model.h, libgui/src/history-dock-widget.cc,
libgui/src/history-dock-widget.h, libgui/src/liboctgui-build-info.h,
libgui/src/liboctgui-build-info.in.cc,
libgui/src/m-editor/file-editor-interface.h,
libgui/src/m-editor/file-editor-tab.cc, libgui/src/m-editor/file-editor-tab.h,
libgui/src/m-editor/file-editor.cc, libgui/src/m-editor/file-editor.h,
libgui/src/m-editor/find-dialog.cc, libgui/src/m-editor/find-dialog.h,
libgui/src/m-editor/marker.cc, libgui/src/m-editor/marker.h,
libgui/src/m-editor/octave-qscintilla.cc,
libgui/src/m-editor/octave-qscintilla.h,
libgui/src/m-editor/octave-txt-lexer.cc,
libgui/src/m-editor/octave-txt-lexer.h, libgui/src/main-window.cc,
libgui/src/main-window.h, libgui/src/octave-cmd.cc, libgui/src/octave-cmd.h,
libgui/src/octave-dock-widget.cc, libgui/src/octave-dock-widget.h,
libgui/src/octave-gui.cc, libgui/src/octave-gui.h,
libgui/src/octave-interpreter.cc, libgui/src/octave-interpreter.h,
libgui/src/octave-qt-link.cc, libgui/src/octave-qt-link.h,
libgui/src/qtinfo/parser.cc, libgui/src/qtinfo/parser.h,
libgui/src/qtinfo/webinfo.cc, libgui/src/qtinfo/webinfo.h,
libgui/src/resource-manager.cc, libgui/src/resource-manager.h,
libgui/src/settings-dialog.cc, libgui/src/settings-dialog.h,
libgui/src/shortcut-manager.cc, libgui/src/shortcut-manager.h,
libgui/src/terminal-dock-widget.cc, libgui/src/terminal-dock-widget.h,
libgui/src/thread-manager.cc, libgui/src/thread-manager.h,
libgui/src/welcome-wizard.cc, libgui/src/welcome-wizard.h,
libgui/src/workspace-model.cc, libgui/src/workspace-model.h,
libgui/src/workspace-view.cc, libgui/src/workspace-view.h,
libinterp/build-env.h, libinterp/build-env.in.cc, libinterp/builtins.h,
libinterp/corefcn/Cell.cc, libinterp/corefcn/Cell.h,
libinterp/corefcn/__contourc__.cc, libinterp/corefcn/__dsearchn__.cc,
libinterp/corefcn/__ichol__.cc, libinterp/corefcn/__ilu__.cc,
libinterp/corefcn/__lin_interpn__.cc, libinterp/corefcn/__luinc__.cc,
libinterp/corefcn/__magick_read__.cc, libinterp/corefcn/__pchip_deriv__.cc,
libinterp/corefcn/__qp__.cc, libinterp/corefcn/balance.cc,
libinterp/corefcn/base-text-renderer.h, libinterp/corefcn/besselj.cc,
libinterp/corefcn/betainc.cc, libinterp/corefcn/bitfcns.cc,
libinterp/corefcn/bsxfun.cc, libinterp/corefcn/c-file-ptr-stream.cc,
libinterp/corefcn/c-file-ptr-stream.h, libinterp/corefcn/call-stack.cc,
libinterp/corefcn/call-stack.h, libinterp/corefcn/cdisplay.c,
libinterp/corefcn/cdisplay.h, libinterp/corefcn/cellfun.cc,
libinterp/corefcn/coct-hdf5-types.c, libinterp/corefcn/colloc.cc,
libinterp/corefcn/comment-list.cc, libinterp/corefcn/comment-list.h,
libinterp/corefcn/conv2.cc, libinterp/corefcn/daspk.cc,
libinterp/corefcn/dasrt.cc, libinterp/corefcn/dassl.cc,
libinterp/corefcn/data.cc, libinterp/corefcn/data.h,
libinterp/corefcn/debug.cc, libinterp/corefcn/debug.h,
libinterp/corefcn/defaults.cc, libinterp/corefcn/defaults.in.h,
libinterp/corefcn/defun-dld.h, libinterp/corefcn/defun-int.h,
libinterp/corefcn/defun.cc, libinterp/corefcn/defun.h,
libinterp/corefcn/det.cc, libinterp/corefcn/dirfns.cc,
libinterp/corefcn/dirfns.h, libinterp/corefcn/display.cc,
libinterp/corefcn/display.h, libinterp/corefcn/dlmread.cc,
libinterp/corefcn/dot.cc, libinterp/corefcn/dynamic-ld.cc,
libinterp/corefcn/dynamic-ld.h, libinterp/corefcn/eig.cc,
libinterp/corefcn/ellipj.cc, libinterp/corefcn/error.cc,
libinterp/corefcn/error.h, libinterp/corefcn/errwarn.cc,
libinterp/corefcn/errwarn.h, libinterp/corefcn/event-queue.cc,
libinterp/corefcn/event-queue.h, libinterp/corefcn/fft.cc,
libinterp/corefcn/fft2.cc, libinterp/corefcn/fftn.cc,
libinterp/corefcn/file-io.cc, libinterp/corefcn/file-io.h,
libinterp/corefcn/filter.cc, libinterp/corefcn/find.cc,
libinterp/corefcn/ft-text-renderer.cc, libinterp/corefcn/ft-text-renderer.h,
libinterp/corefcn/gammainc.cc, libinterp/corefcn/gcd.cc,
libinterp/corefcn/getgrent.cc, libinterp/corefcn/getpwent.cc,
libinterp/corefcn/getrusage.cc, libinterp/corefcn/givens.cc,
libinterp/corefcn/gl-render.cc, libinterp/corefcn/gl-render.h,
libinterp/corefcn/gl2ps-print.cc, libinterp/corefcn/gl2ps-print.h,
libinterp/corefcn/graphics.cc, libinterp/corefcn/graphics.in.h,
libinterp/corefcn/gripes.cc, libinterp/corefcn/gripes.h,
libinterp/corefcn/gsvd.cc, libinterp/corefcn/hash.cc,
libinterp/corefcn/help.cc, libinterp/corefcn/help.h, libinterp/corefcn/hess.cc,
libinterp/corefcn/hex2num.cc, libinterp/corefcn/hook-fcn.cc,
libinterp/corefcn/hook-fcn.h, libinterp/corefcn/input.cc,
libinterp/corefcn/input.h, libinterp/corefcn/interpreter.cc,
libinterp/corefcn/interpreter.h, libinterp/corefcn/inv.cc,
libinterp/corefcn/jit-ir.cc, libinterp/corefcn/jit-ir.h,
libinterp/corefcn/jit-typeinfo.cc, libinterp/corefcn/jit-typeinfo.h,
libinterp/corefcn/jit-util.cc, libinterp/corefcn/jit-util.h,
libinterp/corefcn/kron.cc, libinterp/corefcn/load-path.cc,
libinterp/corefcn/load-path.h, libinterp/corefcn/load-save.cc,
libinterp/corefcn/load-save.h, libinterp/corefcn/lookup.cc,
libinterp/corefcn/ls-ascii-helper.cc, libinterp/corefcn/ls-ascii-helper.h,
libinterp/corefcn/ls-hdf5.cc, libinterp/corefcn/ls-hdf5.h,
libinterp/corefcn/ls-mat-ascii.cc, libinterp/corefcn/ls-mat-ascii.h,
libinterp/corefcn/ls-mat4.cc, libinterp/corefcn/ls-mat4.h,
libinterp/corefcn/ls-mat5.cc, libinterp/corefcn/ls-mat5.h,
libinterp/corefcn/ls-oct-binary.cc, libinterp/corefcn/ls-oct-binary.h,
libinterp/corefcn/ls-oct-text.cc, libinterp/corefcn/ls-oct-text.h,
libinterp/corefcn/ls-utils.cc, libinterp/corefcn/ls-utils.h,
libinterp/corefcn/lsode.cc, libinterp/corefcn/lu.cc,
libinterp/corefcn/mappers.cc, libinterp/corefcn/matrix_type.cc,
libinterp/corefcn/max.cc, libinterp/corefcn/mex.cc, libinterp/corefcn/mex.h,
libinterp/corefcn/mexproto.h, libinterp/corefcn/mgorth.cc,
libinterp/corefcn/mxarray.in.h, libinterp/corefcn/nproc.cc,
libinterp/corefcn/oct-errno.h, libinterp/corefcn/oct-errno.in.cc,
libinterp/corefcn/oct-fstrm.cc, libinterp/corefcn/oct-fstrm.h,
libinterp/corefcn/oct-handle.h, libinterp/corefcn/oct-hdf5-types.cc,
libinterp/corefcn/oct-hdf5-types.h, libinterp/corefcn/oct-hdf5.h,
libinterp/corefcn/oct-hist.cc, libinterp/corefcn/oct-hist.h,
libinterp/corefcn/oct-iostrm.cc, libinterp/corefcn/oct-iostrm.h,
libinterp/corefcn/oct-lvalue.cc, libinterp/corefcn/oct-lvalue.h,
libinterp/corefcn/oct-map.cc, libinterp/corefcn/oct-map.h,
libinterp/corefcn/oct-obj.h, libinterp/corefcn/oct-opengl.h,
libinterp/corefcn/oct-prcstrm.cc, libinterp/corefcn/oct-prcstrm.h,
libinterp/corefcn/oct-procbuf.cc, libinterp/corefcn/oct-procbuf.h,
libinterp/corefcn/oct-stdstrm.h, libinterp/corefcn/oct-stream.cc,
libinterp/corefcn/oct-stream.h, libinterp/corefcn/oct-strstrm.cc,
libinterp/corefcn/oct-strstrm.h, libinterp/corefcn/oct-tex-lexer.in.ll,
libinterp/corefcn/oct-tex-parser.in.yy, libinterp/corefcn/oct.h,
libinterp/corefcn/octave-default-image.h, libinterp/corefcn/octave-link.cc,
libinterp/corefcn/octave-link.h,
libinterp/corefcn/octave-preserve-stream-state.h,
libinterp/corefcn/ordschur.cc, libinterp/corefcn/pager.cc,
libinterp/corefcn/pager.h, libinterp/corefcn/pinv.cc,
libinterp/corefcn/pr-output.cc, libinterp/corefcn/pr-output.h,
libinterp/corefcn/procstream.cc, libinterp/corefcn/procstream.h,
libinterp/corefcn/profiler.cc, libinterp/corefcn/profiler.h,
libinterp/corefcn/psi.cc, libinterp/corefcn/pt-jit.cc,
libinterp/corefcn/pt-jit.h, libinterp/corefcn/quad.cc,
libinterp/corefcn/quadcc.cc, libinterp/corefcn/qz.cc,
libinterp/corefcn/rand.cc, libinterp/corefcn/rcond.cc,
libinterp/corefcn/regexp.cc, libinterp/corefcn/schur.cc,
libinterp/corefcn/sighandlers.cc, libinterp/corefcn/sighandlers.h,
libinterp/corefcn/sparse-xdiv.cc, libinterp/corefcn/sparse-xdiv.h,
libinterp/corefcn/sparse-xpow.cc, libinterp/corefcn/sparse-xpow.h,
libinterp/corefcn/sparse.cc, libinterp/corefcn/spparms.cc,
libinterp/corefcn/sqrtm.cc, libinterp/corefcn/str2double.cc,
libinterp/corefcn/strfind.cc, libinterp/corefcn/strfns.cc,
libinterp/corefcn/sub2ind.cc, libinterp/corefcn/svd.cc,
libinterp/corefcn/sylvester.cc, libinterp/corefcn/symtab.cc,
libinterp/corefcn/symtab.h, libinterp/corefcn/syscalls.cc,
libinterp/corefcn/sysdep.cc, libinterp/corefcn/sysdep.h,
libinterp/corefcn/text-renderer.cc, libinterp/corefcn/text-renderer.h,
libinterp/corefcn/time.cc, libinterp/corefcn/toplev.cc,
libinterp/corefcn/toplev.h, libinterp/corefcn/tril.cc,
libinterp/corefcn/tsearch.cc, libinterp/corefcn/txt-eng.cc,
libinterp/corefcn/txt-eng.h, libinterp/corefcn/typecast.cc,
libinterp/corefcn/urlwrite.cc, libinterp/corefcn/utils.cc,
libinterp/corefcn/utils.h, libinterp/corefcn/variables.cc,
libinterp/corefcn/variables.h, libinterp/corefcn/workspace-element.h,
libinterp/corefcn/xdiv.cc, libinterp/corefcn/xdiv.h,
libinterp/corefcn/xnorm.cc, libinterp/corefcn/xnorm.h,
libinterp/corefcn/xpow.cc, libinterp/corefcn/xpow.h,
libinterp/corefcn/zfstream.cc, libinterp/corefcn/zfstream.h,
libinterp/deprecated-config.h, libinterp/dldfcn/__delaunayn__.cc,
libinterp/dldfcn/__eigs__.cc, libinterp/dldfcn/__fltk_uigetfile__.cc,
libinterp/dldfcn/__glpk__.cc, libinterp/dldfcn/__init_fltk__.cc,
libinterp/dldfcn/__init_gnuplot__.cc, libinterp/dldfcn/__osmesa_print__.cc,
libinterp/dldfcn/__voronoi__.cc, libinterp/dldfcn/amd.cc,
libinterp/dldfcn/audiodevinfo.cc, libinterp/dldfcn/audioread.cc,
libinterp/dldfcn/ccolamd.cc, libinterp/dldfcn/chol.cc,
libinterp/dldfcn/colamd.cc, libinterp/dldfcn/convhulln.cc,
libinterp/dldfcn/dmperm.cc, libinterp/dldfcn/fftw.cc, libinterp/dldfcn/gzip.cc,
libinterp/dldfcn/oct-qhull.h, libinterp/dldfcn/qr.cc,
libinterp/dldfcn/symbfact.cc, libinterp/dldfcn/symrcm.cc, libinterp/gendoc.pl,
libinterp/genprops.awk, libinterp/liboctinterp-build-info.h,
libinterp/liboctinterp-build-info.in.cc, libinterp/mk-errno-list,
libinterp/mk-pkg-add, libinterp/mkops, libinterp/octave-value/ov-base-diag.cc,
libinterp/octave-value/ov-base-diag.h, libinterp/octave-value/ov-base-int.cc,
libinterp/octave-value/ov-base-int.h, libinterp/octave-value/ov-base-mat.cc,
libinterp/octave-value/ov-base-mat.h, libinterp/octave-value/ov-base-scalar.cc,
libinterp/octave-value/ov-base-scalar.h,
libinterp/octave-value/ov-base-sparse.cc,
libinterp/octave-value/ov-base-sparse.h, libinterp/octave-value/ov-base.cc,
libinterp/octave-value/ov-base.h, libinterp/octave-value/ov-bool-mat.cc,
libinterp/octave-value/ov-bool-mat.h, libinterp/octave-value/ov-bool-sparse.cc,
libinterp/octave-value/ov-bool-sparse.h, libinterp/octave-value/ov-bool.cc,
libinterp/octave-value/ov-bool.h, libinterp/octave-value/ov-builtin.cc,
libinterp/octave-value/ov-builtin.h, libinterp/octave-value/ov-cell.cc,
libinterp/octave-value/ov-cell.h, libinterp/octave-value/ov-ch-mat.cc,
libinterp/octave-value/ov-ch-mat.h, libinterp/octave-value/ov-class.cc,
libinterp/octave-value/ov-class.h, libinterp/octave-value/ov-classdef.cc,
libinterp/octave-value/ov-classdef.h, libinterp/octave-value/ov-colon.cc,
libinterp/octave-value/ov-colon.h, libinterp/octave-value/ov-complex.cc,
libinterp/octave-value/ov-complex.h, libinterp/octave-value/ov-cs-list.cc,
libinterp/octave-value/ov-cs-list.h, libinterp/octave-value/ov-cx-diag.cc,
libinterp/octave-value/ov-cx-diag.h, libinterp/octave-value/ov-cx-mat.cc,
libinterp/octave-value/ov-cx-mat.h, libinterp/octave-value/ov-cx-sparse.cc,
libinterp/octave-value/ov-cx-sparse.h, libinterp/octave-value/ov-dld-fcn.cc,
libinterp/octave-value/ov-dld-fcn.h, libinterp/octave-value/ov-fcn-handle.cc,
libinterp/octave-value/ov-fcn-handle.h,
libinterp/octave-value/ov-fcn-inline.cc,
libinterp/octave-value/ov-fcn-inline.h, libinterp/octave-value/ov-fcn.cc,
libinterp/octave-value/ov-fcn.h, libinterp/octave-value/ov-float.cc,
libinterp/octave-value/ov-float.h, libinterp/octave-value/ov-flt-complex.cc,
libinterp/octave-value/ov-flt-complex.h,
libinterp/octave-value/ov-flt-cx-diag.cc,
libinterp/octave-value/ov-flt-cx-diag.h,
libinterp/octave-value/ov-flt-cx-mat.cc,
libinterp/octave-value/ov-flt-cx-mat.h,
libinterp/octave-value/ov-flt-re-diag.cc,
libinterp/octave-value/ov-flt-re-diag.h,
libinterp/octave-value/ov-flt-re-mat.cc,
libinterp/octave-value/ov-flt-re-mat.h, libinterp/octave-value/ov-int-traits.h,
libinterp/octave-value/ov-int16.cc, libinterp/octave-value/ov-int16.h,
libinterp/octave-value/ov-int32.cc, libinterp/octave-value/ov-int32.h,
libinterp/octave-value/ov-int64.cc, libinterp/octave-value/ov-int64.h,
libinterp/octave-value/ov-int8.cc, libinterp/octave-value/ov-int8.h,
libinterp/octave-value/ov-intx.h, libinterp/octave-value/ov-java.cc,
libinterp/octave-value/ov-java.h, libinterp/octave-value/ov-lazy-idx.cc,
libinterp/octave-value/ov-lazy-idx.h, libinterp/octave-value/ov-mex-fcn.cc,
libinterp/octave-value/ov-mex-fcn.h, libinterp/octave-value/ov-null-mat.cc,
libinterp/octave-value/ov-null-mat.h, libinterp/octave-value/ov-oncleanup.cc,
libinterp/octave-value/ov-oncleanup.h, libinterp/octave-value/ov-perm.cc,
libinterp/octave-value/ov-perm.h, libinterp/octave-value/ov-range.cc,
libinterp/octave-value/ov-range.h, libinterp/octave-value/ov-re-diag.cc,
libinterp/octave-value/ov-re-diag.h, libinterp/octave-value/ov-re-mat.cc,
libinterp/octave-value/ov-re-mat.h, libinterp/octave-value/ov-re-sparse.cc,
libinterp/octave-value/ov-re-sparse.h, libinterp/octave-value/ov-scalar.cc,
libinterp/octave-value/ov-scalar.h, libinterp/octave-value/ov-str-mat.cc,
libinterp/octave-value/ov-str-mat.h, libinterp/octave-value/ov-struct.cc,
libinterp/octave-value/ov-struct.h, libinterp/octave-value/ov-typeinfo.cc,
libinterp/octave-value/ov-typeinfo.h, libinterp/octave-value/ov-uint16.cc,
libinterp/octave-value/ov-uint16.h, libinterp/octave-value/ov-uint32.cc,
libinterp/octave-value/ov-uint32.h, libinterp/octave-value/ov-uint64.cc,
libinterp/octave-value/ov-uint64.h, libinterp/octave-value/ov-uint8.cc,
libinterp/octave-value/ov-uint8.h, libinterp/octave-value/ov-usr-fcn.cc,
libinterp/octave-value/ov-usr-fcn.h, libinterp/octave-value/ov.cc,
libinterp/octave-value/ov.h, libinterp/octave-value/ovl.cc,
libinterp/octave-value/ovl.h, libinterp/octave.cc, libinterp/octave.h,
libinterp/op-kw-docs, libinterp/operators/op-b-b.cc,
libinterp/operators/op-b-bm.cc, libinterp/operators/op-b-sbm.cc,
libinterp/operators/op-bm-b.cc, libinterp/operators/op-bm-bm.cc,
libinterp/operators/op-bm-sbm.cc, libinterp/operators/op-cdm-cdm.cc,
libinterp/operators/op-cdm-cm.cc, libinterp/operators/op-cdm-cs.cc,
libinterp/operators/op-cdm-dm.cc, libinterp/operators/op-cdm-m.cc,
libinterp/operators/op-cdm-s.cc, libinterp/operators/op-cell.cc,
libinterp/operators/op-chm.cc, libinterp/operators/op-class.cc,
libinterp/operators/op-cm-cdm.cc, libinterp/operators/op-cm-cm.cc,
libinterp/operators/op-cm-cs.cc, libinterp/operators/op-cm-dm.cc,
libinterp/operators/op-cm-m.cc, libinterp/operators/op-cm-pm.cc,
libinterp/operators/op-cm-s.cc, libinterp/operators/op-cm-scm.cc,
libinterp/operators/op-cm-sm.cc, libinterp/operators/op-cs-cm.cc,
libinterp/operators/op-cs-cs.cc, libinterp/operators/op-cs-m.cc,
libinterp/operators/op-cs-s.cc, libinterp/operators/op-cs-scm.cc,
libinterp/operators/op-cs-sm.cc, libinterp/operators/op-dm-cdm.cc,
libinterp/operators/op-dm-cm.cc, libinterp/operators/op-dm-cs.cc,
libinterp/operators/op-dm-dm.cc, libinterp/operators/op-dm-m.cc,
libinterp/operators/op-dm-s.cc, libinterp/operators/op-dm-scm.cc,
libinterp/operators/op-dm-sm.cc, libinterp/operators/op-dm-template.cc,
libinterp/operators/op-dms-template.cc, libinterp/operators/op-fcdm-fcdm.cc,
libinterp/operators/op-fcdm-fcm.cc, libinterp/operators/op-fcdm-fcs.cc,
libinterp/operators/op-fcdm-fdm.cc, libinterp/operators/op-fcdm-fm.cc,
libinterp/operators/op-fcdm-fs.cc, libinterp/operators/op-fcm-fcdm.cc,
libinterp/operators/op-fcm-fcm.cc, libinterp/operators/op-fcm-fcs.cc,
libinterp/operators/op-fcm-fdm.cc, libinterp/operators/op-fcm-fm.cc,
libinterp/operators/op-fcm-fs.cc, libinterp/operators/op-fcm-pm.cc,
libinterp/operators/op-fcn.cc, libinterp/operators/op-fcs-fcm.cc,
libinterp/operators/op-fcs-fcs.cc, libinterp/operators/op-fcs-fm.cc,
libinterp/operators/op-fcs-fs.cc, libinterp/operators/op-fdm-fcdm.cc,
libinterp/operators/op-fdm-fcm.cc, libinterp/operators/op-fdm-fcs.cc,
libinterp/operators/op-fdm-fdm.cc, libinterp/operators/op-fdm-fm.cc,
libinterp/operators/op-fdm-fs.cc, libinterp/operators/op-fm-fcdm.cc,
libinterp/operators/op-fm-fcm.cc, libinterp/operators/op-fm-fcs.cc,
libinterp/operators/op-fm-fdm.cc, libinterp/operators/op-fm-fm.cc,
libinterp/operators/op-fm-fs.cc, libinterp/operators/op-fm-pm.cc,
libinterp/operators/op-fs-fcm.cc, libinterp/operators/op-fs-fcs.cc,
libinterp/operators/op-fs-fm.cc, libinterp/operators/op-fs-fs.cc,
libinterp/operators/op-i16-i16.cc, libinterp/operators/op-i32-i32.cc,
libinterp/operators/op-i64-i64.cc, libinterp/operators/op-i8-i8.cc,
libinterp/operators/op-int-concat.cc, libinterp/operators/op-int.h,
libinterp/operators/op-m-cdm.cc, libinterp/operators/op-m-cm.cc,
libinterp/operators/op-m-cs.cc, libinterp/operators/op-m-dm.cc,
libinterp/operators/op-m-m.cc, libinterp/operators/op-m-pm.cc,
libinterp/operators/op-m-s.cc, libinterp/operators/op-m-scm.cc,
libinterp/operators/op-m-sm.cc, libinterp/operators/op-pm-cm.cc,
libinterp/operators/op-pm-fcm.cc, libinterp/operators/op-pm-fm.cc,
libinterp/operators/op-pm-m.cc, libinterp/operators/op-pm-pm.cc,
libinterp/operators/op-pm-scm.cc, libinterp/operators/op-pm-sm.cc,
libinterp/operators/op-pm-template.cc, libinterp/operators/op-range.cc,
libinterp/operators/op-s-cm.cc, libinterp/operators/op-s-cs.cc,
libinterp/operators/op-s-m.cc, libinterp/operators/op-s-s.cc,
libinterp/operators/op-s-scm.cc, libinterp/operators/op-s-sm.cc,
libinterp/operators/op-sbm-b.cc, libinterp/operators/op-sbm-bm.cc,
libinterp/operators/op-sbm-sbm.cc, libinterp/operators/op-scm-cm.cc,
libinterp/operators/op-scm-cs.cc, libinterp/operators/op-scm-m.cc,
libinterp/operators/op-scm-s.cc, libinterp/operators/op-scm-scm.cc,
libinterp/operators/op-scm-sm.cc, libinterp/operators/op-sm-cm.cc,
libinterp/operators/op-sm-cs.cc, libinterp/operators/op-sm-m.cc,
libinterp/operators/op-sm-s.cc, libinterp/operators/op-sm-scm.cc,
libinterp/operators/op-sm-sm.cc, libinterp/operators/op-str-m.cc,
libinterp/operators/op-str-s.cc, libinterp/operators/op-str-str.cc,
libinterp/operators/op-struct.cc, libinterp/operators/op-ui16-ui16.cc,
libinterp/operators/op-ui32-ui32.cc, libinterp/operators/op-ui64-ui64.cc,
libinterp/operators/op-ui8-ui8.cc, libinterp/operators/ops.h,
libinterp/options-usage.h, libinterp/parse-tree/lex.h,
libinterp/parse-tree/lex.ll, libinterp/parse-tree/oct-parse.in.yy,
libinterp/parse-tree/octave.gperf, libinterp/parse-tree/parse.h,
libinterp/parse-tree/pt-all.h, libinterp/parse-tree/pt-arg-list.cc,
libinterp/parse-tree/pt-arg-list.h, libinterp/parse-tree/pt-array-list.cc,
libinterp/parse-tree/pt-array-list.h, libinterp/parse-tree/pt-assign.cc,
libinterp/parse-tree/pt-assign.h, libinterp/parse-tree/pt-binop.cc,
libinterp/parse-tree/pt-binop.h, libinterp/parse-tree/pt-bp.cc,
libinterp/parse-tree/pt-bp.h, libinterp/parse-tree/pt-cbinop.cc,
libinterp/parse-tree/pt-cbinop.h, libinterp/parse-tree/pt-cell.cc,
libinterp/parse-tree/pt-cell.h, libinterp/parse-tree/pt-check.cc,
libinterp/parse-tree/pt-check.h, libinterp/parse-tree/pt-classdef.cc,
libinterp/parse-tree/pt-classdef.h, libinterp/parse-tree/pt-cmd.cc,
libinterp/parse-tree/pt-cmd.h, libinterp/parse-tree/pt-colon.cc,
libinterp/parse-tree/pt-colon.h, libinterp/parse-tree/pt-const.cc,
libinterp/parse-tree/pt-const.h, libinterp/parse-tree/pt-decl.cc,
libinterp/parse-tree/pt-decl.h, libinterp/parse-tree/pt-eval.cc,
libinterp/parse-tree/pt-eval.h, libinterp/parse-tree/pt-except.cc,
libinterp/parse-tree/pt-except.h, libinterp/parse-tree/pt-exp.cc,
libinterp/parse-tree/pt-exp.h, libinterp/parse-tree/pt-fcn-handle.cc,
libinterp/parse-tree/pt-fcn-handle.h, libinterp/parse-tree/pt-funcall.cc,
libinterp/parse-tree/pt-funcall.h, libinterp/parse-tree/pt-id.cc,
libinterp/parse-tree/pt-id.h, libinterp/parse-tree/pt-idx.cc,
libinterp/parse-tree/pt-idx.h, libinterp/parse-tree/pt-jump.cc,
libinterp/parse-tree/pt-jump.h, libinterp/parse-tree/pt-loop.cc,
libinterp/parse-tree/pt-loop.h, libinterp/parse-tree/pt-mat.cc,
libinterp/parse-tree/pt-mat.h, libinterp/parse-tree/pt-misc.cc,
libinterp/parse-tree/pt-misc.h, libinterp/parse-tree/pt-pr-code.cc,
libinterp/parse-tree/pt-pr-code.h, libinterp/parse-tree/pt-select.cc,
libinterp/parse-tree/pt-select.h, libinterp/parse-tree/pt-stmt.cc,
libinterp/parse-tree/pt-stmt.h, libinterp/parse-tree/pt-unop.cc,
libinterp/parse-tree/pt-unop.h, libinterp/parse-tree/pt-walk.h,
libinterp/parse-tree/pt.cc, libinterp/parse-tree/pt.h,
libinterp/parse-tree/token.cc, libinterp/parse-tree/token.h,
libinterp/template-inst/Array-jit.cc, libinterp/template-inst/Array-tc.cc,
libinterp/version.cc, libinterp/version.in.h, liboctave/array/Array-C.cc,
liboctave/array/Array-b.cc, liboctave/array/Array-ch.cc,
liboctave/array/Array-d.cc, liboctave/array/Array-f.cc,
liboctave/array/Array-fC.cc, liboctave/array/Array-i.cc,
liboctave/array/Array-idx-vec.cc, liboctave/array/Array-s.cc,
liboctave/array/Array-str.cc, liboctave/array/Array-util.cc,
liboctave/array/Array-util.h, liboctave/array/Array-voidp.cc,
liboctave/array/Array.cc, liboctave/array/Array.h,
liboctave/array/CColVector.cc, liboctave/array/CColVector.h,
liboctave/array/CDiagMatrix.cc, liboctave/array/CDiagMatrix.h,
liboctave/array/CMatrix.cc, liboctave/array/CMatrix.h,
liboctave/array/CNDArray.cc, liboctave/array/CNDArray.h,
liboctave/array/CRowVector.cc, liboctave/array/CRowVector.h,
liboctave/array/CSparse.cc, liboctave/array/CSparse.h,
liboctave/array/DiagArray2.cc, liboctave/array/DiagArray2.h,
liboctave/array/MArray-C.cc, liboctave/array/MArray-d.cc,
liboctave/array/MArray-f.cc, liboctave/array/MArray-fC.cc,
liboctave/array/MArray-i.cc, liboctave/array/MArray-s.cc,
liboctave/array/MArray.cc, liboctave/array/MArray.h,
liboctave/array/MDiagArray2.cc, liboctave/array/MDiagArray2.h,
liboctave/array/MSparse-C.cc, liboctave/array/MSparse-d.cc,
liboctave/array/MSparse.cc, liboctave/array/MSparse.h,
liboctave/array/Matrix.h, liboctave/array/MatrixType.cc,
liboctave/array/MatrixType.h, liboctave/array/PermMatrix.cc,
liboctave/array/PermMatrix.h, liboctave/array/Range.cc,
liboctave/array/Range.h, liboctave/array/Sparse-C.cc,
liboctave/array/Sparse-b.cc, liboctave/array/Sparse-d.cc,
liboctave/array/Sparse.cc, liboctave/array/Sparse.h,
liboctave/array/boolMatrix.cc, liboctave/array/boolMatrix.h,
liboctave/array/boolNDArray.cc, liboctave/array/boolNDArray.h,
liboctave/array/boolSparse.cc, liboctave/array/boolSparse.h,
liboctave/array/chMatrix.cc, liboctave/array/chMatrix.h,
liboctave/array/chNDArray.cc, liboctave/array/chNDArray.h,
liboctave/array/dColVector.cc, liboctave/array/dColVector.h,
liboctave/array/dDiagMatrix.cc, liboctave/array/dDiagMatrix.h,
liboctave/array/dMatrix.cc, liboctave/array/dMatrix.h,
liboctave/array/dNDArray.cc, liboctave/array/dNDArray.h,
liboctave/array/dRowVector.cc, liboctave/array/dRowVector.h,
liboctave/array/dSparse.cc, liboctave/array/dSparse.h,
liboctave/array/dim-vector.cc, liboctave/array/dim-vector.h,
liboctave/array/fCColVector.cc, liboctave/array/fCColVector.h,
liboctave/array/fCDiagMatrix.cc, liboctave/array/fCDiagMatrix.h,
liboctave/array/fCMatrix.cc, liboctave/array/fCMatrix.h,
liboctave/array/fCNDArray.cc, liboctave/array/fCNDArray.h,
liboctave/array/fCRowVector.cc, liboctave/array/fCRowVector.h,
liboctave/array/fColVector.cc, liboctave/array/fColVector.h,
liboctave/array/fDiagMatrix.cc, liboctave/array/fDiagMatrix.h,
liboctave/array/fMatrix.cc, liboctave/array/fMatrix.h,
liboctave/array/fNDArray.cc, liboctave/array/fNDArray.h,
liboctave/array/fRowVector.cc, liboctave/array/fRowVector.h,
liboctave/array/idx-vector.cc, liboctave/array/idx-vector.h,
liboctave/array/int16NDArray.cc, liboctave/array/int16NDArray.h,
liboctave/array/int32NDArray.cc, liboctave/array/int32NDArray.h,
liboctave/array/int64NDArray.cc, liboctave/array/int64NDArray.h,
liboctave/array/int8NDArray.cc, liboctave/array/int8NDArray.h,
liboctave/array/intNDArray.cc, liboctave/array/intNDArray.h,
liboctave/array/uint16NDArray.cc, liboctave/array/uint16NDArray.h,
liboctave/array/uint32NDArray.cc, liboctave/array/uint32NDArray.h,
liboctave/array/uint64NDArray.cc, liboctave/array/uint64NDArray.h,
liboctave/array/uint8NDArray.cc, liboctave/array/uint8NDArray.h,
liboctave/cruft/misc/blaswrap.c, liboctave/cruft/misc/cquit.c,
liboctave/cruft/misc/f77-extern.cc, liboctave/cruft/misc/f77-fcn.c,
liboctave/cruft/misc/f77-fcn.h, liboctave/cruft/misc/lo-error.c,
liboctave/cruft/misc/lo-error.h, liboctave/cruft/misc/quit.cc,
liboctave/cruft/misc/quit.h, liboctave/liboctave-build-info.h,
liboctave/liboctave-build-info.in.cc, liboctave/numeric/CollocWt.cc,
liboctave/numeric/CollocWt.h, liboctave/numeric/DAE.h,
liboctave/numeric/DAEFunc.h, liboctave/numeric/DAERT.h,
liboctave/numeric/DAERTFunc.h, liboctave/numeric/DASPK-opts.in,
liboctave/numeric/DASPK.cc, liboctave/numeric/DASPK.h,
liboctave/numeric/DASRT-opts.in, liboctave/numeric/DASRT.cc,
liboctave/numeric/DASRT.h, liboctave/numeric/DASSL-opts.in,
liboctave/numeric/DASSL.cc, liboctave/numeric/DASSL.h, liboctave/numeric/DET.h,
liboctave/numeric/EIG.cc, liboctave/numeric/EIG.h,
liboctave/numeric/LSODE-opts.in, liboctave/numeric/LSODE.cc,
liboctave/numeric/LSODE.h, liboctave/numeric/ODE.h,
liboctave/numeric/ODEFunc.h, liboctave/numeric/ODES.cc,
liboctave/numeric/ODES.h, liboctave/numeric/ODESFunc.h,
liboctave/numeric/Quad-opts.in, liboctave/numeric/Quad.cc,
liboctave/numeric/Quad.h, liboctave/numeric/aepbalance.cc,
liboctave/numeric/aepbalance.h, liboctave/numeric/base-dae.h,
liboctave/numeric/base-de.h, liboctave/numeric/base-min.h,
liboctave/numeric/bsxfun-decl.h, liboctave/numeric/bsxfun-defs.cc,
liboctave/numeric/bsxfun.h, liboctave/numeric/chol.cc,
liboctave/numeric/chol.h, liboctave/numeric/eigs-base.cc,
liboctave/numeric/eigs-base.h, liboctave/numeric/fEIG.cc,
liboctave/numeric/fEIG.h, liboctave/numeric/gepbalance.cc,
liboctave/numeric/gepbalance.h, liboctave/numeric/gsvd.cc,
liboctave/numeric/gsvd.h, liboctave/numeric/hess.cc, liboctave/numeric/hess.h,
liboctave/numeric/lo-amos-proto.h, liboctave/numeric/lo-arpack-proto.h,
liboctave/numeric/lo-blas-proto.h, liboctave/numeric/lo-fftpack-proto.h,
liboctave/numeric/lo-lapack-proto.h, liboctave/numeric/lo-mappers.cc,
liboctave/numeric/lo-mappers.h, liboctave/numeric/lo-qrupdate-proto.h,
liboctave/numeric/lo-ranlib-proto.h, liboctave/numeric/lo-slatec-proto.h,
liboctave/numeric/lo-specfun.cc, liboctave/numeric/lo-specfun.h,
liboctave/numeric/lu.cc, liboctave/numeric/lu.h,
liboctave/numeric/oct-convn.cc, liboctave/numeric/oct-convn.h,
liboctave/numeric/oct-fftw.cc, liboctave/numeric/oct-fftw.h,
liboctave/numeric/oct-norm.cc, liboctave/numeric/oct-norm.h,
liboctave/numeric/oct-rand.cc, liboctave/numeric/oct-rand.h,
liboctave/numeric/oct-spparms.cc, liboctave/numeric/oct-spparms.h,
liboctave/numeric/qr.cc, liboctave/numeric/qr.h, liboctave/numeric/qrp.cc,
liboctave/numeric/qrp.h, liboctave/numeric/randgamma.cc,
liboctave/numeric/randgamma.h, liboctave/numeric/randmtzig.cc,
liboctave/numeric/randmtzig.h, liboctave/numeric/randpoisson.cc,
liboctave/numeric/randpoisson.h, liboctave/numeric/schur.cc,
liboctave/numeric/schur.h, liboctave/numeric/sparse-chol.cc,
liboctave/numeric/sparse-chol.h, liboctave/numeric/sparse-dmsolve.cc,
liboctave/numeric/sparse-dmsolve.h, liboctave/numeric/sparse-lu.cc,
liboctave/numeric/sparse-lu.h, liboctave/numeric/sparse-qr.cc,
liboctave/numeric/sparse-qr.h, liboctave/numeric/svd.cc,
liboctave/numeric/svd.h, liboctave/operators/Sparse-diag-op-defs.h,
liboctave/operators/Sparse-op-decls.h, liboctave/operators/Sparse-op-defs.h,
liboctave/operators/Sparse-perm-op-defs.h, liboctave/operators/mk-ops.awk,
liboctave/operators/mx-base.h, liboctave/operators/mx-defs.h,
liboctave/operators/mx-ext.h, liboctave/operators/mx-inlines.cc,
liboctave/operators/mx-op-decl.h, liboctave/operators/mx-op-defs.h,
liboctave/operators/mx-ops, liboctave/operators/smx-ops,
liboctave/operators/vx-ops, liboctave/system/child-list.cc,
liboctave/system/child-list.h, liboctave/system/dir-ops.cc,
liboctave/system/dir-ops.h, liboctave/system/file-ops.cc,
liboctave/system/file-ops.h, liboctave/system/file-stat.cc,
liboctave/system/file-stat.h, liboctave/system/lo-sysdep.cc,
liboctave/system/lo-sysdep.h, liboctave/system/mach-info.cc,
liboctave/system/mach-info.h, liboctave/system/oct-env.cc,
liboctave/system/oct-env.h, liboctave/system/oct-group.cc,
liboctave/system/oct-group.h, liboctave/system/oct-passwd.cc,
liboctave/system/oct-passwd.h, liboctave/system/oct-syscalls.cc,
liboctave/system/oct-syscalls.h, liboctave/system/oct-time.cc,
liboctave/system/oct-time.h, liboctave/system/oct-uname.cc,
liboctave/system/oct-uname.h, liboctave/util/action-container.h,
liboctave/util/base-list.h, liboctave/util/byte-swap.h,
liboctave/util/caseless-str.h, liboctave/util/cmd-edit.cc,
liboctave/util/cmd-edit.h, liboctave/util/cmd-hist.cc,
liboctave/util/cmd-hist.h, liboctave/util/data-conv.cc,
liboctave/util/data-conv.h, liboctave/util/f2c-main.c,
liboctave/util/functor.h, liboctave/util/glob-match.cc,
liboctave/util/glob-match.h, liboctave/util/kpse.cc, liboctave/util/kpse.h,
liboctave/util/lo-array-errwarn.cc, liboctave/util/lo-array-errwarn.h,
liboctave/util/lo-array-gripes.cc, liboctave/util/lo-array-gripes.h,
liboctave/util/lo-cutils.c, liboctave/util/lo-cutils.h,
liboctave/util/lo-hash.cc, liboctave/util/lo-hash.h, liboctave/util/lo-ieee.cc,
liboctave/util/lo-ieee.h, liboctave/util/lo-macros.h, liboctave/util/lo-math.h,
liboctave/util/lo-regexp.cc, liboctave/util/lo-regexp.h,
liboctave/util/lo-traits.h, liboctave/util/lo-utils.cc,
liboctave/util/lo-utils.h, liboctave/util/oct-alloc.h,
liboctave/util/oct-base64.cc, liboctave/util/oct-base64.h,
liboctave/util/oct-binmap.h, liboctave/util/oct-cmplx.h,
liboctave/util/oct-glob.cc, liboctave/util/oct-glob.h,
liboctave/util/oct-inttypes-fwd.h, liboctave/util/oct-inttypes.cc,
liboctave/util/oct-inttypes.h, liboctave/util/oct-locbuf.cc,
liboctave/util/oct-locbuf.h, liboctave/util/oct-mutex.cc,
liboctave/util/oct-mutex.h, liboctave/util/oct-refcount.h,
liboctave/util/oct-rl-edit.c, liboctave/util/oct-rl-edit.h,
liboctave/util/oct-rl-hist.c, liboctave/util/oct-rl-hist.h,
liboctave/util/oct-shlib.cc, liboctave/util/oct-shlib.h,
liboctave/util/oct-sort.cc, liboctave/util/oct-sort.h,
liboctave/util/oct-sparse.h, liboctave/util/oct-string.cc,
liboctave/util/oct-string.h, liboctave/util/pathsearch.cc,
liboctave/util/pathsearch.h, liboctave/util/singleton-cleanup.cc,
liboctave/util/sparse-sort.cc, liboctave/util/sparse-sort.h,
liboctave/util/sparse-util.cc, liboctave/util/sparse-util.h,
liboctave/util/str-vec.cc, liboctave/util/str-vec.h,
liboctave/util/sun-utils.h, liboctave/util/unwind-prot.cc,
liboctave/util/unwind-prot.h, liboctave/util/url-transfer.cc,
liboctave/util/url-transfer.h, liboctave/wrappers/areadlink-wrapper.c,
liboctave/wrappers/areadlink-wrapper.h,
liboctave/wrappers/async-system-wrapper.c,
liboctave/wrappers/async-system-wrapper.h,
liboctave/wrappers/base64-wrappers.c, liboctave/wrappers/base64-wrappers.h,
liboctave/wrappers/canonicalize-file-name-wrapper.c,
liboctave/wrappers/canonicalize-file-name-wrapper.h,
liboctave/wrappers/dirent-wrappers.c, liboctave/wrappers/dirent-wrappers.h,
liboctave/wrappers/fcntl-wrappers.c, liboctave/wrappers/fcntl-wrappers.h,
liboctave/wrappers/filepos-wrappers.c, liboctave/wrappers/filepos-wrappers.h,
liboctave/wrappers/fpucw-wrappers.c, liboctave/wrappers/fpucw-wrappers.h,
liboctave/wrappers/gen-tempname-wrapper.c,
liboctave/wrappers/gen-tempname-wrapper.h, liboctave/wrappers/getopt-wrapper.c,
liboctave/wrappers/getopt-wrapper.h, liboctave/wrappers/glob-wrappers.c,
liboctave/wrappers/glob-wrappers.h, liboctave/wrappers/hash-wrappers.c,
liboctave/wrappers/hash-wrappers.h, liboctave/wrappers/math-wrappers.c,
liboctave/wrappers/math-wrappers.h, liboctave/wrappers/mkostemp-wrapper.c,
liboctave/wrappers/mkostemp-wrapper.h, liboctave/wrappers/nanosleep-wrapper.c,
liboctave/wrappers/nanosleep-wrapper.h, liboctave/wrappers/nproc-wrapper.c,
liboctave/wrappers/nproc-wrapper.h, liboctave/wrappers/octave-popen2.c,
liboctave/wrappers/octave-popen2.h, liboctave/wrappers/putenv-wrapper.c,
liboctave/wrappers/putenv-wrapper.h,
liboctave/wrappers/set-program-name-wrapper.c,
liboctave/wrappers/set-program-name-wrapper.h,
liboctave/wrappers/signal-wrappers.c, liboctave/wrappers/signal-wrappers.h,
liboctave/wrappers/stat-wrappers.c, liboctave/wrappers/stat-wrappers.h,
liboctave/wrappers/strdup-wrapper.c, liboctave/wrappers/strdup-wrapper.h,
liboctave/wrappers/strftime-wrapper.c, liboctave/wrappers/strftime-wrapper.h,
liboctave/wrappers/strmode-wrapper.c, liboctave/wrappers/strmode-wrapper.h,
liboctave/wrappers/strptime-wrapper.c, liboctave/wrappers/strptime-wrapper.h,
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liboctave/wrappers/tmpfile-wrapper.c, liboctave/wrappers/tmpfile-wrapper.h,
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liboctave/wrappers/unistd-wrappers.c, liboctave/wrappers/unistd-wrappers.h,
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liboctave/wrappers/vasprintf-wrapper.c, liboctave/wrappers/vasprintf-wrapper.h,
liboctave/wrappers/wait-for-input.c, liboctave/wrappers/wait-for-input.h,
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Use the same Copyright formatting throughout Octave.
author | Rik <rik@octave.org> |
---|---|
date | Sun, 13 Nov 2016 20:33:47 -0800 |
parents | 93ea313301f9 |
children | ef4d915df748 |
line wrap: on
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/* Copyright (C) 1996-2016 John W. Eaton 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/>. */ #if defined (HAVE_CONFIG_H) # include "config.h" #endif #include <ctime> #include <unordered_map> #include <string> #include "f77-fcn.h" #include "lo-mappers.h" #include "oct-rand.h" #include "quit.h" #include "defun.h" #include "error.h" #include "errwarn.h" #include "ovl.h" #include "unwind-prot.h" #include "utils.h" #include "ov-re-mat.h" /* %!shared __random_statistical_tests__ %! ## Flag whether the statistical tests should be run in "make check" or not %! __random_statistical_tests__ = 0; */ static octave_value do_rand (const octave_value_list& args, int nargin, const char *fcn, const std::string& distribution, bool additional_arg = false) { NDArray a; int idx = 0; bool is_single = false; if (nargin > 0 && args(nargin-1).is_string ()) { std::string s_arg = args(nargin-1).string_value (); if (s_arg == "single") { is_single = true; nargin--; } else if (s_arg == "double") nargin--; } if (additional_arg) { if (nargin == 0) error ("%s: at least one argument is required", fcn); else if (args(0).is_string ()) additional_arg = false; else { a = args(0).xarray_value ("%s: dimension must be a scalar integer", fcn); idx++; nargin--; } } octave_value retval; dim_vector dims; octave::unwind_protect frame; // Restore current distribution on any exit. frame.add_fcn (octave_rand::distribution, octave_rand::distribution ()); octave_rand::distribution (distribution); switch (nargin) { case 0: { if (additional_arg) dims = a.dims (); else { dims.resize (2); dims(0) = 1; dims(1) = 1; } goto gen_matrix; } break; case 1: { octave_value tmp = args(idx); if (tmp.is_string ()) { std::string s_arg = tmp.string_value (); if (s_arg == "dist") retval = octave_rand::distribution (); else if (s_arg == "seed") retval = octave_rand::seed (); else if (s_arg == "state" || s_arg == "twister") retval = octave_rand::state (fcn); else if (s_arg == "uniform") octave_rand::uniform_distribution (); else if (s_arg == "normal") octave_rand::normal_distribution (); else if (s_arg == "exponential") octave_rand::exponential_distribution (); else if (s_arg == "poisson") octave_rand::poisson_distribution (); else if (s_arg == "gamma") octave_rand::gamma_distribution (); else error ("%s: unrecognized string argument", fcn); } else if (tmp.is_scalar_type ()) { double dval = tmp.double_value (); if (octave::math::isnan (dval)) error ("%s: NaN is invalid matrix dimension", fcn); dims.resize (2); dims(0) = octave::math::nint_big (tmp.double_value ()); dims(1) = octave::math::nint_big (tmp.double_value ()); goto gen_matrix; } else if (tmp.is_range ()) { Range r = tmp.range_value (); if (! r.all_elements_are_ints ()) error ("%s: all elements of range must be integers", fcn); octave_idx_type n = r.numel (); dims.resize (n); octave_idx_type base = octave::math::nint_big (r.base ()); octave_idx_type incr = octave::math::nint_big (r.inc ()); for (octave_idx_type i = 0; i < n; i++) { // Negative dimensions treated as zero for Matlab compatibility dims(i) = base >= 0 ? base : 0; base += incr; } goto gen_matrix; } else if (tmp.is_matrix_type ()) { Array<int> iv; try { iv = tmp.int_vector_value (true); } catch (octave::execution_exception& e) { error (e, "%s: dimensions must be a scalar or array of integers", fcn); } octave_idx_type len = iv.numel (); dims.resize (len); for (octave_idx_type i = 0; i < len; i++) { // Negative dimensions treated as zero for Matlab compatibility octave_idx_type elt = iv(i); dims(i) = elt >=0 ? elt : 0; } goto gen_matrix; } else err_wrong_type_arg ("rand", tmp); } break; default: { octave_value tmp = args(idx); if (nargin == 2 && tmp.is_string ()) { std::string ts = tmp.string_value (); if (ts == "seed") { if (args(idx+1).is_real_scalar ()) { double d = args(idx+1).double_value (); octave_rand::seed (d); } else if (args(idx+1).is_string () && args(idx+1).string_value () == "reset") octave_rand::reset (); else error ("%s: seed must be a real scalar", fcn); } else if (ts == "state" || ts == "twister") { if (args(idx+1).is_string () && args(idx+1).string_value () == "reset") octave_rand::reset (fcn); else { ColumnVector s = ColumnVector (args(idx+1).vector_value(false, true)); octave_rand::state (s, fcn); } } else error ("%s: unrecognized string argument", fcn); } else { dims.resize (nargin); for (int i = 0; i < nargin; i++) { octave_idx_type elt = args(idx+i).xidx_type_value ( "%s: dimension must be a scalar or array of integers", fcn); // Negative dimensions treated as zero for Matlab compatibility dims(i) = elt >= 0 ? elt : 0; } goto gen_matrix; } } break; } // No "goto gen_matrix" in code path. Must be done processing. return retval; gen_matrix: dims.chop_trailing_singletons (); if (is_single) { if (additional_arg) { if (a.numel () == 1) return octave_rand::float_nd_array (dims, a(0)); else { if (a.dims () != dims) error ("%s: mismatch in argument size", fcn); octave_idx_type len = a.numel (); FloatNDArray m (dims); float *v = m.fortran_vec (); for (octave_idx_type i = 0; i < len; i++) v[i] = octave_rand::float_scalar (a(i)); return m; } } else return octave_rand::float_nd_array (dims); } else { if (additional_arg) { if (a.numel () == 1) return octave_rand::nd_array (dims, a(0)); else { if (a.dims () != dims) error ("%s: mismatch in argument size", fcn); octave_idx_type len = a.numel (); NDArray m (dims); double *v = m.fortran_vec (); for (octave_idx_type i = 0; i < len; i++) v[i] = octave_rand::scalar (a(i)); return m; } } else return octave_rand::nd_array (dims); } } DEFUN (rand, args, , doc: /* -*- texinfo -*- @deftypefn {} {} rand (@var{n}) @deftypefnx {} {} rand (@var{m}, @var{n}, @dots{}) @deftypefnx {} {} rand ([@var{m} @var{n} @dots{}]) @deftypefnx {} {@var{v} =} rand ("state") @deftypefnx {} {} rand ("state", @var{v}) @deftypefnx {} {} rand ("state", "reset") @deftypefnx {} {@var{v} =} rand ("seed") @deftypefnx {} {} rand ("seed", @var{v}) @deftypefnx {} {} rand ("seed", "reset") @deftypefnx {} {} rand (@dots{}, "single") @deftypefnx {} {} rand (@dots{}, "double") Return a matrix with random elements uniformly distributed on the interval (0, 1). The arguments are handled the same as the arguments for @code{eye}. You can query the state of the random number generator using the form @example v = rand ("state") @end example This returns a column vector @var{v} of length 625. Later, you can restore the random number generator to the state @var{v} using the form @example rand ("state", v) @end example @noindent You may also initialize the state vector from an arbitrary vector of length @leq{} 625 for @var{v}. This new state will be a hash based on the value of @var{v}, not @var{v} itself. By default, the generator is initialized from @code{/dev/urandom} if it is available, otherwise from CPU time, wall clock time, and the current fraction of a second. Note that this differs from @sc{matlab}, which always initializes the state to the same state at startup. To obtain behavior comparable to @sc{matlab}, initialize with a deterministic state vector in Octave's startup files (@pxref{Startup Files}). To compute the pseudo-random sequence, @code{rand} uses the Mersenne Twister with a period of @math{2^{19937}-1} (See @nospell{M. Matsumoto and T. Nishimura}, @cite{Mersenne Twister: A 623-dimensionally equidistributed uniform pseudorandom number generator}, ACM Trans. on Modeling and Computer Simulation Vol. 8, No. 1, pp. 3--30, January 1998, @url{http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html}). Do @strong{not} use for cryptography without securely hashing several returned values together, otherwise the generator state can be learned after reading 624 consecutive values. Older versions of Octave used a different random number generator. The new generator is used by default as it is significantly faster than the old generator, and produces random numbers with a significantly longer cycle time. However, in some circumstances it might be desirable to obtain the same random sequences as produced by the old generators. To do this the keyword @qcode{"seed"} is used to specify that the old generators should be used, as in @example rand ("seed", val) @end example @noindent which sets the seed of the generator to @var{val}. The seed of the generator can be queried with @example s = rand ("seed") @end example However, it should be noted that querying the seed will not cause @code{rand} to use the old generators, only setting the seed will. To cause @code{rand} to once again use the new generators, the keyword @qcode{"state"} should be used to reset the state of the @code{rand}. The state or seed of the generator can be reset to a new random value using the @qcode{"reset"} keyword. The class of the value returned can be controlled by a trailing @qcode{"double"} or @qcode{"single"} argument. These are the only valid classes. @seealso{randn, rande, randg, randp} @end deftypefn */) { return do_rand (args, args.length (), "rand", "uniform"); } // FIXME: The old generator (selected when "seed" is set) will not // work properly if compiled to use 64-bit integers. /* %!test # "state" can be a scalar %! rand ("state", 12); x = rand (1,4); %! rand ("state", 12); y = rand (1,4); %! assert (x, y); %!test # "state" can be a vector %! rand ("state", [12,13]); x = rand (1,4); %! rand ("state", [12;13]); y = rand (1,4); %! assert (x, y); %!test # querying "state" doesn't disturb sequence %! rand ("state", 12); rand (1,2); x = rand (1,2); %! rand ("state", 12); rand (1,2); %! s = rand ("state"); y = rand (1,2); %! assert (x, y); %! rand ("state", s); z = rand (1,2); %! assert (x, z); %!test # "seed" must be a scalar %! rand ("seed", 12); x = rand (1,4); %! rand ("seed", 12); y = rand (1,4); %! assert (x, y); %!error <seed must be a real scalar> rand ("seed", [12,13]) %!test # querying "seed" returns a value which can be used later %! s = rand ("seed"); x = rand (1,2); %! rand ("seed", s); y = rand (1,2); %! assert (x, y); %!test # querying "seed" doesn't disturb sequence %! rand ("seed", 12); rand (1,2); x = rand (1,2); %! rand ("seed", 12); rand (1,2); %! s = rand ("seed"); y = rand (1,2); %! assert (x, y); %! rand ("seed", s); z = rand (1,2); %! assert (x, z); */ /* %!test %! ## Test fixed state %! rand ("state", 1); %! assert (rand (1,6), [0.1343642441124013 0.8474337369372327 0.763774618976614 0.2550690257394218 0.495435087091941 0.4494910647887382], 1e-6); %!test %! ## Test fixed seed %! rand ("seed", 1); %! assert (rand (1,6), [0.8668024251237512 0.9126510815694928 0.09366085007786751 0.1664607301354408 0.7408077004365623 0.7615650338120759], 1e-6); %!test %! if (__random_statistical_tests__) %! ## statistical tests may fail occasionally. %! rand ("state", 12); %! x = rand (100000, 1); %! assert (max (x) < 1); #*** Please report this!!! *** %! assert (min (x) > 0); #*** Please report this!!! *** %! assert (mean (x), 0.5, 0.0024); %! assert (var (x), 1/48, 0.0632); %! assert (skewness (x), 0, 0.012); %! assert (kurtosis (x), -6/5, 0.0094); %! endif %!test %! if (__random_statistical_tests__) %! ## statistical tests may fail occasionally. %! rand ("seed", 12); %! x = rand (100000, 1); %! assert (max (x) < 1); #*** Please report this!!! *** %! assert (min (x) > 0); #*** Please report this!!! *** %! assert (mean (x), 0.5, 0.0024); %! assert (var (x), 1/48, 0.0632); %! assert (skewness (x), 0, 0.012); %! assert (kurtosis (x), -6/5, 0.0094); %! endif */ /* %!# Test out-of-range values as rand() seeds. See oct-rand.cc: double2uint32(). %!function v = __rand_sample__ (initval) %! rand ("state", initval); %! v = rand (1, 6); %!endfunction %! %!assert (__rand_sample__ (0), __rand_sample__ (2^32)) %!assert (__rand_sample__ (-2), __rand_sample__ (2^32-2)) %!assert (__rand_sample__ (Inf), __rand_sample__ (NaN)) %!assert (! isequal (__rand_sample__ (-1), __rand_sample__ (-2))) */ static std::string current_distribution = octave_rand::distribution (); DEFUN (randn, args, , doc: /* -*- texinfo -*- @deftypefn {} {} randn (@var{n}) @deftypefnx {} {} randn (@var{m}, @var{n}, @dots{}) @deftypefnx {} {} randn ([@var{m} @var{n} @dots{}]) @deftypefnx {} {@var{v} =} randn ("state") @deftypefnx {} {} randn ("state", @var{v}) @deftypefnx {} {} randn ("state", "reset") @deftypefnx {} {@var{v} =} randn ("seed") @deftypefnx {} {} randn ("seed", @var{v}) @deftypefnx {} {} randn ("seed", "reset") @deftypefnx {} {} randn (@dots{}, "single") @deftypefnx {} {} randn (@dots{}, "double") Return a matrix with normally distributed random elements having zero mean and variance one. The arguments are handled the same as the arguments for @code{rand}. By default, @code{randn} uses the @nospell{Marsaglia and Tsang} ``Ziggurat technique'' to transform from a uniform to a normal distribution. The class of the value returned can be controlled by a trailing @qcode{"double"} or @qcode{"single"} argument. These are the only valid classes. Reference: @nospell{G. Marsaglia and W.W. Tsang}, @cite{Ziggurat Method for Generating Random Variables}, J. Statistical Software, vol 5, 2000, @url{http://www.jstatsoft.org/v05/i08/} @seealso{rand, rande, randg, randp} @end deftypefn */) { return do_rand (args, args.length (), "randn", "normal"); } /* %!test %! ## Test fixed state %! randn ("state", 1); %! assert (randn (1, 6), [-2.666521678978671 -0.7381719971724564 1.507903992673601 0.6019427189162239 -0.450661261143348 -0.7054431351574116], 1e-6); %!test %! ## Test fixed seed %! randn ("seed", 1); %! assert (randn (1, 6), [-1.039402365684509 -1.25938892364502 0.1968704611063004 0.3874166905879974 -0.5976632833480835 -0.6615074276924133], 1e-6); %!test %! if (__random_statistical_tests__) %! ## statistical tests may fail occasionally. %! randn ("state", 12); %! x = randn (100000, 1); %! assert (mean (x), 0, 0.01); %! assert (var (x), 1, 0.02); %! assert (skewness (x), 0, 0.02); %! assert (kurtosis (x), 0, 0.04); %! endif %!test %! if (__random_statistical_tests__) %! ## statistical tests may fail occasionally. %! randn ("seed", 12); %! x = randn (100000, 1); %! assert (mean (x), 0, 0.01); %! assert (var (x), 1, 0.02); %! assert (skewness (x), 0, 0.02); %! assert (kurtosis (x), 0, 0.04); %! endif */ DEFUN (rande, args, , doc: /* -*- texinfo -*- @deftypefn {} {} rande (@var{n}) @deftypefnx {} {} rande (@var{m}, @var{n}, @dots{}) @deftypefnx {} {} rande ([@var{m} @var{n} @dots{}]) @deftypefnx {} {@var{v} =} rande ("state") @deftypefnx {} {} rande ("state", @var{v}) @deftypefnx {} {} rande ("state", "reset") @deftypefnx {} {@var{v} =} rande ("seed") @deftypefnx {} {} rande ("seed", @var{v}) @deftypefnx {} {} rande ("seed", "reset") @deftypefnx {} {} rande (@dots{}, "single") @deftypefnx {} {} rande (@dots{}, "double") Return a matrix with exponentially distributed random elements. The arguments are handled the same as the arguments for @code{rand}. By default, @code{rande} uses the @nospell{Marsaglia and Tsang} ``Ziggurat technique'' to transform from a uniform to an exponential distribution. The class of the value returned can be controlled by a trailing @qcode{"double"} or @qcode{"single"} argument. These are the only valid classes. Reference: @nospell{G. Marsaglia and W.W. Tsang}, @cite{Ziggurat Method for Generating Random Variables}, J. Statistical Software, vol 5, 2000, @url{http://www.jstatsoft.org/v05/i08/} @seealso{rand, randn, randg, randp} @end deftypefn */) { return do_rand (args, args.length (), "rande", "exponential"); } /* %!test %! ## Test fixed state %! rande ("state", 1); %! assert (rande (1, 6), [3.602973885835625 0.1386190677555021 0.6743112889616958 0.4512830847258422 0.7255744741233175 0.3415969205292291], 1e-6); %!test %! ## Test fixed seed %! rande ("seed", 1); %! assert (rande (1, 6), [0.06492075175653866 1.717980206012726 0.4816154008731246 0.5231300676241517 0.103910739364359 1.668931916356087], 1e-6); %!test %! if (__random_statistical_tests__) %! ## statistical tests may fail occasionally %! rande ("state", 1); %! x = rande (100000, 1); %! assert (min (x) > 0); # *** Please report this!!! *** %! assert (mean (x), 1, 0.01); %! assert (var (x), 1, 0.03); %! assert (skewness (x), 2, 0.06); %! assert (kurtosis (x), 6, 0.7); %! endif %!test %! if (__random_statistical_tests__) %! ## statistical tests may fail occasionally %! rande ("seed", 1); %! x = rande (100000, 1); %! assert (min (x)>0); # *** Please report this!!! *** %! assert (mean (x), 1, 0.01); %! assert (var (x), 1, 0.03); %! assert (skewness (x), 2, 0.06); %! assert (kurtosis (x), 6, 0.7); %! endif */ DEFUN (randg, args, , doc: /* -*- texinfo -*- @deftypefn {} {} randg (@var{n}) @deftypefnx {} {} randg (@var{m}, @var{n}, @dots{}) @deftypefnx {} {} randg ([@var{m} @var{n} @dots{}]) @deftypefnx {} {@var{v} =} randg ("state") @deftypefnx {} {} randg ("state", @var{v}) @deftypefnx {} {} randg ("state", "reset") @deftypefnx {} {@var{v} =} randg ("seed") @deftypefnx {} {} randg ("seed", @var{v}) @deftypefnx {} {} randg ("seed", "reset") @deftypefnx {} {} randg (@dots{}, "single") @deftypefnx {} {} randg (@dots{}, "double") Return a matrix with @code{gamma (@var{a},1)} distributed random elements. The arguments are handled the same as the arguments for @code{rand}, except for the argument @var{a}. This can be used to generate many distributions: @table @asis @item @code{gamma (a, b)} for @code{a > -1}, @code{b > 0} @example r = b * randg (a) @end example @item @code{beta (a, b)} for @code{a > -1}, @code{b > -1} @example @group r1 = randg (a, 1) r = r1 / (r1 + randg (b, 1)) @end group @end example @item @code{Erlang (a, n)} @example r = a * randg (n) @end example @item @code{chisq (df)} for @code{df > 0} @example r = 2 * randg (df / 2) @end example @item @code{t (df)} for @code{0 < df < inf} (use randn if df is infinite) @example r = randn () / sqrt (2 * randg (df / 2) / df) @end example @item @code{F (n1, n2)} for @code{0 < n1}, @code{0 < n2} @example @group ## r1 equals 1 if n1 is infinite r1 = 2 * randg (n1 / 2) / n1 ## r2 equals 1 if n2 is infinite r2 = 2 * randg (n2 / 2) / n2 r = r1 / r2 @end group @end example @item negative @code{binomial (n, p)} for @code{n > 0}, @code{0 < p <= 1} @example r = randp ((1 - p) / p * randg (n)) @end example @item non-central @code{chisq (df, L)}, for @code{df >= 0} and @code{L > 0} (use chisq if @code{L = 0}) @example @group r = randp (L / 2) r(r > 0) = 2 * randg (r(r > 0)) r(df > 0) += 2 * randg (df(df > 0)/2) @end group @end example @item @code{Dirichlet (a1, @dots{} ak)} @example @group r = (randg (a1), @dots{}, randg (ak)) r = r / sum (r) @end group @end example @end table The class of the value returned can be controlled by a trailing @qcode{"double"} or @qcode{"single"} argument. These are the only valid classes. @seealso{rand, randn, rande, randp} @end deftypefn */) { int nargin = args.length (); if (nargin < 1) error ("randg: insufficient arguments"); return do_rand (args, nargin, "randg", "gamma", true); } /* %!test %! randg ("state", 12); %! assert (randg ([-inf, -1, 0, inf, nan]), [nan, nan, nan, nan, nan]); # *** Please report %!test %! ## Test fixed state %! randg ("state", 1); %! assert (randg (0.1, 1, 6), [0.0103951513331241 8.335671459898252e-05 0.00138691397249762 0.000587308416993855 0.495590518784736 2.3921917414795e-12], 1e-6); %!test %! ## Test fixed state %! randg ("state", 1); %! assert (randg (0.95, 1, 6), [3.099382433255327 0.3974529788871218 0.644367450750855 1.143261091802246 1.964111762696822 0.04011915547957939], 1e-6); %!test %! ## Test fixed state %! randg ("state", 1); %! assert (randg (1, 1, 6), [0.2273389379645993 1.288822625058359 0.2406335209340746 1.218869553370733 1.024649860162554 0.09631230343599533], 1e-6); %!test %! ## Test fixed state %! randg ("state", 1); %! assert (randg (10, 1, 6), [3.520369644331133 15.15369864472106 8.332112081991205 8.406211067432674 11.81193475187611 10.88792728177059], 1e-5); %!test %! ## Test fixed state %! randg ("state", 1); %! assert (randg (100, 1, 6), [75.34570255262264 115.4911985594699 95.23493031356388 95.48926019250911 106.2397448229803 103.4813150404118], 1e-4); %!test %! ## Test fixed seed %! randg ("seed", 1); %! assert (randg (0.1, 1, 6), [0.07144210487604141 0.460641473531723 0.4749028384685516 0.06823389977216721 0.000293838675133884 1.802567535340305e-12], 1e-6); %!test %! ## Test fixed seed %! randg ("seed", 1); %! assert (randg (0.95, 1, 6), [1.664905071258545 1.879976987838745 1.905677795410156 0.9948706030845642 0.5606933236122131 0.0766092911362648], 1e-6); %!test %! ## Test fixed seed %! randg ("seed", 1); %! assert (randg (1, 1, 6), [0.03512085229158401 0.6488978862762451 0.8114678859710693 0.1666885763406754 1.60791552066803 1.90356981754303], 1e-6); %!test %! ## Test fixed seed %! randg ("seed", 1); %! assert (randg (10, 1, 6), [6.566435813903809 10.11648464202881 10.73162078857422 7.747178077697754 6.278522491455078 6.240195751190186], 1e-5); %!test %! ## Test fixed seed %! randg ("seed", 1); %! assert (randg (100, 1, 6), [89.40208435058594 101.4734725952148 103.4020004272461 93.62763214111328 88.33104705810547 88.1871337890625], 1e-4); %!test %! ## Test out-of-bounds values produce NaN w/old-style generators & floats %! randg ("seed", 1); %! result = randg ([-2 Inf], "single"); %! assert (result, single ([NaN NaN])); %!test %! if (__random_statistical_tests__) %! ## statistical tests may fail occasionally. %! randg ("state", 12); %! a = 0.1; %! x = randg (a, 100000, 1); %! assert (mean (x), a, 0.01); %! assert (var (x), a, 0.01); %! assert (skewness (x), 2/sqrt (a), 1); %! assert (kurtosis (x), 6/a, 50); %! endif %!test %! if (__random_statistical_tests__) %! ## statistical tests may fail occasionally. %! randg ("state", 12); %! a = 0.95; %! x = randg (a, 100000, 1); %! assert (mean (x), a, 0.01); %! assert (var (x), a, 0.04); %! assert (skewness (x), 2/sqrt (a), 0.2); %! assert (kurtosis (x), 6/a, 2); %! endif %!test %! if (__random_statistical_tests__) %! ## statistical tests may fail occasionally. %! randg ("state", 12); %! a = 1; %! x = randg (a, 100000, 1); %! assert (mean (x), a, 0.01); %! assert (var (x), a, 0.04); %! assert (skewness (x), 2/sqrt (a), 0.2); %! assert (kurtosis (x), 6/a, 2); %! endif %!test %! if (__random_statistical_tests__) %! ## statistical tests may fail occasionally. %! randg ("state", 12); %! a = 10; %! x = randg (a, 100000, 1); %! assert (mean (x), a, 0.1); %! assert (var (x), a, 0.5); %! assert (skewness (x), 2/sqrt (a), 0.1); %! assert (kurtosis (x), 6/a, 0.5); %! endif %!test %! if (__random_statistical_tests__) %! ## statistical tests may fail occasionally. %! randg ("state", 12); %! a = 100; %! x = randg (a, 100000, 1); %! assert (mean (x), a, 0.2); %! assert (var (x), a, 2); %! assert (skewness (x), 2/sqrt (a), 0.05); %! assert (kurtosis (x), 6/a, 0.2); %! endif %!test %! randg ("seed", 12); %!assert (randg ([-inf, -1, 0, inf, nan]), [nan, nan, nan, nan, nan]) # *** Please report %!test %! if (__random_statistical_tests__) %! ## statistical tests may fail occasionally. %! randg ("seed", 12); %! a = 0.1; %! x = randg (a, 100000, 1); %! assert (mean (x), a, 0.01); %! assert (var (x), a, 0.01); %! assert (skewness (x), 2/sqrt (a), 1); %! assert (kurtosis (x), 6/a, 50); %! endif %!test %! if (__random_statistical_tests__) %! ## statistical tests may fail occasionally. %! randg ("seed", 12); %! a = 0.95; %! x = randg (a, 100000, 1); %! assert (mean (x), a, 0.01); %! assert (var (x), a, 0.04); %! assert (skewness (x), 2/sqrt (a), 0.2); %! assert (kurtosis (x), 6/a, 2); %! endif %!test %! if (__random_statistical_tests__) %! ## statistical tests may fail occasionally. %! randg ("seed", 12); %! a = 1; %! x = randg (a, 100000, 1); %! assert (mean (x), a, 0.01); %! assert (var (x), a, 0.04); %! assert (skewness (x), 2/sqrt (a), 0.2); %! assert (kurtosis (x), 6/a, 2); %! endif %!test %! if (__random_statistical_tests__) %! ## statistical tests may fail occasionally. %! randg ("seed", 12); %! a = 10; %! x = randg (a, 100000, 1); %! assert (mean (x), a, 0.1); %! assert (var (x), a, 0.5); %! assert (skewness (x), 2/sqrt (a), 0.1); %! assert (kurtosis (x), 6/a, 0.5); %! endif %!test %! if (__random_statistical_tests__) %! ## statistical tests may fail occasionally. %! randg ("seed", 12); %! a = 100; %! x = randg (a, 100000, 1); %! assert (mean (x), a, 0.2); %! assert (var (x), a, 2); %! assert (skewness (x), 2/sqrt (a), 0.05); %! assert (kurtosis (x), 6/a, 0.2); %! endif */ DEFUN (randp, args, , doc: /* -*- texinfo -*- @deftypefn {} {} randp (@var{l}, @var{n}) @deftypefnx {} {} randp (@var{l}, @var{m}, @var{n}, @dots{}) @deftypefnx {} {} randp (@var{l}, [@var{m} @var{n} @dots{}]) @deftypefnx {} {@var{v} =} randp ("state") @deftypefnx {} {} randp ("state", @var{v}) @deftypefnx {} {} randp ("state", "reset") @deftypefnx {} {@var{v} =} randp ("seed") @deftypefnx {} {} randp ("seed", @var{v}) @deftypefnx {} {} randp ("seed", "reset") @deftypefnx {} {} randp (@dots{}, "single") @deftypefnx {} {} randp (@dots{}, "double") Return a matrix with Poisson distributed random elements with mean value parameter given by the first argument, @var{l}. The arguments are handled the same as the arguments for @code{rand}, except for the argument @var{l}. Five different algorithms are used depending on the range of @var{l} and whether or not @var{l} is a scalar or a matrix. @table @asis @item For scalar @var{l} @leq{} 12, use direct method. W.H. Press, et al., @cite{Numerical Recipes in C}, Cambridge University Press, 1992. @item For scalar @var{l} > 12, use rejection method.[1] W.H. Press, et al., @cite{Numerical Recipes in C}, Cambridge University Press, 1992. @item For matrix @var{l} @leq{} 10, use inversion method.[2] @nospell{E. Stadlober, et al., WinRand source code}, available via FTP. @item For matrix @var{l} > 10, use patchwork rejection method. @nospell{E. Stadlober, et al., WinRand source code}, available via FTP, or @nospell{H. Zechner}, @cite{Efficient sampling from continuous and discrete unimodal distributions}, Doctoral Dissertation, 156pp., Technical University @nospell{Graz}, Austria, 1994. @item For @var{l} > 1e8, use normal approximation. @nospell{L. Montanet}, et al., @cite{Review of Particle Properties}, Physical Review D 50 p1284, 1994. @end table The class of the value returned can be controlled by a trailing @qcode{"double"} or @qcode{"single"} argument. These are the only valid classes. @seealso{rand, randn, rande, randg} @end deftypefn */) { int nargin = args.length (); if (nargin < 1) error ("randp: insufficient arguments"); return do_rand (args, nargin, "randp", "poisson", true); } /* %!test %! randp ("state", 12); %! assert (randp ([-inf, -1, 0, inf, nan]), [nan, nan, 0, nan, nan]); # *** Please report %!test %! ## Test fixed state %! randp ("state", 1); %! assert (randp (5, 1, 6), [5 5 3 7 7 3]); %!test %! ## Test fixed state %! randp ("state", 1); %! assert (randp (15, 1, 6), [13 15 8 18 18 15]); %!test %! ## Test fixed state %! randp ("state", 1); %! assert (randp (1e9, 1, 6), [999915677 999976657 1000047684 1000019035 999985749 999977692], -1e-6); %!test %! ## Test fixed state %! randp ("seed", 1); %! %%assert (randp (5, 1, 6), [8 2 3 6 6 8]) %! assert (randp (5, 1, 5), [8 2 3 6 6]); %!test %! ## Test fixed state %! randp ("seed", 1); %! assert (randp (15, 1, 6), [15 16 12 10 10 12]); %!test %! ## Test fixed state %! randp ("seed", 1); %! assert (randp (1e9, 1, 6), [1000006208 1000012224 999981120 999963520 999963072 999981440], -1e-6); %!test %! if (__random_statistical_tests__) %! ## statistical tests may fail occasionally. %! randp ("state", 12); %! for a = [5, 15, 1e9; 0.03, 0.03, -5e-3; 0.03, 0.03, 0.03] %! x = randp (a (1), 100000, 1); %! assert (min (x) >= 0); # *** Please report this!!! *** %! assert (mean (x), a(1), a(2)); %! assert (var (x), a(1), 0.02*a(1)); %! assert (skewness (x), 1/sqrt (a(1)), a(3)); %! assert (kurtosis (x), 1/a(1), 3*a(3)); %! endfor %! endif %!test %! if (__random_statistical_tests__) %! ## statistical tests may fail occasionally. %! randp ("state", 12); %! for a = [5, 15, 1e9; 0.03, 0.03, -5e-3; 0.03, 0.03, 0.03] %! x = randp (a(1)*ones (100000, 1), 100000, 1); %! assert (min (x) >= 0); # *** Please report this!!! *** %! assert (mean (x), a(1), a(2)); %! assert (var (x), a(1), 0.02*a(1)); %! assert (skewness (x), 1/sqrt (a(1)), a(3)); %! assert (kurtosis (x), 1/a(1), 3*a(3)); %! endfor %! endif %!test %! randp ("seed", 12); %! assert (randp ([-inf, -1, 0, inf, nan]), [nan, nan, 0, nan, nan]); # *** Please report %!test %! if (__random_statistical_tests__) %! ## statistical tests may fail occasionally. %! randp ("seed", 12); %! for a = [5, 15, 1e9; 0.03, 0.03, -5e-3; 0.03, 0.03, 0.03] %! x = randp (a(1), 100000, 1); %! assert (min (x) >= 0); # *** Please report this!!! *** %! assert (mean (x), a(1), a(2)); %! assert (var (x), a(1), 0.02*a(1)); %! assert (skewness (x), 1/sqrt (a(1)), a(3)); %! assert (kurtosis (x), 1/a(1), 3*a(3)); %! endfor %! endif %!test %! if (__random_statistical_tests__) %! ## statistical tests may fail occasionally. %! randp ("seed", 12); %! for a = [5, 15, 1e9; 0.03, 0.03, -5e-3; 0.03, 0.03, 0.03] %! x = randp (a(1)*ones (100000, 1), 100000, 1); %! assert (min (x) >= 0); # *** Please report this!!! *** %! assert (mean (x), a(1), a(2)); %! assert (var (x), a(1), 0.02*a(1)); %! assert (skewness (x), 1/sqrt (a(1)), a(3)); %! assert (kurtosis (x), 1/a(1), 3*a(3)); %! endfor %! endif */ DEFUN (randperm, args, , doc: /* -*- texinfo -*- @deftypefn {} {} randperm (@var{n}) @deftypefnx {} {} randperm (@var{n}, @var{m}) Return a row vector containing a random permutation of @code{1:@var{n}}. If @var{m} is supplied, return @var{m} unique entries, sampled without replacement from @code{1:@var{n}}. The complexity is O(@var{n}) in memory and O(@var{m}) in time, unless @var{m} < @var{n}/5, in which case O(@var{m}) memory is used as well. The randomization is performed using rand(). All permutations are equally likely. @seealso{perms} @end deftypefn */) { int nargin = args.length (); if (nargin < 1 || nargin > 2) print_usage (); octave_idx_type n = args(0).idx_type_value (true); octave_idx_type m = (nargin == 2) ? args(1).idx_type_value (true) : n; if (m < 0 || n < 0) error ("randperm: M and N must be non-negative"); if (m > n) error ("randperm: M must be less than or equal to N"); // Quick and dirty heuristic to decide if we allocate or not the // whole vector for tracking the truncated shuffle. bool short_shuffle = m < n/5; // Generate random numbers. NDArray r = octave_rand::nd_array (dim_vector (1, m)); double *rvec = r.fortran_vec (); octave_idx_type idx_len = short_shuffle ? m : n; Array<octave_idx_type> idx; try { idx = Array<octave_idx_type> (dim_vector (1, idx_len)); } catch (const std::bad_alloc&) { // Looks like n is too big and short_shuffle is false. // Let's try again, but this time with the alternative. idx_len = m; short_shuffle = true; idx = Array<octave_idx_type> (dim_vector (1, idx_len)); } octave_idx_type *ivec = idx.fortran_vec (); for (octave_idx_type i = 0; i < idx_len; i++) ivec[i] = i; if (short_shuffle) { std::unordered_map<octave_idx_type, octave_idx_type> map (m); // Perform the Knuth shuffle only keeping track of moved // entries in the map for (octave_idx_type i = 0; i < m; i++) { octave_idx_type k = i + std::floor (rvec[i] * (n - i)); // For shuffling first m entries, no need to use extra storage if (k < m) { std::swap (ivec[i], ivec[k]); } else { if (map.find (k) == map.end ()) map[k] = k; std::swap (ivec[i], map[k]); } } } else { // Perform the Knuth shuffle of the first m entries for (octave_idx_type i = 0; i < m; i++) { octave_idx_type k = i + std::floor (rvec[i] * (n - i)); std::swap (ivec[i], ivec[k]); } } // Convert to doubles, reusing r. for (octave_idx_type i = 0; i < m; i++) rvec[i] = ivec[i] + 1; if (m < n) idx.resize (dim_vector (1, m)); // Now create an array object with a cached idx_vector. return ovl (new octave_matrix (r, idx_vector (idx))); } /* %!assert (sort (randperm (20)), 1:20) %!assert (length (randperm (20,10)), 10) ## Test biggish N %!assert <39378> (length (randperm (30000^2, 100000)), 100000) %!test %! rand ("seed", 0); %! for i = 1:100 %! p = randperm (305, 30); %! assert (length (unique (p)), 30); %! endfor */