annotate libinterp/corefcn/quad.cc @ 21724:aba2e6293dd8

use "#if ..." consistently instead of "#ifdef" and "#ifndef" * configure.ac, Doxyfile.in, make_int.cc, 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, __init_qt__.cc, annotation-dialog.cc, gl-select.cc, module.mk, 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, liboctgui-build-info.in.cc, file-editor-tab.cc, file-editor.cc, find-dialog.cc, marker.cc, marker.h, 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.in.cc, Cell.cc, __contourc__.cc, __dispatch__.cc, __dsearchn__.cc, __ichol__.cc, __ilu__.cc, __lin_interpn__.cc, __luinc__.cc, __magick_read__.cc, __pchip_deriv__.cc, __qp__.cc, balance.cc, besselj.cc, betainc.cc, bitfcns.cc, bsxfun.cc, c-file-ptr-stream.cc, c-file-ptr-stream.h, cdisplay.c, cdisplay.h, cellfun.cc, coct-hdf5-types.c, colloc.cc, comment-list.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, debug.cc, defaults.cc, defaults.in.h, defun.cc, det.cc, dirfns.cc, display.cc, dlmread.cc, 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, input.cc, inv.cc, jit-ir.cc, jit-ir.h, jit-typeinfo.cc, jit-typeinfo.h, jit-util.cc, jit-util.h, 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-oct-text.h, ls-utils.cc, lsode.cc, lu.cc, mappers.cc, matrix_type.cc, max.cc, mex.cc, mex.h, mexproto.h, mgorth.cc, nproc.cc, oct-errno.in.cc, oct-fstrm.cc, oct-hdf5-types.cc, oct-hdf5-types.h, oct-hist.cc, oct-iostrm.cc, oct-lvalue.cc, oct-map.cc, oct-prcstrm.cc, oct-procbuf.cc, oct-stdstrm.h, 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, pt-jit.h, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, sighandlers.cc, sighandlers.h, siglist.c, siglist.h, 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, zfstream.h, __delaunayn__.cc, __eigs__.cc, __fltk_uigetfile__.cc, __glpk__.cc, __init_fltk__.cc, __init_gnuplot__.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, liboctinterp-build-info.in.cc, mkbuiltins, mkops, 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-usr-fcn.h, ov.cc, ovl.cc, octave.cc, octave.h, 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-cdm-cm.cc, op-cdm-dm.cc, op-cdm-m.cc, op-cell.cc, op-chm.cc, op-class.cc, op-cm-cdm.cc, op-cm-cm.cc, op-cm-cs.cc, op-cm-dm.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-cdm.cc, op-dm-cm.cc, op-dm-dm.cc, op-dm-m.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-fcm.cc, op-fcdm-fdm.cc, op-fcdm-fm.cc, op-fcm-fcdm.cc, op-fcm-fcm.cc, op-fcm-fcs.cc, op-fcm-fdm.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-fcdm.cc, op-fdm-fcm.cc, op-fdm-fdm.cc, op-fdm-fm.cc, op-float-conv.cc, op-fm-fcdm.cc, op-fm-fcm.cc, op-fm-fcs.cc, op-fm-fdm.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-cdm.cc, op-m-cm.cc, op-m-cs.cc, op-m-dm.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-loop.h, 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-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, MArray-C.cc, MArray-d.cc, MArray-f.cc, MArray-fC.cc, MArray-i.cc, MArray-s.cc, MSparse-C.cc, MSparse-d.cc, MatrixType.cc, PermMatrix.cc, Range.cc, Sparse-C.cc, Sparse-b.cc, Sparse-d.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, dim-vector.h, 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, uint16NDArray.cc, uint32NDArray.cc, uint64NDArray.cc, uint8NDArray.cc, Faddeeva.cc, blaswrap.c, cquit.c, f77-extern.cc, f77-fcn.c, f77-fcn.h, lo-error.c, lo-error.h, quit.cc, quit.h, liboctave-build-info.in.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, randmtzig.cc, randpoisson.cc, schur.cc, sparse-chol.cc, sparse-dmsolve.cc, sparse-lu.cc, sparse-qr.cc, svd.cc, mk-ops.awk, mx-defs.h, 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, pathlen.h, syswait.h, 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-cutils.h, lo-ieee.cc, lo-ieee.h, lo-regexp.cc, lo-utils.cc, oct-base64.cc, oct-glob.cc, oct-inttypes.cc, oct-inttypes.h, oct-locbuf.cc, oct-mutex.cc, oct-rl-edit.c, oct-rl-edit.h, oct-rl-hist.c, oct-rl-hist.h, oct-shlib.cc, oct-sort.cc, pathsearch.cc, singleton-cleanup.cc, sparse-sort.cc, sparse-util.cc, statdefs.h, str-vec.cc, unwind-prot.cc, url-transfer.cc, acinclude.m4, display-available.c, display-available.h, main-cli.cc, main-gui.cc, main.in.cc, mkoctfile.in.cc, octave-build-info.in.cc, octave-config.in.cc, shared-fcns.h: Use "#if ..." consistently instead of "#ifdef" and "#ifndef".
author John W. Eaton <jwe@octave.org>
date Tue, 17 May 2016 12:09:30 -0400
parents 40de9f8f23a6
children f4d7d0eb5b0c
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1 /*
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2
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4197fc428c7d maint: Update copyright notices for 2015.
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3 Copyright (C) 1996-2015 John W. Eaton
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4
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5 This file is part of Octave.
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6
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7 Octave is free software; you can redistribute it and/or modify it
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8 under the terms of the GNU General Public License as published by the
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9 Free Software Foundation; either version 3 of the License, or (at your
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10 option) any later version.
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11
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12 Octave is distributed in the hope that it will be useful, but WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with Octave; see the file COPYING. If not, see
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19 <http://www.gnu.org/licenses/>.
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20
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21 */
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22
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23 #if defined (HAVE_CONFIG_H)
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24 # include "config.h"
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25 #endif
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26
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27 #include <string>
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29 #include <iomanip>
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30 #include <iostream>
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31
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32 #include "Quad.h"
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33 #include "lo-mappers.h"
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34
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35 #include "defun.h"
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36 #include "error.h"
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37 #include "errwarn.h"
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38 #include "pager.h"
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39 #include "ovl.h"
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40 #include "ov-fcn.h"
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41 #include "unwind-prot.h"
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42 #include "utils.h"
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43 #include "variables.h"
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44
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45 #include "Quad-opts.cc"
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46
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47 #if defined (quad)
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48 # undef quad
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49 #endif
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50
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51 // Global pointer for user defined function required by quadrature functions.
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52 static octave_function *quad_fcn;
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53
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54 // Have we warned about imaginary values returned from user function?
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55 static bool warned_imaginary = false;
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56
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57 // Is this a recursive call?
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58 static int call_depth = 0;
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59
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60 double
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61 quad_user_function (double x)
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62 {
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63 double retval = 0.0;
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64
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65 octave_value_list args;
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66 args(0) = x;
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67
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68 if (quad_fcn)
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69 {
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70 octave_value_list tmp;
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72 try
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73 {
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74 tmp = quad_fcn->do_multi_index_op (1, args);
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75 }
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76 catch (octave_execution_exception& e)
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77 {
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78 err_user_supplied_eval (e, "quad");
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79 }
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80
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81 if (! tmp.length () || ! tmp(0).is_defined ())
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82 err_user_supplied_eval ("quad");
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83
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84 if (! warned_imaginary && tmp(0).is_complex_type ())
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85 {
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86 warning ("quad: ignoring imaginary part returned from user-supplied function");
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87 warned_imaginary = true;
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88 }
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89
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90 retval = tmp(0).xdouble_value ("quad: expecting user supplied function to return numeric value");
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91 }
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92
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93 return retval;
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94 }
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95
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96 float
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97 quad_float_user_function (float x)
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98 {
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99 float retval = 0.0;
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100
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101 octave_value_list args;
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102 args(0) = x;
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103
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104 if (quad_fcn)
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105 {
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106 octave_value_list tmp;
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107
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108 try
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109 {
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110 tmp = quad_fcn->do_multi_index_op (1, args);
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111 }
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112 catch (octave_execution_exception& e)
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113 {
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114 err_user_supplied_eval (e, "quad");
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115 }
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116
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117 if (! tmp.length () || ! tmp(0).is_defined ())
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118 err_user_supplied_eval ("quad");
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119
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120 if (! warned_imaginary && tmp(0).is_complex_type ())
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121 {
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122 warning ("quad: ignoring imaginary part returned from user-supplied function");
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123 warned_imaginary = true;
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124 }
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125
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126 retval = tmp(0).xfloat_value ("quad: expecting user supplied function to return numeric value");
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127 }
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128
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129 return retval;
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130 }
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131
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132 DEFUN (quad, args, ,
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133 "-*- texinfo -*-\n\
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134 @deftypefn {} {@var{q} =} quad (@var{f}, @var{a}, @var{b})\n\
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135 @deftypefnx {} {@var{q} =} quad (@var{f}, @var{a}, @var{b}, @var{tol})\n\
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136 @deftypefnx {} {@var{q} =} quad (@var{f}, @var{a}, @var{b}, @var{tol}, @var{sing})\n\
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137 @deftypefnx {} {[@var{q}, @var{ier}, @var{nfun}, @var{err}] =} quad (@dots{})\n\
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138 Numerically evaluate the integral of @var{f} from @var{a} to @var{b} using\n\
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139 Fortran routines from @w{@sc{quadpack}}.\n\
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140 \n\
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141 @var{f} is a function handle, inline function, or a string containing the\n\
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142 name of the function to evaluate. The function must have the form @code{y =\n\
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143 f (x)} where @var{y} and @var{x} are scalars.\n\
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144 \n\
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145 @var{a} and @var{b} are the lower and upper limits of integration. Either\n\
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146 or both may be infinite.\n\
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147 \n\
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148 The optional argument @var{tol} is a vector that specifies the desired\n\
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149 accuracy of the result. The first element of the vector is the desired\n\
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150 absolute tolerance, and the second element is the desired relative\n\
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151 tolerance. To choose a relative test only, set the absolute\n\
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152 tolerance to zero. To choose an absolute test only, set the relative\n\
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153 tolerance to zero. Both tolerances default to @code{sqrt (eps)} or\n\
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154 approximately @math{1.5e^{-8}}.\n\
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155 \n\
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156 The optional argument @var{sing} is a vector of values at which the\n\
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157 integrand is known to be singular.\n\
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158 \n\
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159 The result of the integration is returned in @var{q}.\n\
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160 \n\
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161 @var{ier} contains an integer error code (0 indicates a successful\n\
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162 integration).\n\
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163 \n\
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164 @var{nfun} indicates the number of function evaluations that were\n\
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165 made.\n\
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166 \n\
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167 @var{err} contains an estimate of the error in the solution.\n\
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168 \n\
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169 The function @code{quad_options} can set other optional parameters for\n\
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170 @code{quad}.\n\
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171 \n\
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172 Note: because @code{quad} is written in Fortran it cannot be called\n\
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173 recursively. This prevents its use in integrating over more than one\n\
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174 variable by routines @code{dblquad} and @code{triplequad}.\n\
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175 @seealso{quad_options, quadv, quadl, quadgk, quadcc, trapz, dblquad, triplequad}\n\
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176 @end deftypefn")
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177 {
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178 int nargin = args.length ();
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179
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180 if (nargin < 3 || nargin > 5)
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181 print_usage ();
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182
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183 warned_imaginary = false;
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184
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185 unwind_protect frame;
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186
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187 frame.protect_var (call_depth);
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188 call_depth++;
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189
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190 if (call_depth > 1)
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191 error ("quad: invalid recursive call");
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192
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193 std::string fcn_name;
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194
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195 if (args(0).is_function_handle () || args(0).is_inline_function ())
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196 quad_fcn = args(0).function_value ();
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197 else
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198 {
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199 fcn_name = unique_symbol_name ("__quad_fcn__");
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200 std::string fname = "function y = ";
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201 fname.append (fcn_name);
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202 fname.append ("(x) y = ");
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203 quad_fcn = extract_function (args(0), "quad", fcn_name, fname,
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204 "; endfunction");
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205 frame.add_fcn (clear_function, fcn_name);
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206 }
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207
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208 if (! quad_fcn)
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209 error ("quad: FCN argument is not a valid function name or handle");
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210
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211 octave_value_list retval;
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parents: 20915
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212
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213 if (args(1).is_single_type () || args(2).is_single_type ())
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214 {
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215 float a = args(1).xfloat_value ("quad: lower limit of integration A must be a scalar");
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216 float b = args(2).xfloat_value ("quad: upper limit of integration B must be a scalar");
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217
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218 int indefinite = 0;
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219 FloatIndefQuad::IntegralType indef_type
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220 = FloatIndefQuad::doubly_infinite;
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diff changeset
221 float bound = 0.0;
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diff changeset
222 if (xisinf (a) && xisinf (b))
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223 {
20802
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224 indefinite = 1;
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225 indef_type = FloatIndefQuad::doubly_infinite;
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diff changeset
226 }
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227 else if (xisinf (a))
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228 {
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229 indefinite = 1;
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230 bound = b;
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231 indef_type = FloatIndefQuad::neg_inf_to_bound;
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232 }
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233 else if (xisinf (b))
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234 {
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235 indefinite = 1;
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236 bound = a;
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237 indef_type = FloatIndefQuad::bound_to_inf;
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238 }
4954
ed0f3cb6d3d4 [project @ 2004-09-01 21:24:53 by jwe]
jwe
parents: 4140
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239
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240 octave_idx_type ier = 0;
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241 octave_idx_type nfun = 0;
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242 float abserr = 0.0;
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243 float val = 0.0;
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244 bool have_sing = false;
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245 FloatColumnVector sing;
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246 FloatColumnVector tol;
3243
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247
20802
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248 switch (nargin)
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249 {
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250 case 5:
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251 if (indefinite)
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252 error ("quad: singularities not allowed on infinite intervals");
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
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253
20802
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254 have_sing = true;
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
255
20802
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diff changeset
256 sing = args(4).xfloat_vector_value ("quad: fifth argument SING must be a vector vector of singularities");
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
257
20802
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258 case 4:
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diff changeset
259 tol = args(3).xfloat_vector_value ("quad: TOL must be a 1 or 2-element vector");
3243
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jwe
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260
20802
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261 switch (tol.numel ())
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diff changeset
262 {
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diff changeset
263 case 2:
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parents: 20785
diff changeset
264 quad_opts.set_single_precision_relative_tolerance (tol (1));
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diff changeset
265
8bb38ba1bad6 eliminate return statements after calls to print_usage
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diff changeset
266 case 1:
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diff changeset
267 quad_opts.set_single_precision_absolute_tolerance (tol (0));
10154
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268 break;
3243
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parents: 3131
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269
10154
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diff changeset
270 default:
20802
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diff changeset
271 error ("quad: TOL must be a 1 or 2-element vector");
10154
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272 }
3243
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parents: 3131
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273
20802
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274 case 3:
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275 if (indefinite)
10154
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276 {
20802
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277 FloatIndefQuad iq (quad_float_user_function, bound,
8bb38ba1bad6 eliminate return statements after calls to print_usage
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diff changeset
278 indef_type);
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diff changeset
279 iq.set_options (quad_opts);
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280 val = iq.float_integrate (ier, nfun, abserr);
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281 }
8bb38ba1bad6 eliminate return statements after calls to print_usage
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282 else
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283 {
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284 if (have_sing)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
285 {
20802
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286 FloatDefQuad dq (quad_float_user_function, a, b, sing);
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diff changeset
287 dq.set_options (quad_opts);
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288 val = dq.float_integrate (ier, nfun, abserr);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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289 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
290 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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diff changeset
291 {
20802
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diff changeset
292 FloatDefQuad dq (quad_float_user_function, a, b);
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diff changeset
293 dq.set_options (quad_opts);
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294 val = dq.float_integrate (ier, nfun, abserr);
10154
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295 }
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
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diff changeset
296 }
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diff changeset
297 break;
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diff changeset
298
8bb38ba1bad6 eliminate return statements after calls to print_usage
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diff changeset
299 default:
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diff changeset
300 panic_impossible ();
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diff changeset
301 break;
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diff changeset
302 }
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
303
20884
f1b2a2dbc0e1 2015 Code Sprint: use ovl () in C++ files.
José Luis García Pallero <jgpallero@gmail.com>
parents: 20853
diff changeset
304 retval = ovl (val, ier, nfun, abserr);
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
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diff changeset
305
8bb38ba1bad6 eliminate return statements after calls to print_usage
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diff changeset
306 }
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
307 else
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
308 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
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diff changeset
309 double a = args(1).xdouble_value ("quad: lower limit of integration A must be a scalar");
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diff changeset
310 double b = args(2).xdouble_value ("quad: upper limit of integration B must be a scalar");
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diff changeset
311
8bb38ba1bad6 eliminate return statements after calls to print_usage
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diff changeset
312 int indefinite = 0;
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diff changeset
313 IndefQuad::IntegralType indef_type = IndefQuad::doubly_infinite;
8bb38ba1bad6 eliminate return statements after calls to print_usage
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diff changeset
314 double bound = 0.0;
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diff changeset
315 if (xisinf (a) && xisinf (b))
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
316 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
317 indefinite = 1;
8bb38ba1bad6 eliminate return statements after calls to print_usage
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diff changeset
318 indef_type = IndefQuad::doubly_infinite;
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parents: 20785
diff changeset
319 }
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
320 else if (xisinf (a))
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
321 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
322 indefinite = 1;
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
323 bound = b;
8bb38ba1bad6 eliminate return statements after calls to print_usage
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diff changeset
324 indef_type = IndefQuad::neg_inf_to_bound;
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
325 }
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
326 else if (xisinf (b))
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
327 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
328 indefinite = 1;
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
329 bound = a;
8bb38ba1bad6 eliminate return statements after calls to print_usage
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diff changeset
330 indef_type = IndefQuad::bound_to_inf;
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
331 }
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
332
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
333 octave_idx_type ier = 0;
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
334 octave_idx_type nfun = 0;
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
335 double abserr = 0.0;
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
336 double val = 0.0;
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
337 bool have_sing = false;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
338 ColumnVector sing;
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
339 ColumnVector tol;
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
340
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
341 switch (nargin)
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
342 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
343 case 5:
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
344 if (indefinite)
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
345 error ("quad: singularities not allowed on infinite intervals");
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
346
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
347 have_sing = true;
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
348
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
349 sing = args(4).vector_value ("quad: fifth argument SING must be a vector vector of singularities");
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
350
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
351 case 4:
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
352 tol = args(3).xvector_value ("quad: TOL must be a 1 or 2-element vector");
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
353
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
354 switch (tol.numel ())
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
355 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
356 case 2:
8bb38ba1bad6 eliminate return statements after calls to print_usage
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parents: 20785
diff changeset
357 quad_opts.set_relative_tolerance (tol (1));
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
358
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
359 case 1:
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
360 quad_opts.set_absolute_tolerance (tol (0));
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
361 break;
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
362
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
363 default:
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
364 error ("quad: TOL must be a 1 or 2-element vector");
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
365 }
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
366
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
367 case 3:
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
368 if (indefinite)
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
369 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
370 IndefQuad iq (quad_user_function, bound, indef_type);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
371 iq.set_options (quad_opts);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
372 val = iq.integrate (ier, nfun, abserr);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
373 }
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
374 else
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
375 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
376 if (have_sing)
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
377 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
378 DefQuad dq (quad_user_function, a, b, sing);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
379 dq.set_options (quad_opts);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
380 val = dq.integrate (ier, nfun, abserr);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
381 }
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
382 else
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
383 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
384 DefQuad dq (quad_user_function, a, b);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
385 dq.set_options (quad_opts);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
386 val = dq.integrate (ier, nfun, abserr);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
387 }
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
388 }
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
389 break;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
390
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
391 default:
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
392 panic_impossible ();
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
393 break;
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
394 }
4954
ed0f3cb6d3d4 [project @ 2004-09-01 21:24:53 by jwe]
jwe
parents: 4140
diff changeset
395
20884
f1b2a2dbc0e1 2015 Code Sprint: use ovl () in C++ files.
José Luis García Pallero <jgpallero@gmail.com>
parents: 20853
diff changeset
396 retval = ovl (val, ier, nfun, abserr);
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
397 }
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
398
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
399 if (fcn_name.length ())
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
400 clear_function (fcn_name);
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
401
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
402 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
403 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
404
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
405 /*
14085
4e8f23ccadce test: Use internal prefix "__" for %!functions to avoid polluting workspace
Rik <octave@nomad.inbox5.com>
parents: 13915
diff changeset
406 %!function y = __f (x)
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
407 %! y = x + 1;
14085
4e8f23ccadce test: Use internal prefix "__" for %!functions to avoid polluting workspace
Rik <octave@nomad.inbox5.com>
parents: 13915
diff changeset
408 %!endfunction
4e8f23ccadce test: Use internal prefix "__" for %!functions to avoid polluting workspace
Rik <octave@nomad.inbox5.com>
parents: 13915
diff changeset
409
7562
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
410 %!test
14085
4e8f23ccadce test: Use internal prefix "__" for %!functions to avoid polluting workspace
Rik <octave@nomad.inbox5.com>
parents: 13915
diff changeset
411 %! [v, ier, nfun, err] = quad ("__f", 0, 5);
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
412 %! assert (ier, 0);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
413 %! assert (v, 17.5, sqrt (eps));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
414 %! assert (nfun > 0);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
415 %! assert (err < sqrt (eps));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
416
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
417 %!test
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
418 %! [v, ier, nfun, err] = quad ("__f", single (0), single (5));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
419 %! assert (ier, 0);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
420 %! assert (v, 17.5, sqrt (eps ("single")));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
421 %! assert (nfun > 0);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
422 %! assert (err < sqrt (eps ("single")));
7562
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
423
14085
4e8f23ccadce test: Use internal prefix "__" for %!functions to avoid polluting workspace
Rik <octave@nomad.inbox5.com>
parents: 13915
diff changeset
424 %!function y = __f (x)
7562
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
425 %! y = x .* sin (1 ./ x) .* sqrt (abs (1 - x));
14085
4e8f23ccadce test: Use internal prefix "__" for %!functions to avoid polluting workspace
Rik <octave@nomad.inbox5.com>
parents: 13915
diff changeset
426 %!endfunction
4e8f23ccadce test: Use internal prefix "__" for %!functions to avoid polluting workspace
Rik <octave@nomad.inbox5.com>
parents: 13915
diff changeset
427
7562
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
428 %!test
14085
4e8f23ccadce test: Use internal prefix "__" for %!functions to avoid polluting workspace
Rik <octave@nomad.inbox5.com>
parents: 13915
diff changeset
429 %! [v, ier, nfun, err] = quad ("__f", 0.001, 3);
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
430 %! assert (ier == 0 || ier == 1);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
431 %! assert (v, 1.98194120273598, sqrt (eps));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
432 %! assert (nfun > 0);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
433
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
434 %!test
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
435 %! [v, ier, nfun, err] = quad ("__f", single (0.001), single (3));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
436 %! assert (ier == 0 || ier == 1);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
437 %! assert (v, 1.98194120273598, sqrt (eps ("single")));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
438 %! assert (nfun > 0);
7562
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
439
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
440 %!error quad ()
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
441 %!error quad ("__f", 1, 2, 3, 4, 5)
7562
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
442
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
443 %!test
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
444 %! quad_options ("absolute tolerance", eps);
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
445 %! assert (quad_options ("absolute tolerance") == eps);
7562
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
446
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
447 %!error quad_options (1, 2, 3)
7562
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
448 */