Mercurial > octave
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 |
rev | line source |
---|---|
2928 | 1 /* |
2 | |
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3 Copyright (C) 1996-2015 John W. Eaton |
2928 | 4 |
5 This file is part of Octave. | |
6 | |
7 Octave is free software; you can redistribute it and/or modify it | |
8 under the terms of the GNU General Public License as published by the | |
7016 | 9 Free Software Foundation; either version 3 of the License, or (at your |
10 option) any later version. | |
2928 | 11 |
12 Octave is distributed in the hope that it will be useful, but WITHOUT | |
13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
15 for more details. | |
16 | |
17 You should have received a copy of the GNU General Public License | |
7016 | 18 along with Octave; see the file COPYING. If not, see |
19 <http://www.gnu.org/licenses/>. | |
2928 | 20 |
21 */ | |
22 | |
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23 #if defined (HAVE_CONFIG_H) |
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24 # include "config.h" |
2928 | 25 #endif |
26 | |
27 #include <string> | |
28 | |
3567 | 29 #include <iomanip> |
3523 | 30 #include <iostream> |
2928 | 31 |
32 #include "Quad.h" | |
33 #include "lo-mappers.h" | |
34 | |
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35 #include "defun.h" |
2928 | 36 #include "error.h" |
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37 #include "errwarn.h" |
2928 | 38 #include "pager.h" |
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39 #include "ovl.h" |
2968 | 40 #include "ov-fcn.h" |
3243 | 41 #include "unwind-prot.h" |
2928 | 42 #include "utils.h" |
43 #include "variables.h" | |
44 | |
3998 | 45 #include "Quad-opts.cc" |
46 | |
2928 | 47 #if defined (quad) |
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48 # undef quad |
2928 | 49 #endif |
50 | |
51 // Global pointer for user defined function required by quadrature functions. | |
2968 | 52 static octave_function *quad_fcn; |
2928 | 53 |
4140 | 54 // Have we warned about imaginary values returned from user function? |
55 static bool warned_imaginary = false; | |
56 | |
3243 | 57 // Is this a recursive call? |
58 static int call_depth = 0; | |
59 | |
2928 | 60 double |
61 quad_user_function (double x) | |
62 { | |
63 double retval = 0.0; | |
64 | |
65 octave_value_list args; | |
66 args(0) = x; | |
67 | |
68 if (quad_fcn) | |
69 { | |
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70 octave_value_list tmp; |
2928 | 71 |
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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 } |
2928 | 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 } |
4140 | 89 |
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90 retval = tmp(0).xdouble_value ("quad: expecting user supplied function to return numeric value"); |
2928 | 91 } |
92 | |
93 return retval; | |
94 } | |
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\ |
2928 | 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\ |
2928 | 147 \n\ |
3368 | 148 The optional argument @var{tol} is a vector that specifies the desired\n\ |
2928 | 149 accuracy of the result. The first element of the vector is the desired\n\ |
150 absolute tolerance, and the second element is the desired relative\n\ | |
3368 | 151 tolerance. To choose a relative test only, set the absolute\n\ |
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\ |
2928 | 155 \n\ |
156 The optional argument @var{sing} is a vector of values at which the\n\ | |
3368 | 157 integrand is known to be singular.\n\ |
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\ |
3964 | 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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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\ |
3368 | 176 @end deftypefn") |
2928 | 177 { |
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178 int nargin = args.length (); |
2928 | 179 |
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180 if (nargin < 3 || nargin > 5) |
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181 print_usage (); |
4954 | 182 |
4140 | 183 warned_imaginary = false; |
184 | |
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185 unwind_protect frame; |
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187 frame.protect_var (call_depth); |
3243 | 188 call_depth++; |
189 | |
190 if (call_depth > 1) | |
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191 error ("quad: invalid recursive call"); |
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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 |
3243 | 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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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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221 float bound = 0.0; |
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222 if (xisinf (a) && xisinf (b)) |
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223 { |
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224 indefinite = 1; |
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225 indef_type = FloatIndefQuad::doubly_infinite; |
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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 } |
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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; |
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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"); |
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253 |
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254 have_sing = true; |
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255 |
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256 sing = args(4).xfloat_vector_value ("quad: fifth argument SING must be a vector vector of singularities"); |
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257 |
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258 case 4: |
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259 tol = args(3).xfloat_vector_value ("quad: TOL must be a 1 or 2-element vector"); |
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261 switch (tol.numel ()) |
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262 { |
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263 case 2: |
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264 quad_opts.set_single_precision_relative_tolerance (tol (1)); |
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265 |
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266 case 1: |
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267 quad_opts.set_single_precision_absolute_tolerance (tol (0)); |
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268 break; |
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270 default: |
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271 error ("quad: TOL must be a 1 or 2-element vector"); |
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272 } |
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274 case 3: |
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275 if (indefinite) |
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276 { |
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277 FloatIndefQuad iq (quad_float_user_function, bound, |
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278 indef_type); |
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279 iq.set_options (quad_opts); |
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280 val = iq.float_integrate (ier, nfun, abserr); |
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281 } |
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282 else |
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283 { |
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284 if (have_sing) |
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285 { |
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286 FloatDefQuad dq (quad_float_user_function, a, b, sing); |
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287 dq.set_options (quad_opts); |
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288 val = dq.float_integrate (ier, nfun, abserr); |
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289 } |
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290 else |
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291 { |
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292 FloatDefQuad dq (quad_float_user_function, a, b); |
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293 dq.set_options (quad_opts); |
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294 val = dq.float_integrate (ier, nfun, abserr); |
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295 } |
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296 } |
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297 break; |
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298 |
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299 default: |
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300 panic_impossible (); |
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301 break; |
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302 } |
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303 |
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304 retval = ovl (val, ier, nfun, abserr); |
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305 |
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306 } |
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307 else |
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308 { |
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309 double a = args(1).xdouble_value ("quad: lower limit of integration A must be a scalar"); |
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310 double b = args(2).xdouble_value ("quad: upper limit of integration B must be a scalar"); |
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311 |
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312 int indefinite = 0; |
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313 IndefQuad::IntegralType indef_type = IndefQuad::doubly_infinite; |
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314 double bound = 0.0; |
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315 if (xisinf (a) && xisinf (b)) |
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316 { |
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317 indefinite = 1; |
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318 indef_type = IndefQuad::doubly_infinite; |
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319 } |
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320 else if (xisinf (a)) |
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321 { |
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322 indefinite = 1; |
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323 bound = b; |
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324 indef_type = IndefQuad::neg_inf_to_bound; |
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325 } |
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326 else if (xisinf (b)) |
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327 { |
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328 indefinite = 1; |
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329 bound = a; |
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330 indef_type = IndefQuad::bound_to_inf; |
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331 } |
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332 |
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333 octave_idx_type ier = 0; |
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334 octave_idx_type nfun = 0; |
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335 double abserr = 0.0; |
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336 double val = 0.0; |
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337 bool have_sing = false; |
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338 ColumnVector sing; |
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339 ColumnVector tol; |
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340 |
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341 switch (nargin) |
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342 { |
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343 case 5: |
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344 if (indefinite) |
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345 error ("quad: singularities not allowed on infinite intervals"); |
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346 |
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347 have_sing = true; |
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348 |
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349 sing = args(4).vector_value ("quad: fifth argument SING must be a vector vector of singularities"); |
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350 |
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351 case 4: |
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352 tol = args(3).xvector_value ("quad: TOL must be a 1 or 2-element vector"); |
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353 |
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354 switch (tol.numel ()) |
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355 { |
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356 case 2: |
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357 quad_opts.set_relative_tolerance (tol (1)); |
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358 |
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359 case 1: |
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360 quad_opts.set_absolute_tolerance (tol (0)); |
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361 break; |
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363 default: |
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364 error ("quad: TOL must be a 1 or 2-element vector"); |
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365 } |
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367 case 3: |
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368 if (indefinite) |
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369 { |
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370 IndefQuad iq (quad_user_function, bound, indef_type); |
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371 iq.set_options (quad_opts); |
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372 val = iq.integrate (ier, nfun, abserr); |
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373 } |
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374 else |
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375 { |
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376 if (have_sing) |
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377 { |
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378 DefQuad dq (quad_user_function, a, b, sing); |
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379 dq.set_options (quad_opts); |
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380 val = dq.integrate (ier, nfun, abserr); |
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381 } |
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382 else |
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383 { |
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384 DefQuad dq (quad_user_function, a, b); |
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385 dq.set_options (quad_opts); |
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386 val = dq.integrate (ier, nfun, abserr); |
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387 } |
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388 } |
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389 break; |
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390 |
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391 default: |
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392 panic_impossible (); |
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393 break; |
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394 } |
4954 | 395 |
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396 retval = ovl (val, ier, nfun, abserr); |
3243 | 397 } |
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398 |
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399 if (fcn_name.length ()) |
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400 clear_function (fcn_name); |
2928 | 401 |
402 return retval; | |
403 } | |
404 | |
405 /* | |
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406 %!function y = __f (x) |
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407 %! y = x + 1; |
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408 %!endfunction |
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409 |
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410 %!test |
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411 %! [v, ier, nfun, err] = quad ("__f", 0, 5); |
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412 %! assert (ier, 0); |
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413 %! assert (v, 17.5, sqrt (eps)); |
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414 %! assert (nfun > 0); |
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415 %! assert (err < sqrt (eps)); |
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416 |
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417 %!test |
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418 %! [v, ier, nfun, err] = quad ("__f", single (0), single (5)); |
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419 %! assert (ier, 0); |
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420 %! assert (v, 17.5, sqrt (eps ("single"))); |
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421 %! assert (nfun > 0); |
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422 %! assert (err < sqrt (eps ("single"))); |
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423 |
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424 %!function y = __f (x) |
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425 %! y = x .* sin (1 ./ x) .* sqrt (abs (1 - x)); |
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426 %!endfunction |
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427 |
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428 %!test |
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429 %! [v, ier, nfun, err] = quad ("__f", 0.001, 3); |
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430 %! assert (ier == 0 || ier == 1); |
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431 %! assert (v, 1.98194120273598, sqrt (eps)); |
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432 %! assert (nfun > 0); |
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433 |
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434 %!test |
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435 %! [v, ier, nfun, err] = quad ("__f", single (0.001), single (3)); |
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436 %! assert (ier == 0 || ier == 1); |
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437 %! assert (v, 1.98194120273598, sqrt (eps ("single"))); |
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438 %! assert (nfun > 0); |
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439 |
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440 %!error quad () |
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441 %!error quad ("__f", 1, 2, 3, 4, 5) |
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442 |
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443 %!test |
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444 %! quad_options ("absolute tolerance", eps); |
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445 %! assert (quad_options ("absolute tolerance") == eps); |
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446 |
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447 %!error quad_options (1, 2, 3) |
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448 */ |