Mercurial > octave-nkf
annotate libinterp/corefcn/quad.cc @ 17787:175b392e91fe
Use GNU style coding conventions for code in libinterp/
* libinterp/corefcn/Cell.h, libinterp/corefcn/__contourc__.cc,
libinterp/corefcn/__dispatch__.cc, libinterp/corefcn/__lin_interpn__.cc,
libinterp/corefcn/__pchip_deriv__.cc, libinterp/corefcn/__qp__.cc,
libinterp/corefcn/balance.cc, libinterp/corefcn/besselj.cc,
libinterp/corefcn/betainc.cc, libinterp/corefcn/bitfcns.cc,
libinterp/corefcn/bsxfun.cc, libinterp/corefcn/c-file-ptr-stream.cc,
libinterp/corefcn/c-file-ptr-stream.h, libinterp/corefcn/cellfun.cc,
libinterp/corefcn/colloc.cc, libinterp/corefcn/comment-list.h,
libinterp/corefcn/conv2.cc, libinterp/corefcn/daspk.cc,
libinterp/corefcn/dasrt.cc, libinterp/corefcn/dassl.cc,
libinterp/corefcn/data.cc, libinterp/corefcn/debug.cc,
libinterp/corefcn/defaults.cc, libinterp/corefcn/defaults.in.h,
libinterp/corefcn/defun-int.h, libinterp/corefcn/defun.cc,
libinterp/corefcn/det.cc, libinterp/corefcn/dirfns.cc,
libinterp/corefcn/display.cc, libinterp/corefcn/dlmread.cc,
libinterp/corefcn/dot.cc, libinterp/corefcn/dynamic-ld.cc,
libinterp/corefcn/dynamic-ld.h, libinterp/corefcn/eig.cc,
libinterp/corefcn/ellipj.cc, libinterp/corefcn/error.cc,
libinterp/corefcn/error.h, libinterp/corefcn/event-queue.h,
libinterp/corefcn/fft.cc, libinterp/corefcn/fft2.cc, libinterp/corefcn/fftn.cc,
libinterp/corefcn/file-io.cc, libinterp/corefcn/filter.cc,
libinterp/corefcn/find.cc, libinterp/corefcn/gammainc.cc,
libinterp/corefcn/gcd.cc, libinterp/corefcn/getgrent.cc,
libinterp/corefcn/getpwent.cc, libinterp/corefcn/getrusage.cc,
libinterp/corefcn/givens.cc, libinterp/corefcn/gl-render.cc,
libinterp/corefcn/gl2ps-renderer.cc, libinterp/corefcn/gl2ps-renderer.h,
libinterp/corefcn/graphics.cc, libinterp/corefcn/graphics.in.h,
libinterp/corefcn/gripes.cc, libinterp/corefcn/gripes.h,
libinterp/corefcn/help.cc, libinterp/corefcn/hess.cc,
libinterp/corefcn/hex2num.cc, libinterp/corefcn/input.cc,
libinterp/corefcn/input.h, libinterp/corefcn/inv.cc,
libinterp/corefcn/jit-ir.h, libinterp/corefcn/jit-typeinfo.cc,
libinterp/corefcn/jit-typeinfo.h, libinterp/corefcn/jit-util.h,
libinterp/corefcn/kron.cc, libinterp/corefcn/load-path.cc,
libinterp/corefcn/load-path.h, libinterp/corefcn/load-save.cc,
libinterp/corefcn/load-save.h, libinterp/corefcn/lookup.cc,
libinterp/corefcn/ls-ascii-helper.cc, libinterp/corefcn/ls-hdf5.cc,
libinterp/corefcn/ls-hdf5.h, libinterp/corefcn/ls-mat-ascii.cc,
libinterp/corefcn/ls-mat-ascii.h, libinterp/corefcn/ls-mat4.cc,
libinterp/corefcn/ls-mat5.cc, libinterp/corefcn/ls-mat5.h,
libinterp/corefcn/ls-oct-ascii.cc, libinterp/corefcn/lsode.cc,
libinterp/corefcn/lu.cc, libinterp/corefcn/luinc.cc,
libinterp/corefcn/mappers.cc, libinterp/corefcn/matrix_type.cc,
libinterp/corefcn/max.cc, libinterp/corefcn/md5sum.cc,
libinterp/corefcn/mex.cc, libinterp/corefcn/mexproto.h,
libinterp/corefcn/mgorth.cc, libinterp/corefcn/mxarray.in.h,
libinterp/corefcn/nproc.cc, libinterp/corefcn/oct-hist.cc,
libinterp/corefcn/oct-lvalue.h, libinterp/corefcn/oct-map.cc,
libinterp/corefcn/oct-map.h, libinterp/corefcn/oct-obj.h,
libinterp/corefcn/oct-prcstrm.h, libinterp/corefcn/oct-stdstrm.h,
libinterp/corefcn/oct-stream.cc, libinterp/corefcn/oct-stream.h,
libinterp/corefcn/octave-link.cc, libinterp/corefcn/octave-link.h,
libinterp/corefcn/pager.cc, libinterp/corefcn/pinv.cc,
libinterp/corefcn/pr-output.cc, libinterp/corefcn/procstream.h,
libinterp/corefcn/profiler.cc, libinterp/corefcn/pt-jit.cc,
libinterp/corefcn/pt-jit.h, libinterp/corefcn/quad.cc,
libinterp/corefcn/quadcc.cc, libinterp/corefcn/qz.cc,
libinterp/corefcn/rand.cc, libinterp/corefcn/rcond.cc,
libinterp/corefcn/regexp.cc, libinterp/corefcn/schur.cc,
libinterp/corefcn/sighandlers.cc, libinterp/corefcn/sighandlers.h,
libinterp/corefcn/sparse-xdiv.cc, libinterp/corefcn/sparse-xdiv.h,
libinterp/corefcn/sparse-xpow.cc, libinterp/corefcn/sparse.cc,
libinterp/corefcn/spparms.cc, libinterp/corefcn/sqrtm.cc,
libinterp/corefcn/str2double.cc, libinterp/corefcn/strfind.cc,
libinterp/corefcn/strfns.cc, libinterp/corefcn/sub2ind.cc,
libinterp/corefcn/svd.cc, libinterp/corefcn/syl.cc,
libinterp/corefcn/symtab.cc, libinterp/corefcn/symtab.h,
libinterp/corefcn/syscalls.cc, libinterp/corefcn/sysdep.cc,
libinterp/corefcn/sysdep.h, libinterp/corefcn/time.cc,
libinterp/corefcn/toplev.cc, libinterp/corefcn/toplev.h,
libinterp/corefcn/tril.cc, libinterp/corefcn/txt-eng-ft.cc,
libinterp/corefcn/txt-eng-ft.h, libinterp/corefcn/txt-eng.h,
libinterp/corefcn/typecast.cc, libinterp/corefcn/urlwrite.cc,
libinterp/corefcn/utils.cc, libinterp/corefcn/variables.cc,
libinterp/corefcn/variables.h, libinterp/corefcn/xdiv.cc,
libinterp/corefcn/xdiv.h, libinterp/corefcn/xnorm.h, libinterp/corefcn/xpow.cc,
libinterp/corefcn/xpow.h, libinterp/corefcn/zfstream.cc,
libinterp/corefcn/zfstream.h, libinterp/dldfcn/__delaunayn__.cc,
libinterp/dldfcn/__dsearchn__.cc, libinterp/dldfcn/__eigs__.cc,
libinterp/dldfcn/__fltk_uigetfile__.cc, libinterp/dldfcn/__glpk__.cc,
libinterp/dldfcn/__init_fltk__.cc, libinterp/dldfcn/__init_gnuplot__.cc,
libinterp/dldfcn/__magick_read__.cc, libinterp/dldfcn/__voronoi__.cc,
libinterp/dldfcn/amd.cc, libinterp/dldfcn/ccolamd.cc, libinterp/dldfcn/chol.cc,
libinterp/dldfcn/colamd.cc, libinterp/dldfcn/convhulln.cc,
libinterp/dldfcn/dmperm.cc, libinterp/dldfcn/fftw.cc, libinterp/dldfcn/qr.cc,
libinterp/dldfcn/symbfact.cc, libinterp/dldfcn/symrcm.cc,
libinterp/dldfcn/tsearch.cc, libinterp/octave-value/ov-base-diag.cc,
libinterp/octave-value/ov-base-diag.h, libinterp/octave-value/ov-base-int.cc,
libinterp/octave-value/ov-base-int.h, libinterp/octave-value/ov-base-mat.h,
libinterp/octave-value/ov-base-scalar.cc,
libinterp/octave-value/ov-base-scalar.h,
libinterp/octave-value/ov-base-sparse.cc,
libinterp/octave-value/ov-base-sparse.h, libinterp/octave-value/ov-base.cc,
libinterp/octave-value/ov-base.h, libinterp/octave-value/ov-bool-mat.cc,
libinterp/octave-value/ov-bool-mat.h, libinterp/octave-value/ov-bool-sparse.cc,
libinterp/octave-value/ov-bool-sparse.h, libinterp/octave-value/ov-bool.cc,
libinterp/octave-value/ov-bool.h, libinterp/octave-value/ov-builtin.cc,
libinterp/octave-value/ov-builtin.h, libinterp/octave-value/ov-cell.cc,
libinterp/octave-value/ov-cell.h, libinterp/octave-value/ov-ch-mat.cc,
libinterp/octave-value/ov-ch-mat.h, libinterp/octave-value/ov-class.cc,
libinterp/octave-value/ov-class.h, libinterp/octave-value/ov-colon.h,
libinterp/octave-value/ov-complex.cc, libinterp/octave-value/ov-complex.h,
libinterp/octave-value/ov-cx-diag.cc, libinterp/octave-value/ov-cx-diag.h,
libinterp/octave-value/ov-cx-mat.cc, libinterp/octave-value/ov-cx-mat.h,
libinterp/octave-value/ov-cx-sparse.cc, libinterp/octave-value/ov-cx-sparse.h,
libinterp/octave-value/ov-dld-fcn.h, libinterp/octave-value/ov-fcn-handle.cc,
libinterp/octave-value/ov-fcn-handle.h,
libinterp/octave-value/ov-fcn-inline.cc,
libinterp/octave-value/ov-fcn-inline.h, libinterp/octave-value/ov-fcn.h,
libinterp/octave-value/ov-float.cc, libinterp/octave-value/ov-float.h,
libinterp/octave-value/ov-flt-complex.cc,
libinterp/octave-value/ov-flt-complex.h,
libinterp/octave-value/ov-flt-cx-diag.cc,
libinterp/octave-value/ov-flt-cx-diag.h,
libinterp/octave-value/ov-flt-cx-mat.cc,
libinterp/octave-value/ov-flt-cx-mat.h,
libinterp/octave-value/ov-flt-re-diag.cc,
libinterp/octave-value/ov-flt-re-diag.h,
libinterp/octave-value/ov-flt-re-mat.cc,
libinterp/octave-value/ov-flt-re-mat.h, libinterp/octave-value/ov-int16.cc,
libinterp/octave-value/ov-int32.cc, libinterp/octave-value/ov-int64.cc,
libinterp/octave-value/ov-int8.cc, libinterp/octave-value/ov-intx.h,
libinterp/octave-value/ov-java.cc, libinterp/octave-value/ov-lazy-idx.h,
libinterp/octave-value/ov-mex-fcn.cc, libinterp/octave-value/ov-mex-fcn.h,
libinterp/octave-value/ov-null-mat.cc, libinterp/octave-value/ov-null-mat.h,
libinterp/octave-value/ov-oncleanup.cc, libinterp/octave-value/ov-perm.cc,
libinterp/octave-value/ov-perm.h, libinterp/octave-value/ov-range.cc,
libinterp/octave-value/ov-range.h, libinterp/octave-value/ov-re-diag.cc,
libinterp/octave-value/ov-re-diag.h, libinterp/octave-value/ov-re-mat.cc,
libinterp/octave-value/ov-re-mat.h, libinterp/octave-value/ov-re-sparse.cc,
libinterp/octave-value/ov-re-sparse.h, libinterp/octave-value/ov-scalar.cc,
libinterp/octave-value/ov-scalar.h, libinterp/octave-value/ov-str-mat.cc,
libinterp/octave-value/ov-str-mat.h, libinterp/octave-value/ov-struct.cc,
libinterp/octave-value/ov-struct.h, libinterp/octave-value/ov-type-conv.h,
libinterp/octave-value/ov-typeinfo.cc, libinterp/octave-value/ov-typeinfo.h,
libinterp/octave-value/ov-uint16.cc, libinterp/octave-value/ov-uint32.cc,
libinterp/octave-value/ov-uint64.cc, libinterp/octave-value/ov-uint8.cc,
libinterp/octave-value/ov-usr-fcn.cc, libinterp/octave-value/ov-usr-fcn.h,
libinterp/octave-value/ov.cc, libinterp/octave-value/ov.h, libinterp/octave.cc,
libinterp/operators/op-b-bm.cc, libinterp/operators/op-b-sbm.cc,
libinterp/operators/op-bm-b.cc, libinterp/operators/op-bm-bm.cc,
libinterp/operators/op-cdm-cdm.cc, libinterp/operators/op-chm.cc,
libinterp/operators/op-class.cc, libinterp/operators/op-cm-cm.cc,
libinterp/operators/op-cm-cs.cc, libinterp/operators/op-cm-s.cc,
libinterp/operators/op-cm-scm.cc, libinterp/operators/op-cm-sm.cc,
libinterp/operators/op-cs-cm.cc, libinterp/operators/op-cs-cs.cc,
libinterp/operators/op-cs-scm.cc, libinterp/operators/op-cs-sm.cc,
libinterp/operators/op-dm-dm.cc, libinterp/operators/op-dm-scm.cc,
libinterp/operators/op-double-conv.cc, libinterp/operators/op-fcdm-fcdm.cc,
libinterp/operators/op-fcm-fcm.cc, libinterp/operators/op-fcm-fcs.cc,
libinterp/operators/op-fcm-fm.cc, libinterp/operators/op-fcm-fs.cc,
libinterp/operators/op-fcs-fcm.cc, libinterp/operators/op-fcs-fcs.cc,
libinterp/operators/op-fcs-fm.cc, libinterp/operators/op-fcs-fs.cc,
libinterp/operators/op-fdm-fdm.cc, libinterp/operators/op-float-conv.cc,
libinterp/operators/op-fm-fcm.cc, libinterp/operators/op-fm-fcs.cc,
libinterp/operators/op-fm-fm.cc, libinterp/operators/op-fm-fs.cc,
libinterp/operators/op-fs-fcm.cc, libinterp/operators/op-fs-fcs.cc,
libinterp/operators/op-fs-fm.cc, libinterp/operators/op-fs-fs.cc,
libinterp/operators/op-m-cm.cc, libinterp/operators/op-m-cs.cc,
libinterp/operators/op-m-m.cc, libinterp/operators/op-m-s.cc,
libinterp/operators/op-m-scm.cc, libinterp/operators/op-m-sm.cc,
libinterp/operators/op-pm-scm.cc, libinterp/operators/op-range.cc,
libinterp/operators/op-s-cm.cc, libinterp/operators/op-s-cs.cc,
libinterp/operators/op-s-scm.cc, libinterp/operators/op-sbm-b.cc,
libinterp/operators/op-sbm-bm.cc, libinterp/operators/op-sbm-sbm.cc,
libinterp/operators/op-scm-cm.cc, libinterp/operators/op-scm-cs.cc,
libinterp/operators/op-scm-m.cc, libinterp/operators/op-scm-s.cc,
libinterp/operators/op-scm-scm.cc, libinterp/operators/op-scm-sm.cc,
libinterp/operators/op-sm-cm.cc, libinterp/operators/op-sm-m.cc,
libinterp/operators/op-sm-s.cc, libinterp/operators/op-sm-scm.cc,
libinterp/operators/op-sm-sm.cc, libinterp/operators/op-str-m.cc,
libinterp/operators/op-str-s.cc, libinterp/operators/op-str-str.cc,
libinterp/operators/ops.h, libinterp/parse-tree/lex.h,
libinterp/parse-tree/parse.h, libinterp/parse-tree/pt-arg-list.cc,
libinterp/parse-tree/pt-arg-list.h, libinterp/parse-tree/pt-assign.cc,
libinterp/parse-tree/pt-assign.h, libinterp/parse-tree/pt-binop.cc,
libinterp/parse-tree/pt-binop.h, libinterp/parse-tree/pt-bp.h,
libinterp/parse-tree/pt-cbinop.cc, libinterp/parse-tree/pt-check.cc,
libinterp/parse-tree/pt-colon.cc, libinterp/parse-tree/pt-colon.h,
libinterp/parse-tree/pt-const.cc, libinterp/parse-tree/pt-decl.cc,
libinterp/parse-tree/pt-decl.h, libinterp/parse-tree/pt-eval.cc,
libinterp/parse-tree/pt-except.h, libinterp/parse-tree/pt-exp.h,
libinterp/parse-tree/pt-fcn-handle.cc, libinterp/parse-tree/pt-id.cc,
libinterp/parse-tree/pt-id.h, libinterp/parse-tree/pt-idx.cc,
libinterp/parse-tree/pt-idx.h, libinterp/parse-tree/pt-loop.h,
libinterp/parse-tree/pt-mat.cc, libinterp/parse-tree/pt-misc.cc,
libinterp/parse-tree/pt-misc.h, libinterp/parse-tree/pt-pr-code.cc,
libinterp/parse-tree/pt-select.h, libinterp/parse-tree/pt-stmt.h,
libinterp/parse-tree/token.h, libinterp/version.cc:
Use GNU style coding conventions for code in libinterp/
author | Rik <rik@octave.org> |
---|---|
date | Mon, 28 Oct 2013 19:51:46 -0700 |
parents | d63878346099 |
children | 6825522c25e4 |
rev | line source |
---|---|
2928 | 1 /* |
2 | |
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3 Copyright (C) 1996-2013 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 | |
23 #ifdef HAVE_CONFIG_H | |
24 #include <config.h> | |
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" |
37 #include "gripes.h" | |
38 #include "pager.h" | |
39 #include "oct-obj.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) |
48 #undef quad | |
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 { | |
3544 | 70 octave_value_list tmp = quad_fcn->do_multi_index_op (1, args); |
2928 | 71 |
72 if (error_state) | |
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73 { |
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74 quad_integration_error = 1; // FIXME |
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75 gripe_user_supplied_eval ("quad"); |
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76 return retval; |
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77 } |
2928 | 78 |
79 if (tmp.length () && tmp(0).is_defined ()) | |
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80 { |
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81 if (! warned_imaginary && tmp(0).is_complex_type ()) |
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82 { |
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83 warning ("quad: ignoring imaginary part returned from user-supplied function"); |
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84 warned_imaginary = true; |
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85 } |
4140 | 86 |
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87 retval = tmp(0).double_value (); |
2928 | 88 |
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89 if (error_state) |
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90 { |
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91 quad_integration_error = 1; // FIXME |
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92 gripe_user_supplied_eval ("quad"); |
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93 } |
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94 } |
2928 | 95 else |
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96 { |
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97 quad_integration_error = 1; // FIXME |
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98 gripe_user_supplied_eval ("quad"); |
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99 } |
2928 | 100 } |
101 | |
102 return retval; | |
103 } | |
104 | |
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105 float |
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106 quad_float_user_function (float x) |
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107 { |
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108 float retval = 0.0; |
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109 |
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110 octave_value_list args; |
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111 args(0) = x; |
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112 |
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113 if (quad_fcn) |
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114 { |
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115 octave_value_list tmp = quad_fcn->do_multi_index_op (1, args); |
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116 |
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117 if (error_state) |
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118 { |
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119 quad_integration_error = 1; // FIXME |
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120 gripe_user_supplied_eval ("quad"); |
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121 return retval; |
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122 } |
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123 |
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124 if (tmp.length () && tmp(0).is_defined ()) |
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125 { |
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126 if (! warned_imaginary && tmp(0).is_complex_type ()) |
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127 { |
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128 warning ("quad: ignoring imaginary part returned from user-supplied function"); |
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129 warned_imaginary = true; |
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130 } |
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131 |
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132 retval = tmp(0).float_value (); |
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133 |
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134 if (error_state) |
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135 { |
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136 quad_integration_error = 1; // FIXME |
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137 gripe_user_supplied_eval ("quad"); |
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138 } |
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139 } |
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140 else |
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141 { |
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142 quad_integration_error = 1; // FIXME |
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143 gripe_user_supplied_eval ("quad"); |
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144 } |
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145 } |
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146 |
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147 return retval; |
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148 } |
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149 |
3323 | 150 #define QUAD_ABORT() \ |
151 do \ | |
152 { \ | |
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153 if (fcn_name.length ()) \ |
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154 clear_function (fcn_name); \ |
3323 | 155 return retval; \ |
156 } \ | |
157 while (0) | |
158 | |
159 #define QUAD_ABORT1(msg) \ | |
160 do \ | |
161 { \ | |
3747 | 162 ::error ("quad: " msg); \ |
3323 | 163 QUAD_ABORT (); \ |
164 } \ | |
165 while (0) | |
166 | |
167 #define QUAD_ABORT2(fmt, arg) \ | |
168 do \ | |
169 { \ | |
3747 | 170 ::error ("quad: " fmt, arg); \ |
3323 | 171 QUAD_ABORT (); \ |
172 } \ | |
173 while (0) | |
174 | |
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175 DEFUN (quad, args, nargout, |
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176 "-*- texinfo -*-\n\ |
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177 @deftypefn {Built-in Function} {@var{q} =} quad (@var{f}, @var{a}, @var{b})\n\ |
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178 @deftypefnx {Built-in Function} {@var{q} =} quad (@var{f}, @var{a}, @var{b}, @var{tol})\n\ |
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179 @deftypefnx {Built-in Function} {@var{q} =} quad (@var{f}, @var{a}, @var{b}, @var{tol}, @var{sing})\n\ |
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180 @deftypefnx {Built-in Function} {[@var{q}, @var{ier}, @var{nfun}, @var{err}] =} quad (@dots{})\n\ |
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181 Numerically evaluate the integral of @var{f} from @var{a} to @var{b} using\n\ |
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182 Fortran routines from @w{@sc{quadpack}}. @var{f} is a function handle,\n\ |
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183 inline function, or a string containing the name of the function to\n\ |
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184 evaluate. The function must have the form @code{y = f (x)} where @var{y} and\n\ |
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185 @var{x} are scalars.\n\ |
2928 | 186 \n\ |
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187 @var{a} and @var{b} are the lower and upper limits of integration. Either\n\ |
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188 or both may be infinite.\n\ |
2928 | 189 \n\ |
3368 | 190 The optional argument @var{tol} is a vector that specifies the desired\n\ |
2928 | 191 accuracy of the result. The first element of the vector is the desired\n\ |
192 absolute tolerance, and the second element is the desired relative\n\ | |
3368 | 193 tolerance. To choose a relative test only, set the absolute\n\ |
194 tolerance to zero. To choose an absolute test only, set the relative\n\ | |
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195 tolerance to zero. Both tolerances default to @code{sqrt (eps)} or\n\ |
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196 approximately @math{1.5e^{-8}}.\n\ |
2928 | 197 \n\ |
198 The optional argument @var{sing} is a vector of values at which the\n\ | |
3368 | 199 integrand is known to be singular.\n\ |
200 \n\ | |
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201 The result of the integration is returned in @var{q}. @var{ier}\n\ |
3368 | 202 contains an integer error code (0 indicates a successful integration).\n\ |
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203 @var{nfun} indicates the number of function evaluations that were\n\ |
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204 made, and @var{err} contains an estimate of the error in the\n\ |
3368 | 205 solution.\n\ |
3964 | 206 \n\ |
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207 The function @code{quad_options} can set other optional\n\ |
3964 | 208 parameters for @code{quad}.\n\ |
6741 | 209 \n\ |
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210 Note: because @code{quad} is written in Fortran it cannot be called\n\ |
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211 recursively. This prevents its use in integrating over more than one\n\ |
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212 variable by routines @code{dblquad} and @code{triplequad}.\n\ |
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213 @seealso{quad_options, quadv, quadl, quadgk, quadcc, trapz, dblquad, triplequad}\n\ |
3368 | 214 @end deftypefn") |
2928 | 215 { |
216 octave_value_list retval; | |
217 | |
4954 | 218 std::string fcn_name; |
219 | |
4140 | 220 warned_imaginary = false; |
221 | |
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222 unwind_protect frame; |
3243 | 223 |
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224 frame.protect_var (call_depth); |
3243 | 225 call_depth++; |
226 | |
227 if (call_depth > 1) | |
3323 | 228 QUAD_ABORT1 ("invalid recursive call"); |
3243 | 229 |
2928 | 230 int nargin = args.length (); |
231 | |
3243 | 232 if (nargin > 2 && nargin < 6 && nargout < 5) |
233 { | |
4954 | 234 if (args(0).is_function_handle () || args(0).is_inline_function ()) |
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235 quad_fcn = args(0).function_value (); |
4954 | 236 else |
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237 { |
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238 fcn_name = unique_symbol_name ("__quad_fcn_"); |
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239 std::string fname = "function y = "; |
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240 fname.append (fcn_name); |
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241 fname.append ("(x) y = "); |
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242 quad_fcn = extract_function (args(0), "quad", fcn_name, fname, |
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243 "; endfunction"); |
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244 } |
4954 | 245 |
3243 | 246 if (! quad_fcn) |
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247 QUAD_ABORT (); |
3243 | 248 |
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249 if (args(1).is_single_type () || args(2).is_single_type ()) |
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250 { |
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251 float a = args(1).float_value (); |
3243 | 252 |
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253 if (error_state) |
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254 QUAD_ABORT1 ("expecting second argument to be a scalar"); |
3998 | 255 |
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256 float b = args(2).float_value (); |
3243 | 257 |
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258 if (error_state) |
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259 QUAD_ABORT1 ("expecting third argument to be a scalar"); |
3243 | 260 |
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261 int indefinite = 0; |
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262 FloatIndefQuad::IntegralType indef_type |
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263 = FloatIndefQuad::doubly_infinite; |
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264 float bound = 0.0; |
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265 if (xisinf (a) && xisinf (b)) |
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266 { |
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267 indefinite = 1; |
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268 indef_type = FloatIndefQuad::doubly_infinite; |
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269 } |
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270 else if (xisinf (a)) |
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271 { |
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272 indefinite = 1; |
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273 bound = b; |
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274 indef_type = FloatIndefQuad::neg_inf_to_bound; |
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275 } |
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276 else if (xisinf (b)) |
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277 { |
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278 indefinite = 1; |
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279 bound = a; |
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280 indef_type = FloatIndefQuad::bound_to_inf; |
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281 } |
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283 octave_idx_type ier = 0; |
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284 octave_idx_type nfun = 0; |
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285 float abserr = 0.0; |
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286 float val = 0.0; |
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287 bool have_sing = false; |
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288 FloatColumnVector sing; |
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289 FloatColumnVector tol; |
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290 |
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291 switch (nargin) |
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292 { |
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293 case 5: |
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294 if (indefinite) |
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295 QUAD_ABORT1 ("singularities not allowed on infinite intervals"); |
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296 |
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297 have_sing = true; |
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298 |
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299 sing = FloatColumnVector (args(4).float_vector_value ()); |
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301 if (error_state) |
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302 QUAD_ABORT1 ("expecting vector of singularities as fourth argument"); |
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303 |
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304 case 4: |
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305 tol = FloatColumnVector (args(3).float_vector_value ()); |
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306 |
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307 if (error_state) |
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308 QUAD_ABORT1 ("expecting vector of tolerances as fifth argument"); |
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309 |
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310 switch (tol.capacity ()) |
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311 { |
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312 case 2: |
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313 quad_opts.set_single_precision_relative_tolerance (tol (1)); |
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314 |
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315 case 1: |
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316 quad_opts.set_single_precision_absolute_tolerance (tol (0)); |
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317 break; |
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318 |
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319 default: |
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320 QUAD_ABORT1 ("expecting tol to contain no more than two values"); |
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321 } |
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323 case 3: |
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324 if (indefinite) |
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325 { |
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326 FloatIndefQuad iq (quad_float_user_function, bound, |
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327 indef_type); |
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328 iq.set_options (quad_opts); |
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329 val = iq.float_integrate (ier, nfun, abserr); |
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330 } |
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331 else |
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332 { |
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333 if (have_sing) |
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334 { |
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335 FloatDefQuad dq (quad_float_user_function, a, b, sing); |
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336 dq.set_options (quad_opts); |
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337 val = dq.float_integrate (ier, nfun, abserr); |
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338 } |
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339 else |
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340 { |
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341 FloatDefQuad dq (quad_float_user_function, a, b); |
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342 dq.set_options (quad_opts); |
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343 val = dq.float_integrate (ier, nfun, abserr); |
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344 } |
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345 } |
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346 break; |
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348 default: |
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349 panic_impossible (); |
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350 break; |
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351 } |
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352 |
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353 retval(3) = abserr; |
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354 retval(2) = nfun; |
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355 retval(1) = ier; |
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356 retval(0) = val; |
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357 |
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358 } |
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359 else |
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360 { |
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361 double a = args(1).double_value (); |
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362 |
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363 if (error_state) |
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364 QUAD_ABORT1 ("expecting second argument to be a scalar"); |
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365 |
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366 double b = args(2).double_value (); |
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367 |
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368 if (error_state) |
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369 QUAD_ABORT1 ("expecting third argument to be a scalar"); |
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370 |
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371 int indefinite = 0; |
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372 IndefQuad::IntegralType indef_type = IndefQuad::doubly_infinite; |
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373 double bound = 0.0; |
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374 if (xisinf (a) && xisinf (b)) |
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375 { |
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376 indefinite = 1; |
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377 indef_type = IndefQuad::doubly_infinite; |
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378 } |
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379 else if (xisinf (a)) |
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380 { |
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381 indefinite = 1; |
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382 bound = b; |
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383 indef_type = IndefQuad::neg_inf_to_bound; |
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384 } |
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385 else if (xisinf (b)) |
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386 { |
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387 indefinite = 1; |
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388 bound = a; |
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389 indef_type = IndefQuad::bound_to_inf; |
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390 } |
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392 octave_idx_type ier = 0; |
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393 octave_idx_type nfun = 0; |
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394 double abserr = 0.0; |
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395 double val = 0.0; |
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396 bool have_sing = false; |
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397 ColumnVector sing; |
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398 ColumnVector tol; |
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399 |
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400 switch (nargin) |
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401 { |
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402 case 5: |
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403 if (indefinite) |
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404 QUAD_ABORT1 ("singularities not allowed on infinite intervals"); |
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405 |
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406 have_sing = true; |
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407 |
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408 sing = ColumnVector (args(4).vector_value ()); |
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409 |
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410 if (error_state) |
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411 QUAD_ABORT1 ("expecting vector of singularities as fourth argument"); |
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412 |
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413 case 4: |
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414 tol = ColumnVector (args(3).vector_value ()); |
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415 |
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416 if (error_state) |
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417 QUAD_ABORT1 ("expecting vector of tolerances as fifth argument"); |
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418 |
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419 switch (tol.capacity ()) |
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420 { |
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421 case 2: |
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422 quad_opts.set_relative_tolerance (tol (1)); |
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423 |
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424 case 1: |
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425 quad_opts.set_absolute_tolerance (tol (0)); |
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426 break; |
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427 |
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428 default: |
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429 QUAD_ABORT1 ("expecting tol to contain no more than two values"); |
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430 } |
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431 |
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432 case 3: |
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433 if (indefinite) |
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434 { |
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435 IndefQuad iq (quad_user_function, bound, indef_type); |
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436 iq.set_options (quad_opts); |
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437 val = iq.integrate (ier, nfun, abserr); |
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438 } |
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439 else |
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440 { |
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441 if (have_sing) |
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442 { |
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443 DefQuad dq (quad_user_function, a, b, sing); |
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444 dq.set_options (quad_opts); |
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445 val = dq.integrate (ier, nfun, abserr); |
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446 } |
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447 else |
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448 { |
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449 DefQuad dq (quad_user_function, a, b); |
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450 dq.set_options (quad_opts); |
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451 val = dq.integrate (ier, nfun, abserr); |
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452 } |
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453 } |
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454 break; |
3243 | 455 |
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456 default: |
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457 panic_impossible (); |
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458 break; |
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459 } |
3243 | 460 |
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461 retval(3) = abserr; |
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462 retval(2) = nfun; |
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463 retval(1) = ier; |
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464 retval(0) = val; |
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465 } |
4954 | 466 |
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467 if (fcn_name.length ()) |
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468 clear_function (fcn_name); |
3243 | 469 } |
470 else | |
5823 | 471 print_usage (); |
2928 | 472 |
473 return retval; | |
474 } | |
475 | |
476 /* | |
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477 %!function y = __f (x) |
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478 %! y = x + 1; |
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479 %!endfunction |
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480 |
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481 %!test |
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482 %! [v, ier, nfun, err] = quad ("__f", 0, 5); |
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483 %! assert (ier, 0); |
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484 %! assert (v, 17.5, sqrt (eps)); |
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485 %! assert (nfun > 0); |
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486 %! assert (err < sqrt (eps)); |
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487 |
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488 %!test |
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489 %! [v, ier, nfun, err] = quad ("__f", single (0), single (5)); |
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490 %! assert (ier, 0); |
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491 %! assert (v, 17.5, sqrt (eps ("single"))); |
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492 %! assert (nfun > 0); |
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493 %! assert (err < sqrt (eps ("single"))); |
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494 |
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495 %!function y = __f (x) |
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496 %! y = x .* sin (1 ./ x) .* sqrt (abs (1 - x)); |
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497 %!endfunction |
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498 |
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499 %!test |
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500 %! [v, ier, nfun, err] = quad ("__f", 0.001, 3); |
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501 %! assert (ier == 0 || ier == 1); |
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502 %! assert (v, 1.98194120273598, sqrt (eps)); |
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503 %! assert (nfun > 0); |
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504 |
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505 %!test |
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506 %! [v, ier, nfun, err] = quad ("__f", single (0.001), single (3)); |
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507 %! assert (ier == 0 || ier == 1); |
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508 %! assert (v, 1.98194120273598, sqrt (eps ("single"))); |
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509 %! assert (nfun > 0); |
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510 |
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511 %!error quad () |
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512 %!error quad ("__f", 1, 2, 3, 4, 5) |
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513 |
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514 %!test |
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515 %! quad_options ("absolute tolerance", eps); |
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516 %! assert (quad_options ("absolute tolerance") == eps); |
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517 |
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518 %!error quad_options (1, 2, 3) |
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changeset
|
519 */ |