annotate libinterp/corefcn/__lin_interpn__.cc @ 21301:40de9f8f23a6

Use '#include "config.h"' rather than <config.h>. * mk-octave-config-h.sh, mk-opts.pl, 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, ToolBarButton.cc, __init_qt__.cc, annotation-dialog.cc, gl-select.cc, module.mk, kpty.cpp, 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, file-editor-tab.cc, file-editor-tab.h, file-editor.cc, find-dialog.cc, marker.cc, 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-features.sh, build-env.in.cc, Cell.cc, __contourc__.cc, __dispatch__.cc, __dsearchn__.cc, __ichol__.cc, __ilu__.cc, __lin_interpn__.cc, __pchip_deriv__.cc, __qp__.cc, balance.cc, besselj.cc, betainc.cc, bitfcns.cc, bsxfun.cc, c-file-ptr-stream.cc, cdisplay.c, 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, 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, hook-fcn.cc, input.cc, inv.cc, jit-ir.cc, jit-typeinfo.cc, jit-util.cc, 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-utils.cc, lsode.cc, lu.cc, luinc.cc, mappers.cc, matrix_type.cc, max.cc, mex.cc, mgorth.cc, nproc.cc, oct-errno.in.cc, oct-fstrm.cc, oct-hdf5-types.cc, oct-hist.cc, oct-iostrm.cc, oct-lvalue.cc, oct-map.cc, oct-prcstrm.cc, oct-procbuf.cc, 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, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, sighandlers.cc, siglist.c, 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, __delaunayn__.cc, __eigs__.cc, __fltk_uigetfile__.cc, __glpk__.cc, __init_fltk__.cc, __init_gnuplot__.cc, __magick_read__.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, mkbuiltins, mkops, ov-base-diag.cc, ov-base-int.cc, ov-base-mat.cc, ov-base-scalar.cc, ov-base-sparse.cc, 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.cc, ovl.cc, octave.cc, op-b-b.cc, op-b-bm.cc, op-b-sbm.cc, op-bm-b.cc, op-bm-bm.cc, op-bm-sbm.cc, op-cdm-cdm.cc, op-cell.cc, op-chm.cc, op-class.cc, op-cm-cm.cc, op-cm-cs.cc, op-cm-m.cc, op-cm-s.cc, op-cm-scm.cc, op-cm-sm.cc, op-cs-cm.cc, op-cs-cs.cc, op-cs-m.cc, op-cs-s.cc, op-cs-scm.cc, op-cs-sm.cc, op-dm-dm.cc, op-dm-scm.cc, op-dm-sm.cc, op-dm-template.cc, op-dms-template.cc, op-double-conv.cc, op-fcdm-fcdm.cc, op-fcdm-fdm.cc, op-fcm-fcm.cc, op-fcm-fcs.cc, op-fcm-fm.cc, op-fcm-fs.cc, op-fcn.cc, op-fcs-fcm.cc, op-fcs-fcs.cc, op-fcs-fm.cc, op-fcs-fs.cc, op-fdm-fdm.cc, op-float-conv.cc, op-fm-fcm.cc, op-fm-fcs.cc, op-fm-fm.cc, op-fm-fs.cc, op-fs-fcm.cc, op-fs-fcs.cc, op-fs-fm.cc, op-fs-fs.cc, op-i16-i16.cc, op-i32-i32.cc, op-i64-i64.cc, op-i8-i8.cc, op-int-concat.cc, op-int-conv.cc, op-m-cm.cc, op-m-cs.cc, op-m-m.cc, op-m-s.cc, op-m-scm.cc, op-m-sm.cc, op-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-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-os.cc, Array-sym.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, DiagArray2.cc, MArray-C.cc, MArray-d.cc, MArray-f.cc, MArray-fC.cc, MArray-i.cc, MArray-s.cc, MArray.cc, MDiagArray2.cc, MSparse-C.cc, MSparse-d.cc, MatrixType.cc, PermMatrix.cc, Range.cc, Sparse-C.cc, Sparse-b.cc, Sparse-d.cc, Sparse.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, 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, intNDArray.cc, uint16NDArray.cc, uint32NDArray.cc, uint64NDArray.cc, uint8NDArray.cc, blaswrap.c, cquit.c, f77-extern.cc, f77-fcn.c, lo-error.c, quit.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, randgamma.c, randmtzig.c, randpoisson.c, schur.cc, sparse-chol.cc, sparse-dmsolve.cc, sparse-lu.cc, sparse-qr.cc, svd.cc, mk-ops.awk, 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, 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-ieee.cc, lo-regexp.cc, lo-utils.cc, oct-base64.cc, oct-glob.cc, oct-inttypes.cc, oct-locbuf.cc, oct-mutex.cc, oct-rl-edit.c, oct-rl-hist.c, oct-shlib.cc, oct-sort.cc, pathsearch.cc, singleton-cleanup.cc, sparse-sort.cc, sparse-util.cc, str-vec.cc, unwind-prot.cc, url-transfer.cc, display-available.c, main-cli.cc, main-gui.cc, main.in.cc, mkoctfile.in.cc, octave-config.in.cc: Use '#include "config.h"' rather than <config.h>.
author Rik <rik@octave.org>
date Thu, 18 Feb 2016 13:34:50 -0800
parents fcac5dbbf9ed
children 3d60ed163b70
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1 /*
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2
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3 Copyright (C) 2007-2015 Alexander Barth
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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 #ifdef 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 "lo-ieee.h"
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28 #include "dNDArray.h"
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29 #include "oct-locbuf.h"
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30
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31 #include "defun.h"
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32 #include "error.h"
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33 #include "ovl.h"
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34
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35 // equivalent to isvector.m
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36
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37 template <typename T>
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38 bool
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39 isvector (const T& array)
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40 {
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41 const dim_vector dv = array.dims ();
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42 return dv.length () == 2 && (dv(0) == 1 || dv(1) == 1);
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43 }
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44
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45 // lookup a value in a sorted table (lookup.m)
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46 template <typename T>
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47 octave_idx_type
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48 lookup (const T *x, octave_idx_type n, T y)
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49 {
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50 octave_idx_type j;
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51
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52 if (x[0] < x[n-1])
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53 {
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54 // increasing x
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55
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56 if (y > x[n-1] || y < x[0])
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57 return -1;
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58
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59 #ifdef EXHAUSTIF
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60 for (j = 0; j < n - 1; j++)
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61 {
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62 if (x[j] <= y && y <= x[j+1])
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63 return j;
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64 }
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65 #else
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66 octave_idx_type j0 = 0;
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67 octave_idx_type j1 = n - 1;
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68
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69 while (true)
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70 {
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71 j = (j0+j1)/2;
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72
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73 if (y <= x[j+1])
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74 {
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75 if (x[j] <= y)
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76 return j;
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77
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78 j1 = j;
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79 }
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80
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81 if (x[j] <= y)
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82 j0 = j;
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83 }
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84 #endif
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85 }
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86 else
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87 {
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88 // decreasing x
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89 // previous code with x -> -x and y -> -y
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90
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91 if (y > x[0] || y < x[n-1])
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92 return -1;
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93
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94 #ifdef EXHAUSTIF
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95 for (j = 0; j < n - 1; j++)
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96 {
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97 if (x[j+1] <= y && y <= x[j])
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98 return j;
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99 }
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100 #else
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101 octave_idx_type j0 = 0;
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102 octave_idx_type j1 = n - 1;
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103
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104 while (true)
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105 {
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106 j = (j0+j1)/2;
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107
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108 if (y >= x[j+1])
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109 {
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110 if (x[j] >= y)
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111 return j;
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112
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113 j1 = j;
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114 }
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115
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116 if (x[j] >= y)
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117 j0 = j;
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118 }
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119 #endif
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120 }
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121 }
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122
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123 // n-dimensional linear interpolation
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124
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125 template <typename T>
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126 void
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127 lin_interpn (int n, const octave_idx_type *size, const octave_idx_type *scale,
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128 octave_idx_type Ni, T extrapval, const T **x,
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129 const T *v, const T **y, T *vi)
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130 {
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131 bool out = false;
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132 int bit;
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133
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134 OCTAVE_LOCAL_BUFFER (T, coef, 2*n);
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135 OCTAVE_LOCAL_BUFFER (octave_idx_type, index, n);
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136
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137 // loop over all points
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138 for (octave_idx_type m = 0; m < Ni; m++)
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139 {
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140 // loop over all dimensions
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141 for (int i = 0; i < n; i++)
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142 {
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143 index[i] = lookup (x[i], size[i], y[i][m]);
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144 out = index[i] == -1;
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145
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146 if (out)
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147 break;
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148 else
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149 {
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150 octave_idx_type j = index[i];
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151 coef[2*i+1] = (y[i][m] - x[i][j])/(x[i][j+1] - x[i][j]);
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152 coef[2*i] = 1 - coef[2*i+1];
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153 }
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154 }
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155
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156
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157 if (out)
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158 vi[m] = extrapval;
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159 else
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160 {
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161 vi[m] = 0;
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162
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163 // loop over all corners of hypercube (1<<n = 2^n)
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164 for (int i = 0; i < (1 << n); i++)
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165 {
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166 T c = 1;
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167 octave_idx_type l = 0;
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168
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169 // loop over all dimensions
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170 for (int j = 0; j < n; j++)
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171 {
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172 // test if the jth bit in i is set
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173 bit = i >> j & 1;
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174 l += scale[j] * (index[j] + bit);
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175 c *= coef[2*j+bit];
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176 }
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177
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178 vi[m] += c * v[l];
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179 }
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180 }
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181 }
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182 }
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183
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184 template <typename T, typename M>
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185 octave_value
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186 lin_interpn (int n, M *X, const M V, M *Y)
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187 {
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188 octave_value retval;
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189
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190 M Vi = M (Y[0].dims ());
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191
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192 OCTAVE_LOCAL_BUFFER (const T *, y, n);
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193 OCTAVE_LOCAL_BUFFER (octave_idx_type, size, n);
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194
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195 for (int i = 0; i < n; i++)
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196 {
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197 y[i] = Y[i].data ();
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198 size[i] = V.dims ()(i);
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199 }
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200
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201 OCTAVE_LOCAL_BUFFER (const T *, x, n);
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202 OCTAVE_LOCAL_BUFFER (octave_idx_type, scale, n);
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203
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204 const T *v = V.data ();
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205 T *vi = Vi.fortran_vec ();
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206 octave_idx_type Ni = Vi.numel ();
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207
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208 T extrapval = octave_NA;
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209
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210 // offset in memory of each dimension
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211
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212 scale[0] = 1;
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213
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214 for (int i = 1; i < n; i++)
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215 scale[i] = scale[i-1] * size[i-1];
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216
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217 // tests if X[0] is a vector, if yes, assume that all elements of X are
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218 // in the ndgrid format.
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219
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220 if (! isvector (X[0]))
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221 {
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222 for (int i = 0; i < n; i++)
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223 {
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224 if (X[i].dims () != V.dims ())
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diff changeset
225 error ("interpn: incompatible size of argument number %d", i+1);
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226
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227 M tmp = M (dim_vector (size[i], 1));
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228
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229 for (octave_idx_type j = 0; j < size[i]; j++)
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230 tmp(j) = X[i](scale[i]*j);
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231
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232 X[i] = tmp;
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233 }
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234 }
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235
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236 for (int i = 0; i < n; i++)
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237 {
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238 if (! isvector (X[i]) && X[i].numel () != size[i])
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239 error ("interpn: incompatible size of argument number %d", i+1);
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240
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241 x[i] = X[i].data ();
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242 }
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243
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244 lin_interpn (n, size, scale, Ni, extrapval, x, v, y, vi);
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245
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246 retval = Vi;
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247
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248 return retval;
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249 }
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250
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251 // Perform @var{n}-dimensional interpolation. Each element of then
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252 // @var{n}-dimensional array @var{v} represents a value at a location
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253 // given by the parameters @var{x1}, @var{x2},...,@var{xn}. The parameters
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254 // @var{x1}, @var{x2}, @dots{}, @var{xn} are either @var{n}-dimensional
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255 // arrays of the same size as the array @var{v} in the \"ndgrid\" format
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256 // or vectors. The parameters @var{y1}, @var{y2}, @dots{}, @var{yn} are
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257 // all @var{n}-dimensional arrays of the same size and represent the
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258 // points at which the array @var{vi} is interpolated.
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259 //
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260 //This function only performs linear interpolation.
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261
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262 DEFUN (__lin_interpn__, args, ,
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263 "-*- texinfo -*-\n\
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264 @deftypefn {} {@var{vi} =} __lin_interpn__ (@var{x1}, @var{x2}, @dots{}, @var{xn}, @var{v}, @var{y1}, @var{y2}, @dots{}, @var{yn})\n\
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265 Undocumented internal function.\n\
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266 @end deftypefn")
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267 {
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268 int nargin = args.length ();
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269
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270 if (nargin < 2 || nargin % 2 == 0)
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271 print_usage ();
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272
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273 octave_value retval;
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274
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275 // dimension of the problem
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276 int n = (nargin-1)/2;
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277
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278 if (args(n).is_single_type ())
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279 {
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280 OCTAVE_LOCAL_BUFFER (FloatNDArray, X, n);
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281 OCTAVE_LOCAL_BUFFER (FloatNDArray, Y, n);
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282
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283 const FloatNDArray V = args(n).float_array_value ();
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284
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285 for (int i = 0; i < n; i++)
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286 {
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287 X[i] = args(i).float_array_value ();
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288 Y[i] = args(n+i+1).float_array_value ();
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289
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290 if (Y[0].dims () != Y[i].dims ())
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291 error ("interpn: incompatible size of argument number %d", n+i+2);
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292 }
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293
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294 retval = lin_interpn<float, FloatNDArray> (n, X, V, Y);
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295 }
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296 else
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297 {
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298 OCTAVE_LOCAL_BUFFER (NDArray, X, n);
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299 OCTAVE_LOCAL_BUFFER (NDArray, Y, n);
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300
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301 const NDArray V = args(n).array_value ();
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302
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303 for (int i = 0; i < n; i++)
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304 {
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305 X[i] = args(i).array_value ();
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306 Y[i] = args(n+i+1).array_value ();
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307
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308 if (Y[0].dims () != Y[i].dims ())
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309 error ("interpn: incompatible size of argument number %d", n+i+2);
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310 }
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311
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312 retval = lin_interpn<double, NDArray> (n, X, V, Y);
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313 }
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314
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315 return retval;
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316 }
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317
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318 /*
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319 ## No test needed for internal helper function.
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320 %!assert (1)
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321 */