Mercurial > octave
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 |
rev | line source |
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6702 | 1 /* |
2 | |
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3 Copyright (C) 2007-2015 Alexander Barth |
6702 | 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. | |
6702 | 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/>. | |
6702 | 20 |
21 */ | |
22 | |
23 #ifdef HAVE_CONFIG_H | |
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24 # include "config.h" |
6702 | 25 #endif |
26 | |
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27 #include "lo-ieee.h" |
6702 | 28 #include "dNDArray.h" |
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29 #include "oct-locbuf.h" |
6702 | 30 |
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31 #include "defun.h" |
6702 | 32 #include "error.h" |
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33 #include "ovl.h" |
6702 | 34 |
35 // equivalent to isvector.m | |
36 | |
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37 template <typename T> |
6702 | 38 bool |
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39 isvector (const T& array) |
6702 | 40 { |
41 const dim_vector dv = array.dims (); | |
42 return dv.length () == 2 && (dv(0) == 1 || dv(1) == 1); | |
43 } | |
44 | |
45 // lookup a value in a sorted table (lookup.m) | |
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46 template <typename T> |
6702 | 47 octave_idx_type |
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48 lookup (const T *x, octave_idx_type n, T y) |
6702 | 49 { |
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50 octave_idx_type j; |
6702 | 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; |
6702 | 58 |
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 } |
6702 | 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; |
6702 | 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 |
6702 | 87 { |
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88 // decreasing x |
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89 // previous code with x -> -x and y -> -y |
6702 | 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; |
6702 | 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 |
6702 | 120 } |
121 } | |
122 | |
123 // n-dimensional linear interpolation | |
124 | |
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125 template <typename T> |
6702 | 126 void |
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) |
6702 | 130 { |
131 bool out = false; | |
132 int bit; | |
133 | |
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134 OCTAVE_LOCAL_BUFFER (T, coef, 2*n); |
6702 | 135 OCTAVE_LOCAL_BUFFER (octave_idx_type, index, n); |
136 | |
137 // loop over all points | |
138 for (octave_idx_type m = 0; m < Ni; m++) | |
139 { | |
140 // loop over all dimensions | |
141 for (int i = 0; i < n; i++) | |
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142 { |
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144 out = index[i] == -1; |
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146 if (out) |
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147 break; |
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148 else |
6702 | 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 } |
6702 | 155 |
156 | |
157 if (out) | |
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158 vi[m] = extrapval; |
6702 | 159 else |
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160 { |
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161 vi[m] = 0; |
6702 | 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; |
6702 | 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 } |
6702 | 177 |
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178 vi[m] += c * v[l]; |
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179 } |
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180 } |
6702 | 181 } |
182 } | |
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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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 |
6945 | 251 // Perform @var{n}-dimensional interpolation. Each element of then |
252 // @var{n}-dimensional array @var{v} represents a value at a location | |
253 // given by the parameters @var{x1}, @var{x2},...,@var{xn}. The parameters | |
254 // @var{x1}, @var{x2}, @dots{}, @var{xn} are either @var{n}-dimensional | |
255 // arrays of the same size as the array @var{v} in the \"ndgrid\" format | |
256 // or vectors. The parameters @var{y1}, @var{y2}, @dots{}, @var{yn} are | |
257 // all @var{n}-dimensional arrays of the same size and represent the | |
258 // points at which the array @var{vi} is interpolated. | |
259 // | |
260 //This function only performs linear interpolation. | |
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\ |
6945 | 265 Undocumented internal function.\n\ |
6702 | 266 @end deftypefn") |
267 { | |
268 int nargin = args.length (); | |
269 | |
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270 if (nargin < 2 || nargin % 2 == 0) |
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271 print_usage (); |
6702 | 272 |
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273 octave_value retval; |
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274 |
6702 | 275 // dimension of the problem |
276 int n = (nargin-1)/2; | |
277 | |
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278 if (args(n).is_single_type ()) |
6702 | 279 { |
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280 OCTAVE_LOCAL_BUFFER (FloatNDArray, X, n); |
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281 OCTAVE_LOCAL_BUFFER (FloatNDArray, Y, n); |
6702 | 282 |
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283 const FloatNDArray V = args(n).float_array_value (); |
6702 | 284 |
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); |
6702 | 295 } |
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296 else |
6702 | 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 (); |
6702 | 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 } |
6702 | 314 |
315 return retval; | |
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 */ |