Mercurial > hg > octave-lyh
annotate libinterp/corefcn/__lin_interpn__.cc @ 17289:bc924baa2c4e
doc: Add new @qcode macro for code samples which are quoted.
Macro handles options ("on") or properties ("position") more elegantly
than @code{"text"}.
* doc/interpreter/macros.texi: Add new @qcode macro.
* doc/interpreter/tips.txi: Add documentation about @qcode macro.
* doc/interpreter/basics.txi, doc/interpreter/container.txi,
doc/interpreter/emacs.txi, doc/interpreter/errors.txi,
doc/interpreter/eval.txi, doc/interpreter/expr.txi,
doc/interpreter/external.txi, doc/interpreter/func.txi,
doc/interpreter/grammar.txi, doc/interpreter/image.txi,
doc/interpreter/install.txi, doc/interpreter/interp.txi,
doc/interpreter/io.txi, doc/interpreter/matrix.txi,
doc/interpreter/numbers.txi, doc/interpreter/oop.txi,
doc/interpreter/package.txi, doc/interpreter/plot.txi,
doc/interpreter/quad.txi, doc/interpreter/sparse.txi,
doc/interpreter/strings.txi, doc/interpreter/system.txi,
doc/interpreter/vectorize.txi, libinterp/corefcn/balance.cc,
libinterp/corefcn/bitfcns.cc, libinterp/corefcn/cellfun.cc,
libinterp/corefcn/conv2.cc, libinterp/corefcn/data.cc,
libinterp/corefcn/debug.cc, libinterp/corefcn/defaults.cc,
libinterp/corefcn/dirfns.cc, libinterp/corefcn/dlmread.cc,
libinterp/corefcn/error.cc, libinterp/corefcn/file-io.cc,
libinterp/corefcn/find.cc, libinterp/corefcn/gammainc.cc,
libinterp/corefcn/graphics.cc, libinterp/corefcn/help.cc,
libinterp/corefcn/hex2num.cc, libinterp/corefcn/input.cc,
libinterp/corefcn/load-path.cc, libinterp/corefcn/load-save.cc,
libinterp/corefcn/ls-oct-ascii.cc, libinterp/corefcn/lu.cc,
libinterp/corefcn/luinc.cc, libinterp/corefcn/matrix_type.cc,
libinterp/corefcn/oct-hist.cc, libinterp/corefcn/pager.cc,
libinterp/corefcn/pr-output.cc, libinterp/corefcn/pt-jit.cc,
libinterp/corefcn/qz.cc, libinterp/corefcn/rand.cc,
libinterp/corefcn/regexp.cc, libinterp/corefcn/schur.cc,
libinterp/corefcn/sighandlers.cc, libinterp/corefcn/sparse.cc,
libinterp/corefcn/spparms.cc, libinterp/corefcn/str2double.cc,
libinterp/corefcn/svd.cc, libinterp/corefcn/symtab.cc,
libinterp/corefcn/syscalls.cc, libinterp/corefcn/toplev.cc,
libinterp/corefcn/tril.cc, libinterp/corefcn/typecast.cc,
libinterp/corefcn/utils.cc, libinterp/corefcn/variables.cc,
libinterp/dldfcn/__init_fltk__.cc, libinterp/dldfcn/chol.cc,
libinterp/dldfcn/colamd.cc, libinterp/dldfcn/fftw.cc, libinterp/dldfcn/qr.cc,
libinterp/dldfcn/symbfact.cc, libinterp/octave-value/ov-base.cc,
libinterp/octave-value/ov-fcn-handle.cc,
libinterp/octave-value/ov-fcn-inline.cc, libinterp/octave-value/ov-java.cc,
libinterp/octave-value/ov-range.cc, libinterp/octave-value/ov-struct.cc,
libinterp/octave-value/ov-usr-fcn.cc, libinterp/parse-tree/oct-parse.in.yy,
libinterp/parse-tree/pt-binop.cc, libinterp/parse-tree/pt-eval.cc,
libinterp/parse-tree/pt-mat.cc, scripts/@ftp/ftp.m,
scripts/deprecated/java_convert_matrix.m, scripts/deprecated/java_debug.m,
scripts/deprecated/java_unsigned_conversion.m, scripts/deprecated/shell_cmd.m,
scripts/general/dblquad.m, scripts/general/display.m,
scripts/general/genvarname.m, scripts/general/idivide.m,
scripts/general/interp1.m, scripts/general/interp2.m,
scripts/general/interp3.m, scripts/general/interpn.m, scripts/general/isa.m,
scripts/general/profexplore.m, scripts/general/profile.m,
scripts/general/quadgk.m, scripts/general/randi.m, scripts/general/structfun.m,
scripts/general/subsindex.m, scripts/general/triplequad.m,
scripts/geometry/griddata.m, scripts/geometry/griddata3.m,
scripts/geometry/griddatan.m, scripts/geometry/voronoi.m, scripts/help/help.m,
scripts/help/lookfor.m, scripts/image/cmpermute.m, scripts/image/colormap.m,
scripts/image/image.m, scripts/image/imagesc.m, scripts/image/imfinfo.m,
scripts/image/imformats.m, scripts/image/imread.m, scripts/image/imshow.m,
scripts/image/imwrite.m, scripts/image/ind2gray.m, scripts/image/lines.m,
scripts/image/rgb2ind.m, scripts/image/spinmap.m, scripts/io/dlmwrite.m,
scripts/io/strread.m, scripts/io/textread.m, scripts/io/textscan.m,
scripts/java/javaclasspath.m, scripts/java/usejava.m,
scripts/miscellaneous/bzip2.m, scripts/miscellaneous/computer.m,
scripts/miscellaneous/copyfile.m, scripts/miscellaneous/debug.m,
scripts/miscellaneous/dos.m, scripts/miscellaneous/edit.m,
scripts/miscellaneous/gzip.m, scripts/miscellaneous/license.m,
scripts/miscellaneous/mkoctfile.m, scripts/miscellaneous/movefile.m,
scripts/miscellaneous/parseparams.m, scripts/miscellaneous/unix.m,
scripts/optimization/fminbnd.m, scripts/optimization/fminsearch.m,
scripts/optimization/fminunc.m, scripts/optimization/fsolve.m,
scripts/optimization/fzero.m, scripts/optimization/glpk.m,
scripts/optimization/lsqnonneg.m, scripts/optimization/optimset.m,
scripts/optimization/pqpnonneg.m, scripts/pkg/pkg.m, scripts/plot/allchild.m,
scripts/plot/ancestor.m, scripts/plot/area.m, scripts/plot/axis.m,
scripts/plot/bar.m, scripts/plot/barh.m, scripts/plot/box.m,
scripts/plot/caxis.m, scripts/plot/cla.m, scripts/plot/clabel.m,
scripts/plot/clf.m, scripts/plot/close.m, scripts/plot/colorbar.m,
scripts/plot/daspect.m, scripts/plot/ezmesh.m, scripts/plot/ezmeshc.m,
scripts/plot/ezsurf.m, scripts/plot/ezsurfc.m, scripts/plot/findall.m,
scripts/plot/findobj.m, scripts/plot/gcbo.m, scripts/plot/gcf.m,
scripts/plot/gco.m, scripts/plot/grid.m, scripts/plot/guihandles.m,
scripts/plot/hdl2struct.m, scripts/plot/hidden.m, scripts/plot/hold.m,
scripts/plot/isonormals.m, scripts/plot/isosurface.m, scripts/plot/legend.m,
scripts/plot/mesh.m, scripts/plot/meshc.m, scripts/plot/meshz.m,
scripts/plot/newplot.m, scripts/plot/orient.m, scripts/plot/pareto.m,
scripts/plot/patch.m, scripts/plot/pbaspect.m, scripts/plot/pcolor.m,
scripts/plot/plot.m, scripts/plot/print.m,
scripts/plot/private/__add_default_menu__.m, scripts/plot/quiver.m,
scripts/plot/quiver3.m, scripts/plot/refreshdata.m, scripts/plot/saveas.m,
scripts/plot/scatter.m, scripts/plot/scatter3.m, scripts/plot/shading.m,
scripts/plot/shrinkfaces.m, scripts/plot/slice.m, scripts/plot/stem.m,
scripts/plot/stem3.m, scripts/plot/struct2hdl.m, scripts/plot/subplot.m,
scripts/plot/surf.m, scripts/plot/surfc.m, scripts/plot/surfl.m,
scripts/plot/tetramesh.m, scripts/plot/uigetfile.m, scripts/plot/uimenu.m,
scripts/plot/uiputfile.m, scripts/plot/waterfall.m, scripts/plot/whitebg.m,
scripts/plot/xlim.m, scripts/plot/ylim.m, scripts/plot/zlim.m,
scripts/polynomial/conv.m, scripts/polynomial/polyout.m,
scripts/polynomial/splinefit.m, scripts/set/ismember.m, scripts/set/powerset.m,
scripts/set/setdiff.m, scripts/set/union.m, scripts/set/unique.m,
scripts/signal/detrend.m, scripts/signal/filter2.m, scripts/signal/freqz.m,
scripts/signal/periodogram.m, scripts/signal/spectral_adf.m,
scripts/signal/spectral_xdf.m, scripts/sparse/eigs.m, scripts/sparse/svds.m,
scripts/specfun/legendre.m, scripts/special-matrix/gallery.m,
scripts/statistics/base/mean.m, scripts/statistics/base/moment.m,
scripts/statistics/tests/cor_test.m,
scripts/statistics/tests/kolmogorov_smirnov_test.m,
scripts/statistics/tests/kolmogorov_smirnov_test_2.m,
scripts/statistics/tests/kruskal_wallis_test.m,
scripts/statistics/tests/prop_test_2.m, scripts/statistics/tests/sign_test.m,
scripts/statistics/tests/t_test.m, scripts/statistics/tests/t_test_2.m,
scripts/statistics/tests/t_test_regression.m,
scripts/statistics/tests/u_test.m, scripts/statistics/tests/var_test.m,
scripts/statistics/tests/welch_test.m,
scripts/statistics/tests/wilcoxon_test.m, scripts/statistics/tests/z_test.m,
scripts/statistics/tests/z_test_2.m, scripts/strings/base2dec.m,
scripts/strings/index.m, scripts/strings/isstrprop.m,
scripts/strings/mat2str.m, scripts/strings/regexptranslate.m,
scripts/strings/rindex.m, scripts/strings/str2num.m, scripts/strings/strcat.m,
scripts/strings/strjust.m, scripts/strings/strmatch.m,
scripts/strings/validatestring.m, scripts/testfun/demo.m,
scripts/testfun/example.m, scripts/testfun/test.m, scripts/time/addtodate.m,
scripts/time/asctime.m, scripts/time/datestr.m, scripts/time/datetick.m,
scripts/time/weekday.m, scripts/ui/errordlg.m, scripts/ui/helpdlg.m,
scripts/ui/inputdlg.m, scripts/ui/listdlg.m, scripts/ui/msgbox.m,
scripts/ui/questdlg.m, scripts/ui/warndlg.m: Use new @qcode macro.
author | Rik <rik@octave.org> |
---|---|
date | Mon, 19 Aug 2013 20:46:38 -0700 |
parents | 2fc554ffbc28 |
children |
rev | line source |
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6702 | 1 /* |
2 | |
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3 Copyright (C) 2007-2012 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 | |
24 #include <config.h> | |
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" |
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31 #include "defun.h" |
6702 | 32 #include "error.h" |
33 #include "oct-obj.h" | |
34 | |
35 // equivalent to isvector.m | |
36 | |
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37 template <class 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 <class 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 <class 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; |
6702 | 145 |
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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 <class T, class 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 { |
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226 error ("interpn: incompatible size of argument number %d", i+1); |
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227 return retval; |
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228 } |
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229 else |
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230 { |
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231 M tmp = M (dim_vector (size[i], 1)); |
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232 |
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233 for (octave_idx_type j = 0; j < size[i]; j++) |
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234 tmp(j) = X[i](scale[i]*j); |
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235 |
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236 X[i] = tmp; |
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237 } |
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238 } |
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239 } |
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240 |
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241 for (int i = 0; i < n; i++) |
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242 { |
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243 if (! isvector (X[i]) && X[i].numel () != size[i]) |
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244 { |
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245 error ("interpn: incompatible size of argument number %d", i+1); |
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246 return retval; |
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247 } |
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248 else |
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249 x[i] = X[i].data (); |
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250 } |
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251 |
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252 lin_interpn (n, size, scale, Ni, extrapval, x, v, y, vi); |
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253 |
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254 retval = Vi; |
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255 |
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256 return retval; |
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257 } |
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258 |
6945 | 259 // Perform @var{n}-dimensional interpolation. Each element of then |
260 // @var{n}-dimensional array @var{v} represents a value at a location | |
261 // given by the parameters @var{x1}, @var{x2},...,@var{xn}. The parameters | |
262 // @var{x1}, @var{x2}, @dots{}, @var{xn} are either @var{n}-dimensional | |
263 // arrays of the same size as the array @var{v} in the \"ndgrid\" format | |
264 // or vectors. The parameters @var{y1}, @var{y2}, @dots{}, @var{yn} are | |
265 // all @var{n}-dimensional arrays of the same size and represent the | |
266 // points at which the array @var{vi} is interpolated. | |
267 // | |
268 //This function only performs linear interpolation. | |
269 | |
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270 DEFUN (__lin_interpn__, args, , |
6702 | 271 "-*- texinfo -*-\n\ |
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272 @deftypefn {Built-in Function} {@var{vi} =} __lin_interpn__ (@var{x1}, @var{x2}, @dots{}, @var{xn}, @var{v}, @var{y1}, @var{y2}, @dots{}, @var{yn})\n\ |
6945 | 273 Undocumented internal function.\n\ |
6702 | 274 @end deftypefn") |
275 { | |
276 octave_value retval; | |
277 | |
278 int nargin = args.length (); | |
279 | |
280 if (nargin < 2 || nargin % 2 == 0) | |
281 { | |
282 print_usage (); | |
283 return retval; | |
284 } | |
285 | |
286 // dimension of the problem | |
287 int n = (nargin-1)/2; | |
288 | |
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289 if (args(n).is_single_type ()) |
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291 OCTAVE_LOCAL_BUFFER (FloatNDArray, X, n); |
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292 OCTAVE_LOCAL_BUFFER (FloatNDArray, Y, n); |
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294 const FloatNDArray V = args(n).float_array_value (); |
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296 if (error_state) | |
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297 { |
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298 print_usage (); |
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299 return retval; |
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300 } |
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302 for (int i = 0; i < n; i++) | |
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303 { |
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304 X[i] = args(i).float_array_value (); |
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305 Y[i] = args(n+i+1).float_array_value (); |
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306 |
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307 if (error_state) |
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308 { |
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309 print_usage (); |
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310 return retval; |
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311 } |
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312 |
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313 if (Y[0].dims () != Y[i].dims ()) |
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314 { |
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315 error ("interpn: incompatible size of argument number %d", n+i+2); |
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316 return retval; |
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317 } |
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318 } |
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319 |
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320 retval = lin_interpn<float, FloatNDArray> (n, X, V, Y); |
6702 | 321 } |
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322 else |
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324 OCTAVE_LOCAL_BUFFER (NDArray, X, n); |
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325 OCTAVE_LOCAL_BUFFER (NDArray, Y, n); |
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326 |
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327 const NDArray V = args(n).array_value (); |
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328 |
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329 if (error_state) |
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330 { |
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331 print_usage (); |
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332 return retval; |
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333 } |
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334 |
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335 for (int i = 0; i < n; i++) |
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336 { |
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337 X[i] = args(i).array_value (); |
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338 Y[i] = args(n+i+1).array_value (); |
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340 if (error_state) |
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341 { |
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342 print_usage (); |
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343 return retval; |
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344 } |
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346 if (Y[0].dims () != Y[i].dims ()) |
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347 { |
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348 error ("interpn: incompatible size of argument number %d", n+i+2); |
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349 return retval; |
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350 } |
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351 } |
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352 |
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353 retval = lin_interpn<double, NDArray> (n, X, V, Y); |
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354 } |
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356 return retval; | |
357 } | |
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358 |
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359 /* |
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360 ## No test needed for internal helper function. |
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361 %!assert (1) |
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362 */ |