Mercurial > octave
annotate libinterp/corefcn/__lin_interpn__.cc @ 29958:32c3a5805893
move DEFUN and DEFMETHOD functions inside octave namespace
* mk-opts.pl: Surround emitted function definitions with
OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags.
* mk-builtins.pl: Surround emitted function declarations with
OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags. Emit deprecated
global inline functions.
* __betainc__.cc, __contourc__.cc, __dsearchn__.cc, __eigs__.cc,
__expint__.cc, __ftp__.cc, __gammainc__.cc, __ichol__.cc, __ilu__.cc,
__lin_interpn__.cc, __magick_read__.cc, __pchip_deriv__.cc, __qp__.cc,
amd.cc, balance.cc, besselj.cc, bitfcns.cc, bsxfun.cc, call-stack.cc,
ccolamd.cc, cellfun.cc, chol.cc, colamd.cc, colloc.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, dmperm.cc,
dot.cc, eig.cc, ellipj.cc, environment.cc, error.cc, event-manager.cc,
fcn-info.cc, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc,
gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc,
graphics.cc, gsvd.cc, hash.cc, help.cc, hess.cc, hex2num.cc, input.cc,
interpreter.cc, inv.cc, jsondecode.cc, jsonencode.cc, kron.cc,
load-path.cc, load-save.cc, lookup.cc, ls-oct-text.cc, lsode.cc,
lu.cc, mappers.cc, matrix_type.cc, max.cc, mgorth.cc, nproc.cc,
oct-hist.cc, ordqz.cc, ordschur.cc, pager.cc, pinv.cc, pr-flt-fmt.cc,
pr-output.cc, psi.cc, qr.cc, quad.cc, quadcc.cc, qz.cc, rand.cc,
rcond.cc, regexp.cc, schur.cc, settings.cc, sighandlers.cc, sparse.cc,
spparms.cc, sqrtm.cc, stream-euler.cc, strfind.cc, strfns.cc,
sub2ind.cc, svd.cc, sylvester.cc, symbfact.cc, symrcm.cc, symtab.cc,
syscalls.cc, sysdep.cc, time.cc, toplev.cc, tril.cc, tsearch.cc,
typecast.cc, urlwrite.cc, utils.cc, variables.cc, __delaunayn__.cc,
__fltk_uigetfile__.cc, __glpk__.cc, __init_gnuplot__.cc, __ode15__.cc,
__voronoi__.cc, audiodevinfo.cc, audioread.cc, convhulln.cc, fftw.cc,
gzip.cc, ov-base.cc, ov-bool-mat.cc, ov-cell.cc, ov-class.cc,
ov-classdef.cc, ov-fcn-handle.cc, ov-java.cc, ov-null-mat.cc,
ov-oncleanup.cc, ov-struct.cc, ov-typeinfo.cc, ov-usr-fcn.cc, ov.cc,
octave.cc, lex.ll, oct-parse.yy, profiler.cc, pt-eval.cc: Surround
DEFUN and DEFMETHOD function defnitions with OCTAVE_NAMESPACE_BEGIN
and OCTAVE_NAMESPACE_END tags.
author | John W. Eaton <jwe@octave.org> |
---|---|
date | Fri, 13 Aug 2021 21:53:51 -0400 |
parents | 0a5b15007766 |
children | 796f54d4ddbf |
rev | line source |
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1 //////////////////////////////////////////////////////////////////////// |
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2 // |
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3 // Copyright (C) 2007-2021 The Octave Project Developers |
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4 // |
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5 // See the file COPYRIGHT.md in the top-level directory of this |
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6 // distribution or <https://octave.org/copyright/>. |
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7 // |
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8 // This file is part of Octave. |
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9 // |
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10 // Octave is free software: you can redistribute it and/or modify it |
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11 // under the terms of the GNU General Public License as published by |
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12 // the Free Software Foundation, either version 3 of the License, or |
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13 // (at your option) any later version. |
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14 // |
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15 // Octave is distributed in the hope that it will be useful, but |
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of |
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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18 // GNU General Public License for more details. |
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19 // |
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20 // You should have received a copy of the GNU General Public License |
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21 // along with Octave; see the file COPYING. If not, see |
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22 // <https://www.gnu.org/licenses/>. |
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23 // |
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24 //////////////////////////////////////////////////////////////////////// |
6702 | 25 |
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26 #if defined (HAVE_CONFIG_H) |
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27 # include "config.h" |
6702 | 28 #endif |
29 | |
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30 #include "lo-ieee.h" |
6702 | 31 #include "dNDArray.h" |
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32 #include "oct-locbuf.h" |
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34 #include "defun.h" |
6702 | 35 #include "error.h" |
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36 #include "ovl.h" |
6702 | 37 |
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38 OCTAVE_NAMESPACE_BEGIN |
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39 |
6702 | 40 // equivalent to isvector.m |
41 | |
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42 template <typename T> |
6702 | 43 bool |
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44 isvector (const T& array) |
6702 | 45 { |
46 const dim_vector dv = array.dims (); | |
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47 return dv.ndims () == 2 && (dv(0) == 1 || dv(1) == 1); |
6702 | 48 } |
49 | |
50 // lookup a value in a sorted table (lookup.m) | |
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51 template <typename T> |
6702 | 52 octave_idx_type |
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53 lookup (const T *x, octave_idx_type n, T y) |
6702 | 54 { |
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55 octave_idx_type j; |
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57 if (x[0] < x[n-1]) |
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58 { |
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59 // increasing x |
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60 |
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61 if (y > x[n-1] || y < x[0]) |
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62 return -1; |
6702 | 63 |
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64 #if defined (EXHAUSTIF) |
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65 for (j = 0; j < n - 1; j++) |
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66 { |
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67 if (x[j] <= y && y <= x[j+1]) |
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68 return j; |
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69 } |
6702 | 70 #else |
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71 octave_idx_type j0 = 0; |
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72 octave_idx_type j1 = n - 1; |
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73 |
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74 while (true) |
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75 { |
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76 j = (j0+j1)/2; |
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77 |
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78 if (y <= x[j+1]) |
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79 { |
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80 if (x[j] <= y) |
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81 return j; |
6702 | 82 |
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83 j1 = j; |
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84 } |
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85 |
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86 if (x[j] <= y) |
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87 j0 = j; |
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88 } |
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89 #endif |
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90 } |
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91 else |
6702 | 92 { |
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93 // decreasing x |
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94 // previous code with x -> -x and y -> -y |
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96 if (y > x[0] || y < x[n-1]) |
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97 return -1; |
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98 |
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99 #if defined (EXHAUSTIF) |
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100 for (j = 0; j < n - 1; j++) |
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101 { |
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102 if (x[j+1] <= y && y <= x[j]) |
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103 return j; |
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104 } |
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105 #else |
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106 octave_idx_type j0 = 0; |
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107 octave_idx_type j1 = n - 1; |
6702 | 108 |
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109 while (true) |
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110 { |
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111 j = (j0+j1)/2; |
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112 |
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113 if (y >= x[j+1]) |
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114 { |
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115 if (x[j] >= y) |
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116 return j; |
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117 |
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118 j1 = j; |
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119 } |
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120 |
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121 if (x[j] >= y) |
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122 j0 = j; |
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123 } |
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124 #endif |
6702 | 125 } |
126 } | |
127 | |
128 // n-dimensional linear interpolation | |
129 | |
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130 template <typename T> |
6702 | 131 void |
132 lin_interpn (int n, const octave_idx_type *size, const octave_idx_type *scale, | |
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133 octave_idx_type Ni, T extrapval, const T **x, |
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134 const T *v, const T **y, T *vi) |
6702 | 135 { |
136 bool out = false; | |
137 int bit; | |
138 | |
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139 OCTAVE_LOCAL_BUFFER (T, coef, 2*n); |
6702 | 140 OCTAVE_LOCAL_BUFFER (octave_idx_type, index, n); |
141 | |
142 // loop over all points | |
143 for (octave_idx_type m = 0; m < Ni; m++) | |
144 { | |
145 // loop over all dimensions | |
146 for (int i = 0; i < n; i++) | |
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147 { |
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149 out = index[i] == -1; |
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151 if (out) |
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152 break; |
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153 else |
6702 | 154 { |
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155 octave_idx_type j = index[i]; |
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156 coef[2*i+1] = (y[i][m] - x[i][j])/(x[i][j+1] - x[i][j]); |
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157 coef[2*i] = 1 - coef[2*i+1]; |
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158 } |
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159 } |
6702 | 160 |
161 if (out) | |
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162 vi[m] = extrapval; |
6702 | 163 else |
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164 { |
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165 vi[m] = 0; |
6702 | 166 |
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167 // loop over all corners of hypercube (1<<n = 2^n) |
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168 for (int i = 0; i < (1 << n); i++) |
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169 { |
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170 T c = 1; |
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171 octave_idx_type l = 0; |
6702 | 172 |
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173 // loop over all dimensions |
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174 for (int j = 0; j < n; j++) |
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175 { |
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176 // test if the jth bit in i is set |
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177 bit = i >> j & 1; |
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178 l += scale[j] * (index[j] + bit); |
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179 c *= coef[2*j+bit]; |
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180 } |
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182 vi[m] += c * v[l]; |
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183 } |
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184 } |
6702 | 185 } |
186 } | |
187 | |
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188 template <typename T, typename M> |
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189 octave_value |
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190 lin_interpn (int n, M *X, const M V, M *Y) |
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191 { |
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192 octave_value retval; |
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193 |
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194 M Vi = M (Y[0].dims ()); |
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195 |
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196 OCTAVE_LOCAL_BUFFER (const T *, y, n); |
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197 OCTAVE_LOCAL_BUFFER (octave_idx_type, size, n); |
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198 |
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199 for (int i = 0; i < n; i++) |
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200 { |
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201 y[i] = Y[i].data (); |
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202 size[i] = V.dims ()(i); |
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203 } |
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204 |
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205 OCTAVE_LOCAL_BUFFER (const T *, x, n); |
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206 OCTAVE_LOCAL_BUFFER (octave_idx_type, scale, n); |
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207 |
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208 const T *v = V.data (); |
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209 T *vi = Vi.fortran_vec (); |
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210 octave_idx_type Ni = Vi.numel (); |
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211 |
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212 T extrapval = octave_NA; |
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213 |
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214 // offset in memory of each dimension |
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215 |
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216 scale[0] = 1; |
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217 |
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218 for (int i = 1; i < n; i++) |
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219 scale[i] = scale[i-1] * size[i-1]; |
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220 |
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221 // tests if X[0] is a vector, if yes, assume that all elements of X are |
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222 // in the ndgrid format. |
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223 |
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224 if (! isvector (X[0])) |
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225 { |
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226 for (int i = 0; i < n; i++) |
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227 { |
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228 if (X[i].dims () != V.dims ()) |
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229 error ("interpn: incompatible size of argument number %d", i+1); |
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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 for (int i = 0; i < n; i++) |
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241 { |
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242 if (! isvector (X[i]) && X[i].numel () != size[i]) |
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243 error ("interpn: incompatible size of argument number %d", i+1); |
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244 |
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245 x[i] = X[i].data (); |
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246 } |
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247 |
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248 lin_interpn (n, size, scale, Ni, extrapval, x, v, y, vi); |
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249 |
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250 retval = Vi; |
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251 |
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252 return retval; |
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253 } |
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254 |
6945 | 255 // Perform @var{n}-dimensional interpolation. Each element of then |
256 // @var{n}-dimensional array @var{v} represents a value at a location | |
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257 // given by the parameters @var{x1}, @var{x2},...,@var{xn}. The parameters |
6945 | 258 // @var{x1}, @var{x2}, @dots{}, @var{xn} are either @var{n}-dimensional |
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259 // arrays of the same size as the array @var{v} in the "ndgrid" format |
6945 | 260 // or vectors. The parameters @var{y1}, @var{y2}, @dots{}, @var{yn} are |
261 // all @var{n}-dimensional arrays of the same size and represent the | |
262 // points at which the array @var{vi} is interpolated. | |
263 // | |
264 //This function only performs linear interpolation. | |
265 | |
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266 DEFUN (__lin_interpn__, args, , |
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267 doc: /* -*- texinfo -*- |
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268 @deftypefn {} {@var{vi} =} __lin_interpn__ (@var{x1}, @var{x2}, @dots{}, @var{xn}, @var{v}, @var{y1}, @var{y2}, @dots{}, @var{yn}) |
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269 Undocumented internal function. |
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270 @end deftypefn */) |
6702 | 271 { |
272 int nargin = args.length (); | |
273 | |
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274 if (nargin < 2 || nargin % 2 == 0) |
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275 print_usage (); |
6702 | 276 |
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277 octave_value retval; |
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278 |
6702 | 279 // dimension of the problem |
280 int n = (nargin-1)/2; | |
281 | |
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282 if (args(n).is_single_type ()) |
6702 | 283 { |
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284 OCTAVE_LOCAL_BUFFER (FloatNDArray, X, n); |
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285 OCTAVE_LOCAL_BUFFER (FloatNDArray, Y, n); |
6702 | 286 |
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287 const FloatNDArray V = args(n).float_array_value (); |
6702 | 288 |
289 for (int i = 0; i < n; i++) | |
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290 { |
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291 X[i] = args(i).float_array_value (); |
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292 Y[i] = args(n+i+1).float_array_value (); |
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293 |
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294 if (Y[0].dims () != Y[i].dims ()) |
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295 error ("interpn: incompatible size of argument number %d", n+i+2); |
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296 } |
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297 |
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298 retval = lin_interpn<float, FloatNDArray> (n, X, V, Y); |
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300 else |
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302 OCTAVE_LOCAL_BUFFER (NDArray, X, n); |
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303 OCTAVE_LOCAL_BUFFER (NDArray, Y, n); |
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304 |
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305 const NDArray V = args(n).array_value (); |
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306 |
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307 for (int i = 0; i < n; i++) |
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308 { |
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309 X[i] = args(i).array_value (); |
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310 Y[i] = args(n+i+1).array_value (); |
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312 if (Y[0].dims () != Y[i].dims ()) |
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313 error ("interpn: incompatible size of argument number %d", n+i+2); |
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314 } |
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315 |
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316 retval = lin_interpn<double, NDArray> (n, X, V, Y); |
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317 } |
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319 return retval; | |
320 } | |
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321 |
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322 /* |
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323 ## No test needed for internal helper function. |
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324 %!assert (1) |
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325 */ |
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326 |
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327 OCTAVE_NAMESPACE_END |