annotate libinterp/corefcn/__lin_interpn__.cc @ 23803:90689bdbe048

Use C++11 raw string literals to avoid escaping double quotes. * parser.cc, workspace-view.cc, __lin_interpn__.cc, cellfun.cc, colloc.cc, data.cc, dirfns.cc, eig.cc, file-io.cc, find.cc, gammainc.cc, gl2ps-print.cc, graphics.cc, graphics.in.h, help.cc, input.cc, load-path.cc, load-save.cc, oct-hist.cc, oct-stream.cc, pager.cc, pr-output.cc, spparms.cc, symtab.cc, toplev.cc, tril.cc, urlwrite.cc, utils.cc, variables.cc, chol.cc, qr.cc, symbfact.cc, ov-struct.cc, octave.cc, pt-id.h, version.cc, mkoctfile.in.cc: Replace regular strings containing "\"" patterns with R"(..."...)".
author Rik <rik@octave.org>
date Fri, 28 Jul 2017 10:34:33 -0700
parents 092078913d54
children 194eb4bd202b
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rev   line source
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1 /*
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2
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3 Copyright (C) 2007-2017 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
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9 the Free Software Foundation; either version 3 of the License, or
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10 (at your 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
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13 WITHOUT ANY WARRANTY; without even the implied warranty of
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14 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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15 GNU General Public License 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 #if defined (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.ndims () == 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 #if defined (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 #if defined (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 if (out)
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157 vi[m] = extrapval;
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158 else
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159 {
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160 vi[m] = 0;
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161
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162 // loop over all corners of hypercube (1<<n = 2^n)
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163 for (int i = 0; i < (1 << n); i++)
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164 {
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165 T c = 1;
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166 octave_idx_type l = 0;
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167
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168 // loop over all dimensions
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169 for (int j = 0; j < n; j++)
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170 {
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171 // test if the jth bit in i is set
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172 bit = i >> j & 1;
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173 l += scale[j] * (index[j] + bit);
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174 c *= coef[2*j+bit];
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175 }
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176
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177 vi[m] += c * v[l];
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178 }
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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 template <typename T, typename M>
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184 octave_value
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185 lin_interpn (int n, M *X, const M V, M *Y)
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186 {
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187 octave_value retval;
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188
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189 M Vi = M (Y[0].dims ());
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190
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191 OCTAVE_LOCAL_BUFFER (const T *, y, n);
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192 OCTAVE_LOCAL_BUFFER (octave_idx_type, size, n);
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193
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194 for (int i = 0; i < n; i++)
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195 {
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196 y[i] = Y[i].data ();
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197 size[i] = V.dims ()(i);
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198 }
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199
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200 OCTAVE_LOCAL_BUFFER (const T *, x, n);
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201 OCTAVE_LOCAL_BUFFER (octave_idx_type, scale, n);
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202
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203 const T *v = V.data ();
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204 T *vi = Vi.fortran_vec ();
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205 octave_idx_type Ni = Vi.numel ();
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206
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207 T extrapval = octave_NA;
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208
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209 // offset in memory of each dimension
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210
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211 scale[0] = 1;
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212
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213 for (int i = 1; i < n; i++)
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214 scale[i] = scale[i-1] * size[i-1];
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215
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216 // tests if X[0] is a vector, if yes, assume that all elements of X are
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217 // in the ndgrid format.
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218
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219 if (! isvector (X[0]))
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220 {
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221 for (int i = 0; i < n; i++)
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222 {
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223 if (X[i].dims () != V.dims ())
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224 error ("interpn: incompatible size of argument number %d", i+1);
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225
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226 M tmp = M (dim_vector (size[i], 1));
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227
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228 for (octave_idx_type j = 0; j < size[i]; j++)
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229 tmp(j) = X[i](scale[i]*j);
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230
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231 X[i] = tmp;
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232 }
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233 }
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234
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235 for (int i = 0; i < n; i++)
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236 {
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237 if (! isvector (X[i]) && X[i].numel () != size[i])
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238 error ("interpn: incompatible size of argument number %d", i+1);
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239
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240 x[i] = X[i].data ();
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241 }
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242
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243 lin_interpn (n, size, scale, Ni, extrapval, x, v, y, vi);
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244
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245 retval = Vi;
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246
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247 return retval;
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248 }
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249
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250 // Perform @var{n}-dimensional interpolation. Each element of then
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251 // @var{n}-dimensional array @var{v} represents a value at a location
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252 // given by the parameters @var{x1}, @var{x2},...,@var{xn}. The parameters
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253 // @var{x1}, @var{x2}, @dots{}, @var{xn} are either @var{n}-dimensional
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254 // arrays of the same size as the array @var{v} in the "ndgrid" format
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255 // or vectors. The parameters @var{y1}, @var{y2}, @dots{}, @var{yn} are
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256 // all @var{n}-dimensional arrays of the same size and represent the
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257 // points at which the array @var{vi} is interpolated.
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258 //
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259 //This function only performs linear interpolation.
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260
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261 DEFUN (__lin_interpn__, args, ,
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262 doc: /* -*- texinfo -*-
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diff changeset
263 @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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diff changeset
264 Undocumented internal function.
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diff changeset
265 @end deftypefn */)
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266 {
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267 int nargin = args.length ();
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268
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269 if (nargin < 2 || nargin % 2 == 0)
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270 print_usage ();
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271
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272 octave_value retval;
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273
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274 // dimension of the problem
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275 int n = (nargin-1)/2;
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276
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277 if (args(n).is_single_type ())
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278 {
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279 OCTAVE_LOCAL_BUFFER (FloatNDArray, X, n);
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280 OCTAVE_LOCAL_BUFFER (FloatNDArray, Y, n);
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281
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282 const FloatNDArray V = args(n).float_array_value ();
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283
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284 for (int i = 0; i < n; i++)
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285 {
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286 X[i] = args(i).float_array_value ();
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287 Y[i] = args(n+i+1).float_array_value ();
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288
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289 if (Y[0].dims () != Y[i].dims ())
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290 error ("interpn: incompatible size of argument number %d", n+i+2);
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291 }
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292
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293 retval = lin_interpn<float, FloatNDArray> (n, X, V, Y);
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294 }
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295 else
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296 {
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297 OCTAVE_LOCAL_BUFFER (NDArray, X, n);
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298 OCTAVE_LOCAL_BUFFER (NDArray, Y, n);
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299
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300 const NDArray V = args(n).array_value ();
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301
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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).array_value ();
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305 Y[i] = args(n+i+1).array_value ();
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306
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307 if (Y[0].dims () != Y[i].dims ())
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308 error ("interpn: incompatible size of argument number %d", n+i+2);
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309 }
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310
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311 retval = lin_interpn<double, NDArray> (n, X, V, Y);
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312 }
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313
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314 return retval;
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315 }
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316
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317 /*
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318 ## No test needed for internal helper function.
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319 %!assert (1)
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320 */