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
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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 ////////////////////////////////////////////////////////////////////////
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26 #if defined (HAVE_CONFIG_H)
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27 # include "config.h"
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28 #endif
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29
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30 #include "lo-ieee.h"
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31 #include "dNDArray.h"
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32 #include "oct-locbuf.h"
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33
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34 #include "defun.h"
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35 #include "error.h"
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36 #include "ovl.h"
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38 OCTAVE_NAMESPACE_BEGIN
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39
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40 // equivalent to isvector.m
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41
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42 template <typename T>
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43 bool
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44 isvector (const T& array)
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45 {
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46 const dim_vector dv = array.dims ();
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47 return dv.ndims () == 2 && (dv(0) == 1 || dv(1) == 1);
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48 }
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49
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50 // lookup a value in a sorted table (lookup.m)
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52 octave_idx_type
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53 lookup (const T *x, octave_idx_type n, T y)
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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;
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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 }
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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;
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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
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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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95
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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;
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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
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125 }
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126 }
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127
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128 // n-dimensional linear interpolation
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129
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130 template <typename T>
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131 void
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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)
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135 {
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136 bool out = false;
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137 int bit;
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138
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139 OCTAVE_LOCAL_BUFFER (T, coef, 2*n);
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140 OCTAVE_LOCAL_BUFFER (octave_idx_type, index, n);
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141
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142 // loop over all points
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143 for (octave_idx_type m = 0; m < Ni; m++)
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144 {
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145 // loop over all dimensions
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146 for (int i = 0; i < n; i++)
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147 {
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148 index[i] = lookup (x[i], size[i], y[i][m]);
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149 out = index[i] == -1;
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150
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151 if (out)
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152 break;
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153 else
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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 }
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160
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161 if (out)
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162 vi[m] = extrapval;
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163 else
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164 {
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165 vi[m] = 0;
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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;
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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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181
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182 vi[m] += c * v[l];
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183 }
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184 }
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185 }
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186 }
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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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diff changeset
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
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255 // Perform @var{n}-dimensional interpolation. Each element of then
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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
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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
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260 // or vectors. The parameters @var{y1}, @var{y2}, @dots{}, @var{yn} are
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261 // all @var{n}-dimensional arrays of the same size and represent the
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262 // points at which the array @var{vi} is interpolated.
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263 //
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264 //This function only performs linear interpolation.
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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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diff changeset
269 Undocumented internal function.
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270 @end deftypefn */)
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271 {
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272 int nargin = args.length ();
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273
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274 if (nargin < 2 || nargin % 2 == 0)
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275 print_usage ();
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276
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277 octave_value retval;
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278
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279 // dimension of the problem
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280 int n = (nargin-1)/2;
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281
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282 if (args(n).is_single_type ())
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283 {
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284 OCTAVE_LOCAL_BUFFER (FloatNDArray, X, n);
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285 OCTAVE_LOCAL_BUFFER (FloatNDArray, Y, n);
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286
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287 const FloatNDArray V = args(n).float_array_value ();
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288
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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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299 }
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300 else
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301 {
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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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311
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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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318
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319 return retval;
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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