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annotate libinterp/corefcn/__lin_interpn__.cc @ 33617:ec2635a02328 bytecode-interpreter tip

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maint: Merge default to bytecode-interpreter.
author Markus Mützel <markus.muetzel@gmx.de>
date Tue, 21 May 2024 18:29:03 +0200
parents f53ac65ffba6
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
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1 ////////////////////////////////////////////////////////////////////////
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2 //
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3 // Copyright (C) 2007-2024 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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25
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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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37
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38 #include <type_traits>
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39
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40 OCTAVE_BEGIN_NAMESPACE(octave)
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41
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42 // equivalent to isvector.m
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43
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44 template <typename T>
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45 bool
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46 isvector (const T& array)
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47 {
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48 const dim_vector dv = array.dims ();
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49 return dv.ndims () == 2 && (dv(0) == 1 || dv(1) == 1);
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50 }
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51
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52 // lookup a value in a sorted table (lookup.m)
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53 template <typename T>
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54 octave_idx_type
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55 lookup (const T *x, octave_idx_type n, T y)
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56 {
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57 octave_idx_type j;
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58
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59 if (x[0] < x[n-1])
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60 {
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61 // increasing x
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62
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63 if (y > x[n-1] || y < x[0])
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64 return -1;
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65
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66 #if defined (EXHAUSTIF)
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67 for (j = 0; j < n - 1; j++)
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68 {
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69 if (x[j] <= y && y <= x[j+1])
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70 return j;
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71 }
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72 #else
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73 octave_idx_type j0 = 0;
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74 octave_idx_type j1 = n - 1;
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75
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76 while (true)
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77 {
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78 j = (j0+j1)/2;
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79
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80 if (y <= x[j+1])
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81 {
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82 if (x[j] <= y)
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83 return j;
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84
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85 j1 = j;
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86 }
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87
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88 if (x[j] <= y)
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89 j0 = j;
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90 }
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91 #endif
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92 }
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93 else
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94 {
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95 // decreasing x
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96 // previous code with x -> -x and y -> -y
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97
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98 if (y > x[0] || y < x[n-1])
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99 return -1;
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100
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101 #if defined (EXHAUSTIF)
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102 for (j = 0; j < n - 1; j++)
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103 {
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104 if (x[j+1] <= y && y <= x[j])
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105 return j;
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106 }
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107 #else
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108 octave_idx_type j0 = 0;
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109 octave_idx_type j1 = n - 1;
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110
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111 while (true)
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112 {
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113 j = (j0+j1)/2;
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114
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115 if (y >= x[j+1])
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116 {
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117 if (x[j] >= y)
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118 return j;
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119
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120 j1 = j;
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121 }
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122
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123 if (x[j] >= y)
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124 j0 = j;
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125 }
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126 #endif
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127 }
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128 }
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129
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130 // n-dimensional linear interpolation
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131
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132 template <typename T, typename DT>
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133 void
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134 lin_interpn (int n, const octave_idx_type *size, const octave_idx_type *scale,
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135 octave_idx_type Ni, DT extrapval, const T **x,
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136 const DT *v, const T **y, DT *vi)
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137 {
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138 bool out = false;
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139 int bit;
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140
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141 OCTAVE_LOCAL_BUFFER (T, coef, 2*n);
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142 OCTAVE_LOCAL_BUFFER (octave_idx_type, index, n);
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143
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144 // loop over all points
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145 for (octave_idx_type m = 0; m < Ni; m++)
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146 {
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147 // loop over all dimensions
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148 for (int i = 0; i < n; i++)
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149 {
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150 index[i] = lookup (x[i], size[i], y[i][m]);
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151 out = index[i] == -1;
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152
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153 if (out)
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154 break;
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155 else
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156 {
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157 octave_idx_type j = index[i];
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158 coef[2*i+1] = (y[i][m] - x[i][j])/(x[i][j+1] - x[i][j]);
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159 coef[2*i] = 1 - coef[2*i+1];
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160 }
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161 }
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162
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163 if (out)
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164 vi[m] = extrapval;
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165 else
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166 {
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167 vi[m] = 0;
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168
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169 // loop over all corners of hypercube (1<<n = 2^n)
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170 for (int i = 0; i < (1 << n); i++)
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171 {
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172 T c = 1;
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173 octave_idx_type l = 0;
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174
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175 // loop over all dimensions
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176 for (int j = 0; j < n; j++)
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177 {
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178 // test if the jth bit in i is set
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179 bit = i >> j & 1;
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180 l += scale[j] * (index[j] + bit);
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181 c *= coef[2*j+bit];
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182 }
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183
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184 vi[m] += c * v[l];
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185 }
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186 }
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187 }
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188 }
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189
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190 template <typename MT, typename DMT, typename DT>
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191 octave_value
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192 lin_interpn (int n, MT *X, const DMT V, MT *Y, DT extrapval)
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193 {
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194 static_assert(std::is_same<DT, typename DMT::element_type>::value,
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195 "Type DMT must be an ArrayType with elements of type DT.");
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196 using T = typename MT::element_type;
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197
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198 octave_value retval;
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199
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200 DMT Vi = DMT (Y[0].dims ());
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201
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202 OCTAVE_LOCAL_BUFFER (const T *, y, n);
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203 OCTAVE_LOCAL_BUFFER (octave_idx_type, size, n);
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204
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205 for (int i = 0; i < n; i++)
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206 {
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207 y[i] = Y[i].data ();
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208 size[i] = V.dims ()(i);
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209 }
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210
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211 OCTAVE_LOCAL_BUFFER (const T *, x, n);
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212 OCTAVE_LOCAL_BUFFER (octave_idx_type, scale, n);
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213
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214 const DT *v = V.data ();
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215 DT *vi = Vi.rwdata ();
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216 octave_idx_type Ni = Vi.numel ();
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217
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218 // offset in memory of each dimension
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219
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220 scale[0] = 1;
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221
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222 for (int i = 1; i < n; i++)
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223 scale[i] = scale[i-1] * size[i-1];
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224
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225 // tests if X[0] is a vector, if yes, assume that all elements of X are
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226 // in the ndgrid format.
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227
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228 if (! isvector (X[0]))
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229 {
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230 for (int i = 0; i < n; i++)
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231 {
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232 if (X[i].dims () != V.dims ())
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233 error ("interpn: incompatible size of argument number %d", i+1);
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234
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235 MT tmp = MT (dim_vector (size[i], 1));
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236
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237 for (octave_idx_type j = 0; j < size[i]; j++)
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238 tmp(j) = X[i](scale[i]*j);
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239
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240 X[i] = tmp;
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241 }
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242 }
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243
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244 for (int i = 0; i < n; i++)
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245 {
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246 if (! isvector (X[i]) && X[i].numel () != size[i])
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247 error ("interpn: incompatible size of argument number %d", i+1);
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248
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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
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259 // Perform @var{n}-dimensional interpolation. Each element of then
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260 // @var{n}-dimensional array @var{v} represents a value at a location
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diff changeset
261 // given by the parameters @var{x1}, @var{x2},...,@var{xn}. The parameters
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262 // @var{x1}, @var{x2}, @dots{}, @var{xn} are either @var{n}-dimensional
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263 // arrays of the same size as the array @var{v} in the "ndgrid" format
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diff changeset
264 // or vectors. The parameters @var{y1}, @var{y2}, @dots{}, @var{yn} are
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265 // all @var{n}-dimensional arrays of the same size and represent the
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266 // points at which the array @var{vi} is interpolated.
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267 //
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268 //This function only performs linear interpolation.
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diff changeset
269
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diff changeset
270 DEFUN (__lin_interpn__, args, ,
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diff changeset
271 doc: /* -*- texinfo -*-
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diff changeset
272 @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
273 Undocumented internal function.
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274 @end deftypefn */)
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275 {
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276 int nargin = args.length ();
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277
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278 if (nargin < 2 || nargin % 2 == 0)
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279 print_usage ();
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280
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281 octave_value retval;
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282
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283 // dimension of the problem
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284 int n = (nargin-1)/2;
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285
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286 if (args(n).is_single_type ())
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287 {
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288 OCTAVE_LOCAL_BUFFER (FloatNDArray, X, n);
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289 OCTAVE_LOCAL_BUFFER (FloatNDArray, Y, n);
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290
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291 for (int i = 0; i < n; i++)
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292 {
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293 X[i] = args(i).float_array_value ();
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294 Y[i] = args(n+i+1).float_array_value ();
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295
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296 if (Y[0].dims () != Y[i].dims ())
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297 error ("interpn: incompatible size of argument number %d", n+i+2);
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298 }
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299
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300 if (args(n).iscomplex ())
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301 {
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302 const FloatComplexNDArray V = args(n).float_complex_array_value ();
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303 FloatComplex extrapval (octave_NA, octave_NA);
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304 retval = lin_interpn (n, X, V, Y, extrapval);
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305 }
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306 else
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307 {
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308 const FloatNDArray V = args(n).float_array_value ();
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309 float extrapval = octave_NA;
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310 retval = lin_interpn (n, X, V, Y, extrapval);
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311 }
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312 }
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313 else
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314 {
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315 OCTAVE_LOCAL_BUFFER (NDArray, X, n);
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316 OCTAVE_LOCAL_BUFFER (NDArray, Y, n);
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317
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318 for (int i = 0; i < n; i++)
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319 {
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320 X[i] = args(i).array_value ();
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321 Y[i] = args(n+i+1).array_value ();
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322
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323 if (Y[0].dims () != Y[i].dims ())
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324 error ("interpn: incompatible size of argument number %d", n+i+2);
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325 }
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326
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327 if (args(n).iscomplex ())
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328 {
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329 const ComplexNDArray V = args(n).complex_array_value ();
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330 Complex extrapval (octave_NA, octave_NA);
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331 retval = lin_interpn (n, X, V, Y, extrapval);
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332 }
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333 else
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334 {
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335 const NDArray V = args(n).array_value ();
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336 double extrapval = octave_NA;
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337 retval = lin_interpn (n, X, V, Y, extrapval);
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338 }
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339 }
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340
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341 return retval;
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342 }
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343
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344 /*
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345 ## Test that real and imaginary parts are interpolated the same way
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346 ## and outer points are set to NA + 1i*NA
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347 %!test <*61907>
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348 %! x1 = 1:3;
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349 %! x2 = 1:4;
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350 %! v = repmat(1:4, 3, 1) + 1i * repmat((1:3)', 1, 4);
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351 %! [XI2, XI1] = meshgrid(1.5:3.5, 1.5:3.5);
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352 %! vi_complex = __lin_interpn__ (x1, x2, v, XI1, XI2);
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353 %! vi_real = __lin_interpn__ (x1, x2, real (v), XI1, XI2);
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354 %! vi_imag = __lin_interpn__ (x1, x2, imag (v), XI1, XI2);
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355 %! assert (real (vi_complex), vi_real);
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356 %! assert (imag (vi_complex), vi_imag);
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357 */
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358
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359 OCTAVE_END_NAMESPACE(octave)