annotate libinterp/corefcn/__lin_interpn__.cc @ 20654:b65888ec820e draft default tip gccjit

dmalcom gcc jit import
author Stefan Mahr <dac922@gmx.de>
date Fri, 27 Feb 2015 16:59:36 +0100
parents 4197fc428c7d
children
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1 /*
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2
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3 Copyright (C) 2007-2015 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 the
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9 Free Software Foundation; either version 3 of the License, or (at your
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10 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 WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 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 #ifdef 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 "oct-obj.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 <class 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.length () == 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 <class 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 #ifdef EXHAUSTIF
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60 for (j = 0; j < n - 1; j++)
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61 {
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62 if (x[j] <= y && y <= x[j+1])
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63 return j;
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64 }
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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 #ifdef EXHAUSTIF
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95 for (j = 0; j < n - 1; j++)
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96 {
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97 if (x[j+1] <= y && y <= x[j])
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98 return j;
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99 }
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100 #else
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101 octave_idx_type j0 = 0;
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102 octave_idx_type j1 = n - 1;
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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 <class 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
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157 if (out)
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158 vi[m] = extrapval;
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159 else
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160 {
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161 vi[m] = 0;
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162
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163 // loop over all corners of hypercube (1<<n = 2^n)
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164 for (int i = 0; i < (1 << n); i++)
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165 {
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166 T c = 1;
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167 octave_idx_type l = 0;
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168
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169 // loop over all dimensions
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170 for (int j = 0; j < n; j++)
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171 {
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172 // test if the jth bit in i is set
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173 bit = i >> j & 1;
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174 l += scale[j] * (index[j] + bit);
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175 c *= coef[2*j+bit];
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176 }
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177
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178 vi[m] += c * v[l];
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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
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184 template <class T, class M>
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185 octave_value
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186 lin_interpn (int n, M *X, const M V, M *Y)
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187 {
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188 octave_value retval;
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189
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190 M Vi = M (Y[0].dims ());
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191
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192 OCTAVE_LOCAL_BUFFER (const T *, y, n);
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193 OCTAVE_LOCAL_BUFFER (octave_idx_type, size, n);
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194
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195 for (int i = 0; i < n; i++)
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196 {
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197 y[i] = Y[i].data ();
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198 size[i] = V.dims ()(i);
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199 }
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200
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201 OCTAVE_LOCAL_BUFFER (const T *, x, n);
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202 OCTAVE_LOCAL_BUFFER (octave_idx_type, scale, n);
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203
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204 const T *v = V.data ();
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205 T *vi = Vi.fortran_vec ();
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206 octave_idx_type Ni = Vi.numel ();
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207
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208 T extrapval = octave_NA;
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209
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210 // offset in memory of each dimension
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211
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212 scale[0] = 1;
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213
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214 for (int i = 1; i < n; i++)
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215 scale[i] = scale[i-1] * size[i-1];
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216
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217 // tests if X[0] is a vector, if yes, assume that all elements of X are
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218 // in the ndgrid format.
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219
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220 if (! isvector (X[0]))
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221 {
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222 for (int i = 0; i < n; i++)
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223 {
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224 if (X[i].dims () != V.dims ())
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225 {
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226 error ("interpn: incompatible size of argument number %d", i+1);
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227 return retval;
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228 }
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229 else
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230 {
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231 M tmp = M (dim_vector (size[i], 1));
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232
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233 for (octave_idx_type j = 0; j < size[i]; j++)
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234 tmp(j) = X[i](scale[i]*j);
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235
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236 X[i] = tmp;
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237 }
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238 }
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239 }
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240
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241 for (int i = 0; i < n; i++)
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242 {
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243 if (! isvector (X[i]) && X[i].numel () != size[i])
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244 {
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245 error ("interpn: incompatible size of argument number %d", i+1);
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246 return retval;
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247 }
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248 else
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249 x[i] = X[i].data ();
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250 }
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251
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252 lin_interpn (n, size, scale, Ni, extrapval, x, v, y, vi);
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253
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254 retval = Vi;
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255
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256 return retval;
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257 }
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258
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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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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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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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269
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diff changeset
270 DEFUN (__lin_interpn__, args, ,
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271 "-*- texinfo -*-\n\
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272 @deftypefn {Built-in Function} {@var{vi} =} __lin_interpn__ (@var{x1}, @var{x2}, @dots{}, @var{xn}, @var{v}, @var{y1}, @var{y2}, @dots{}, @var{yn})\n\
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273 Undocumented internal function.\n\
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274 @end deftypefn")
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275 {
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276 octave_value retval;
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277
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278 int nargin = args.length ();
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279
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280 if (nargin < 2 || nargin % 2 == 0)
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281 {
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282 print_usage ();
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283 return retval;
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284 }
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285
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286 // dimension of the problem
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287 int n = (nargin-1)/2;
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288
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289 if (args(n).is_single_type ())
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290 {
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291 OCTAVE_LOCAL_BUFFER (FloatNDArray, X, n);
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292 OCTAVE_LOCAL_BUFFER (FloatNDArray, Y, n);
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293
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294 const FloatNDArray V = args(n).float_array_value ();
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295
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296 if (error_state)
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297 {
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298 print_usage ();
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299 return retval;
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300 }
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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).float_array_value ();
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305 Y[i] = args(n+i+1).float_array_value ();
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306
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307 if (error_state)
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308 {
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309 print_usage ();
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310 return retval;
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311 }
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312
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313 if (Y[0].dims () != Y[i].dims ())
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314 {
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315 error ("interpn: incompatible size of argument number %d", n+i+2);
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316 return retval;
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317 }
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318 }
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319
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320 retval = lin_interpn<float, FloatNDArray> (n, X, V, Y);
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321 }
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322 else
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323 {
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324 OCTAVE_LOCAL_BUFFER (NDArray, X, n);
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325 OCTAVE_LOCAL_BUFFER (NDArray, Y, n);
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326
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327 const NDArray V = args(n).array_value ();
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328
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329 if (error_state)
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330 {
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331 print_usage ();
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332 return retval;
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333 }
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334
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335 for (int i = 0; i < n; i++)
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336 {
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337 X[i] = args(i).array_value ();
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338 Y[i] = args(n+i+1).array_value ();
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339
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340 if (error_state)
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341 {
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342 print_usage ();
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343 return retval;
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344 }
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345
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346 if (Y[0].dims () != Y[i].dims ())
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347 {
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348 error ("interpn: incompatible size of argument number %d", n+i+2);
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349 return retval;
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350 }
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351 }
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352
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353 retval = lin_interpn<double, NDArray> (n, X, V, Y);
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354 }
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355
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356 return retval;
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357 }
12805
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358
3641167e5b75 codesprint: *.cc helper functions do not need tests
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359 /*
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360 ## No test needed for internal helper function.
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361 %!assert (1)
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362 */