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annotate src/DLD-FUNCTIONS/tsearch.cc @ 14138:72c96de7a403 stable

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maint: update copyright notices for 2012
author John W. Eaton <jwe@octave.org>
date Mon, 02 Jan 2012 14:25:41 -0500
parents 12df7854fa7c
children 60e5cf354d80
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1 /*
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2
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3 Copyright (C) 2002-2012 Andreas Stahel
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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 // Author: Andreas Stahel <Andreas.Stahel@hta-bi.bfh.ch>
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24
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25 #ifdef HAVE_CONFIG_H
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26 #include <config.h>
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27 #endif
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28
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29 #include <iostream>
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30 #include <fstream>
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31 #include <string>
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32
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33 #include "lo-ieee.h"
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34 #include "lo-math.h"
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35
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36 #include "defun-dld.h"
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37 #include "error.h"
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38 #include "oct-obj.h"
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39 #include "parse.h"
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40
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41 inline double max (double a, double b, double c)
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42 {
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43 if (a < b)
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44 return (b < c ? c : b);
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45 else
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46 return (a < c ? c : a);
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47 }
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48
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49 inline double min (double a, double b, double c)
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50 {
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51 if (a > b)
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52 return (b > c ? c : b);
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53 else
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54 return (a > c ? c : a);
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55 }
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56
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57 #define REF(x,k,i) x(static_cast<octave_idx_type>(elem((k), (i))) - 1)
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58
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59 // for large data set the algorithm is very slow
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60 // one should presort (how?) either the elements of the points of evaluation
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61 // to cut down the time needed to decide which triangle contains the
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62 // given point
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63
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64 // e.g., build up a neighbouring triangle structure and use a simplex-like
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65 // method to traverse it
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66
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67 DEFUN_DLD (tsearch, args, ,
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68 "-*- texinfo -*-\n\
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69 @deftypefn {Loadable Function} {@var{idx} =} tsearch (@var{x}, @var{y}, @var{t}, @var{xi}, @var{yi})\n\
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70 Search for the enclosing Delaunay convex hull. For @code{@var{t} =\n\
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71 delaunay (@var{x}, @var{y})}, finds the index in @var{t} containing the\n\
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72 points @code{(@var{xi}, @var{yi})}. For points outside the convex hull,\n\
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73 @var{idx} is NaN.\n\
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74 @seealso{delaunay, delaunayn}\n\
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75 @end deftypefn")
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76 {
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77 const double eps=1.0e-12;
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78
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79 octave_value_list retval;
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80 const int nargin = args.length ();
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81 if (nargin != 5)
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82 {
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83 print_usage ();
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84 return retval;
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85 }
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86
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87 const ColumnVector x (args(0).vector_value ());
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88 const ColumnVector y (args(1).vector_value ());
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89 const Matrix elem (args(2).matrix_value ());
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90 const ColumnVector xi (args(3).vector_value ());
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91 const ColumnVector yi (args(4).vector_value ());
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92
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93 if (error_state)
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94 return retval;
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95
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96 const octave_idx_type nelem = elem.rows ();
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97
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98 ColumnVector minx (nelem);
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99 ColumnVector maxx (nelem);
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100 ColumnVector miny (nelem);
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101 ColumnVector maxy (nelem);
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102 for (octave_idx_type k = 0; k < nelem; k++)
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103 {
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104 minx(k) = min (REF (x, k, 0), REF (x, k, 1), REF (x, k, 2)) - eps;
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105 maxx(k) = max (REF (x, k, 0), REF (x, k, 1), REF (x, k, 2)) + eps;
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106 miny(k) = min (REF (y, k, 0), REF (y, k, 1), REF (y, k, 2)) - eps;
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107 maxy(k) = max (REF (y, k, 0), REF (y, k, 1), REF (y, k, 2)) + eps;
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108 }
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109
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110 const octave_idx_type np = xi.length ();
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111 ColumnVector values (np);
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112
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113 double x0 = 0.0, y0 = 0.0;
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114 double a11 = 0.0, a12 = 0.0, a21 = 0.0, a22 = 0.0, det = 0.0;
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115
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116 octave_idx_type k = nelem; // k is a counter of elements
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117 for (octave_idx_type kp = 0; kp < np; kp++)
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118 {
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119 const double xt = xi(kp);
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120 const double yt = yi(kp);
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121
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122 // check if last triangle contains the next point
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123 if (k < nelem)
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124 {
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125 const double dx1 = xt - x0;
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126 const double dx2 = yt - y0;
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127 const double c1 = (a22 * dx1 - a21 * dx2) / det;
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128 const double c2 = (-a12 * dx1 + a11 * dx2) / det;
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129 if (c1 >= -eps && c2 >= -eps && (c1 + c2) <= (1 + eps))
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130 {
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131 values(kp) = double(k+1);
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132 continue;
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133 }
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134 }
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135
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136 // it doesn't, so go through all elements
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137 for (k = 0; k < nelem; k++)
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138 {
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139 OCTAVE_QUIT;
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140 if (xt >= minx(k) && xt <= maxx(k) && yt >= miny(k) && yt <= maxy(k))
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141 {
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142 // element inside the minimum rectangle: examine it closely
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143 x0 = REF (x, k, 0);
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144 y0 = REF (y, k, 0);
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145 a11 = REF (x, k, 1) - x0;
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146 a12 = REF (y, k, 1) - y0;
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147 a21 = REF (x, k, 2) - x0;
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148 a22 = REF (y, k, 2) - y0;
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149 det = a11 * a22 - a21 * a12;
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150
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151 // solve the system
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152 const double dx1 = xt - x0;
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153 const double dx2 = yt - y0;
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154 const double c1 = (a22 * dx1 - a21 * dx2) / det;
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155 const double c2 = (-a12 * dx1 + a11 * dx2) / det;
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156 if ((c1 >= -eps) && (c2 >= -eps) && ((c1 + c2) <= (1 + eps)))
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157 {
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158 values(kp) = double(k+1);
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159 break;
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160 }
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161 } //endif # examine this element closely
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162 } //endfor # each element
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163
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164 if (k == nelem)
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165 values(kp) = lo_ieee_nan_value ();
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166
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167 } //endfor # kp
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168
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169 retval(0) = values;
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170
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171 return retval;
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172 }
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173
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174 /*
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175 %!shared x, y, tri
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176 %! x = [-1;-1;1];
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177 %! y = [-1;1;-1];
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178 %! tri = [1, 2, 3];
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179 %!error (tsearch())
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180 %!assert (tsearch (x,y,tri,-1,-1), 1)
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181 %!assert (tsearch (x,y,tri, 1,-1), 1)
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182 %!assert (tsearch (x,y,tri,-1, 1), 1)
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183 %!assert (tsearch (x,y,tri,-1/3, -1/3), 1)
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184 %!assert (tsearch (x,y,tri, 1, 1), NaN)
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185
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186 */