annotate libinterp/corefcn/tsearch.cc @ 20587:f90c8372b7ba

eliminate many more simple uses of error_state * Cell.cc, __ichol__.cc, __ilu__.cc, balance.cc, bsxfun.cc, colloc.cc, det.cc, dlmread.cc, dynamic-ld.cc, eig.cc, fft.cc, fft2.cc, fftn.cc, gcd.cc, getgrent.cc, getpwent.cc, givens.cc, hess.cc, input.cc, levenshtein.cc, load-path.cc, lookup.cc, ls-mat-ascii.cc, ls-mat4.cc, lsode.cc, lu.cc, max.cc, md5sum.cc, mex.cc, pager.cc, pinv.cc, pr-output.cc, qz.cc, schur.cc, sparse.cc, sqrtm.cc, str2double.cc, strfns.cc, sub2ind.cc, sysdep.cc, time.cc, toplev.cc, tril.cc, tsearch.cc, typecast.cc, __init_gnuplot__.cc, __magick_read__.cc, __osmesa_print__.cc, amd.cc, audiodevinfo.cc, dmperm.cc, fftw.cc, symrcm.cc, ov-base-diag.cc, ov-base-sparse.cc, ov-base.cc, ov-bool-sparse.cc, ov-builtin.cc, ov-complex.cc, ov-cx-diag.cc, ov-cx-mat.cc, ov-cx-sparse.cc, ov-fcn-handle.cc, ov-fcn-inline.cc, ov-float.cc, ov-flt-complex.cc, ov-flt-cx-diag.cc, ov-flt-cx-mat.cc, ov-flt-re-diag.cc, ov-flt-re-mat.cc, ov-lazy-idx.cc, ov-mex-fcn.cc, ov-perm.cc, ov-range.cc, ov-re-diag.cc, ov-re-mat.cc, ov-re-sparse.cc, ov-scalar.cc, ov-str-mat.cc, op-bm-b.cc, op-bm-bm.cc, op-sbm-b.cc, op-sbm-bm.cc, op-str-m.cc, op-str-s.cc, oct-parse.in.yy, pt-cbinop.cc, pt-colon.cc, pt-decl.cc, pt-exp.cc, pt-id.cc, pt-misc.cc, pt-select.cc, pt-unop.cc: Eliminate simple uses of error_state.
author John W. Eaton <jwe@octave.org>
date Mon, 05 Oct 2015 19:29:36 -0400
parents a9574e3c6e9e
children
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1 /*
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2
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3 Copyright (C) 2002-2015 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 "lo-ieee.h"
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30 #include "lo-math.h"
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31
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32 #include "defun.h"
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33 #include "error.h"
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34 #include "oct-obj.h"
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35
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36 inline double max (double a, double b, double c)
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37 {
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38 if (a < b)
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39 return (b < c ? c : b);
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40 else
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41 return (a < c ? c : a);
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42 }
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43
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44 inline double min (double a, double b, double c)
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45 {
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46 if (a > b)
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47 return (b > c ? c : b);
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48 else
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49 return (a > c ? c : a);
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50 }
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51
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52 #define REF(x,k,i) x(static_cast<octave_idx_type>(elem((k), (i))) - 1)
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53
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54 // for large data set the algorithm is very slow
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55 // one should presort (how?) either the elements of the points of evaluation
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56 // to cut down the time needed to decide which triangle contains the
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57 // given point
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58
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59 // e.g., build up a neighbouring triangle structure and use a simplex-like
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60 // method to traverse it
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61
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62 DEFUN (tsearch, args, ,
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63 "-*- texinfo -*-\n\
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64 @deftypefn {Built-in Function} {@var{idx} =} tsearch (@var{x}, @var{y}, @var{t}, @var{xi}, @var{yi})\n\
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65 Search for the enclosing Delaunay convex hull.\n\
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66 \n\
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67 For @code{@var{t} = delaunay (@var{x}, @var{y})}, finds the index in @var{t}\n\
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68 containing the points @code{(@var{xi}, @var{yi})}. For points outside the\n\
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69 convex hull, @var{idx} is NaN.\n\
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70 @seealso{delaunay, delaunayn}\n\
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71 @end deftypefn")
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72 {
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73 const double eps=1.0e-12;
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74
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75 octave_value_list retval;
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76 const int nargin = args.length ();
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77 if (nargin != 5)
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78 {
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79 print_usage ();
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80 return retval;
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81 }
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82
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83 const ColumnVector x (args(0).vector_value ());
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84 const ColumnVector y (args(1).vector_value ());
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85 const Matrix elem (args(2).matrix_value ());
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86 const ColumnVector xi (args(3).vector_value ());
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87 const ColumnVector yi (args(4).vector_value ());
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88
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89 const octave_idx_type nelem = elem.rows ();
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90
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91 ColumnVector minx (nelem);
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92 ColumnVector maxx (nelem);
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93 ColumnVector miny (nelem);
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94 ColumnVector maxy (nelem);
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95 for (octave_idx_type k = 0; k < nelem; k++)
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96 {
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97 minx(k) = min (REF (x, k, 0), REF (x, k, 1), REF (x, k, 2)) - eps;
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98 maxx(k) = max (REF (x, k, 0), REF (x, k, 1), REF (x, k, 2)) + eps;
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99 miny(k) = min (REF (y, k, 0), REF (y, k, 1), REF (y, k, 2)) - eps;
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100 maxy(k) = max (REF (y, k, 0), REF (y, k, 1), REF (y, k, 2)) + eps;
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101 }
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102
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103 const octave_idx_type np = xi.numel ();
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104 ColumnVector values (np);
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105
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106 double x0, y0, a11, a12, a21, a22, det;
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107 x0 = y0 = 0.0;
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108 a11 = a12 = a21 = a22 = 0.0;
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109 det = 0.0;
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110
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111 octave_idx_type k = nelem; // k is a counter of elements
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112 for (octave_idx_type kp = 0; kp < np; kp++)
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113 {
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114 const double xt = xi(kp);
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115 const double yt = yi(kp);
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116
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117 // check if last triangle contains the next point
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118 if (k < nelem)
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119 {
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120 const double dx1 = xt - x0;
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121 const double dx2 = yt - y0;
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122 const double c1 = (a22 * dx1 - a21 * dx2) / det;
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123 const double c2 = (-a12 * dx1 + a11 * dx2) / det;
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124 if (c1 >= -eps && c2 >= -eps && (c1 + c2) <= (1 + eps))
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125 {
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126 values(kp) = double(k+1);
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127 continue;
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128 }
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129 }
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130
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131 // it doesn't, so go through all elements
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132 for (k = 0; k < nelem; k++)
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133 {
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134 OCTAVE_QUIT;
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135 if (xt >= minx(k) && xt <= maxx(k) && yt >= miny(k) && yt <= maxy(k))
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136 {
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137 // element inside the minimum rectangle: examine it closely
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138 x0 = REF (x, k, 0);
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139 y0 = REF (y, k, 0);
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140 a11 = REF (x, k, 1) - x0;
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141 a12 = REF (y, k, 1) - y0;
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142 a21 = REF (x, k, 2) - x0;
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143 a22 = REF (y, k, 2) - y0;
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144 det = a11 * a22 - a21 * a12;
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145
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146 // solve the system
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147 const double dx1 = xt - x0;
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148 const double dx2 = yt - y0;
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149 const double c1 = (a22 * dx1 - a21 * dx2) / det;
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150 const double c2 = (-a12 * dx1 + a11 * dx2) / det;
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151 if ((c1 >= -eps) && (c2 >= -eps) && ((c1 + c2) <= (1 + eps)))
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152 {
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153 values(kp) = double(k+1);
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154 break;
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155 }
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156 } //endif # examine this element closely
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157 } //endfor # each element
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158
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159 if (k == nelem)
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160 values(kp) = lo_ieee_nan_value ();
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161
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162 } //endfor # kp
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163
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164 retval(0) = values;
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165
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166 return retval;
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167 }
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168
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169 /*
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170 %!shared x, y, tri
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171 %! x = [-1;-1;1];
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172 %! y = [-1;1;-1];
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173 %! tri = [1, 2, 3];
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174 %!assert (tsearch (x,y,tri,-1,-1), 1)
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175 %!assert (tsearch (x,y,tri, 1,-1), 1)
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176 %!assert (tsearch (x,y,tri,-1, 1), 1)
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177 %!assert (tsearch (x,y,tri,-1/3, -1/3), 1)
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178 %!assert (tsearch (x,y,tri, 1, 1), NaN)
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179
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180 %!error tsearch ()
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181 */