Mercurial > octave-nkf
annotate libinterp/corefcn/tsearch.cc @ 20614:10ec79b47808
use new string_value method to handle value extraction errors
* __voronoi__.cc, chol.cc, colamd.cc, fftw.cc:
Use new string_value method.
author | John W. Eaton <jwe@octave.org> |
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date | Thu, 08 Oct 2015 18:15:56 -0400 |
parents | f90c8372b7ba |
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rev | line source |
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6823 | 1 /* |
2 | |
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3 Copyright (C) 2002-2015 Andreas Stahel |
6823 | 4 |
5 This file is part of Octave. | |
6 | |
7 Octave is free software; you can redistribute it and/or modify it | |
8 under the terms of the GNU General Public License as published by the | |
7016 | 9 Free Software Foundation; either version 3 of the License, or (at your |
10 option) any later version. | |
6823 | 11 |
12 Octave is distributed in the hope that it will be useful, but WITHOUT | |
13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
15 for more details. | |
16 | |
17 You should have received a copy of the GNU General Public License | |
7016 | 18 along with Octave; see the file COPYING. If not, see |
19 <http://www.gnu.org/licenses/>. | |
6823 | 20 |
21 */ | |
22 | |
7016 | 23 // Author: Andreas Stahel <Andreas.Stahel@hta-bi.bfh.ch> |
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 |
6823 | 29 #include "lo-ieee.h" |
7231 | 30 #include "lo-math.h" |
6823 | 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 |
10550 | 36 inline double max (double a, double b, double c) |
6823 | 37 { |
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38 if (a < b) |
10550 | 39 return (b < c ? c : b); |
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40 else |
10550 | 41 return (a < c ? c : a); |
6823 | 42 } |
43 | |
10550 | 44 inline double min (double a, double b, double c) |
6823 | 45 { |
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46 if (a > b) |
10550 | 47 return (b > c ? c : b); |
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48 else |
10550 | 49 return (a > c ? c : a); |
6823 | 50 } |
51 | |
52 #define REF(x,k,i) x(static_cast<octave_idx_type>(elem((k), (i))) - 1) | |
53 | |
54 // for large data set the algorithm is very slow | |
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 |
6823 | 58 |
59 // e.g., build up a neighbouring triangle structure and use a simplex-like | |
60 // method to traverse it | |
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\ |
6823 | 70 @seealso{delaunay, delaunayn}\n\ |
71 @end deftypefn") | |
72 { | |
73 const double eps=1.0e-12; | |
74 | |
75 octave_value_list retval; | |
76 const int nargin = args.length (); | |
10550 | 77 if (nargin != 5) |
78 { | |
79 print_usage (); | |
80 return retval; | |
81 } | |
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82 |
10550 | 83 const ColumnVector x (args(0).vector_value ()); |
84 const ColumnVector y (args(1).vector_value ()); | |
85 const Matrix elem (args(2).matrix_value ()); | |
86 const ColumnVector xi (args(3).vector_value ()); | |
87 const ColumnVector yi (args(4).vector_value ()); | |
6823 | 88 |
10550 | 89 const octave_idx_type nelem = elem.rows (); |
6823 | 90 |
10550 | 91 ColumnVector minx (nelem); |
92 ColumnVector maxx (nelem); | |
93 ColumnVector miny (nelem); | |
94 ColumnVector maxy (nelem); | |
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95 for (octave_idx_type k = 0; k < nelem; k++) |
6823 | 96 { |
10550 | 97 minx(k) = min (REF (x, k, 0), REF (x, k, 1), REF (x, k, 2)) - eps; |
98 maxx(k) = max (REF (x, k, 0), REF (x, k, 1), REF (x, k, 2)) + eps; | |
99 miny(k) = min (REF (y, k, 0), REF (y, k, 1), REF (y, k, 2)) - eps; | |
100 maxy(k) = max (REF (y, k, 0), REF (y, k, 1), REF (y, k, 2)) + eps; | |
6823 | 101 } |
102 | |
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103 const octave_idx_type np = xi.numel (); |
10550 | 104 ColumnVector values (np); |
6823 | 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; |
6823 | 110 |
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++) |
6823 | 113 { |
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114 const double xt = xi(kp); |
6823 | 115 const double yt = yi(kp); |
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116 |
6823 | 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 |
6823 | 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; |
10550 | 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 |
10550 | 138 x0 = REF (x, k, 0); |
139 y0 = REF (y, k, 0); | |
140 a11 = REF (x, k, 1) - x0; | |
141 a12 = REF (y, k, 1) - y0; | |
142 a21 = REF (x, k, 2) - x0; | |
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 |
6823 | 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 |
6823 | 162 } //endfor # kp |
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163 |
6823 | 164 retval(0) = values; |
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165 |
6823 | 166 return retval; |
167 } | |
168 | |
169 /* | |
170 %!shared x, y, tri | |
171 %! x = [-1;-1;1]; | |
172 %! y = [-1;1;-1]; | |
173 %! tri = [1, 2, 3]; | |
174 %!assert (tsearch (x,y,tri,-1,-1), 1) | |
175 %!assert (tsearch (x,y,tri, 1,-1), 1) | |
176 %!assert (tsearch (x,y,tri,-1, 1), 1) | |
177 %!assert (tsearch (x,y,tri,-1/3, -1/3), 1) | |
178 %!assert (tsearch (x,y,tri, 1, 1), NaN) | |
179 | |
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180 %!error tsearch () |
6823 | 181 */ |