Mercurial > octave
annotate libinterp/corefcn/tsearch.cc @ 27923:bd51beb6205e
update formatting of copyright notices
* Use <https://octave.org/copyright/> instead of
<https://octave.org/COPYRIGHT.html/>.
* For consistency with other comments in the Octave sources, use
C++-style comments for copyright blocks in C and C++ files.
* Use delimiters above and below copyright blocks that are appropriate
for the language used in the file.
* Eliminate extra spacing inside copyright blocks.
* lex.ll (looks_like_copyright): Also allow newlines and carriage
returns before the word "Copyright".
* scripts/mk-doc.pl (gethelp): Also skip empty comment lines.
* bp-table.cc, type.m: Adjust tests.
author | John W. Eaton <jwe@octave.org> |
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date | Wed, 08 Jan 2020 11:59:41 -0500 |
parents | 1891570abac8 |
children | a4268efb7334 |
rev | line source |
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1 //////////////////////////////////////////////////////////////////////// |
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2 // |
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3 // Copyright (C) 2002-2020 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 //////////////////////////////////////////////////////////////////////// |
6823 | 25 |
7016 | 26 // Author: Andreas Stahel <Andreas.Stahel@hta-bi.bfh.ch> |
27 | |
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28 #if defined (HAVE_CONFIG_H) |
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29 # include "config.h" |
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30 #endif |
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31 |
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32 #include <cmath> |
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33 |
6823 | 34 #include "lo-ieee.h" |
35 | |
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36 #include "defun.h" |
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37 #include "error.h" |
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38 #include "ovl.h" |
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39 |
10550 | 40 inline double max (double a, double b, double c) |
6823 | 41 { |
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42 if (a < b) |
10550 | 43 return (b < c ? c : b); |
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44 else |
10550 | 45 return (a < c ? c : a); |
6823 | 46 } |
47 | |
10550 | 48 inline double min (double a, double b, double c) |
6823 | 49 { |
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50 if (a > b) |
10550 | 51 return (b > c ? c : b); |
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52 else |
10550 | 53 return (a > c ? c : a); |
6823 | 54 } |
55 | |
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56 #define REF(x,k,i) x(static_cast<octave_idx_type> (elem((k), (i))) - 1) |
6823 | 57 |
58 // for large data set the algorithm is very slow | |
59 // one should presort (how?) either the elements of the points of evaluation | |
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60 // to cut down the time needed to decide which triangle contains the |
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61 // given point |
6823 | 62 |
63 // e.g., build up a neighbouring triangle structure and use a simplex-like | |
64 // method to traverse it | |
65 | |
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66 DEFUN (tsearch, args, , |
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67 doc: /* -*- texinfo -*- |
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68 @deftypefn {} {@var{idx} =} tsearch (@var{x}, @var{y}, @var{t}, @var{xi}, @var{yi}) |
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69 Search for the enclosing Delaunay convex hull. |
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70 |
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71 For @code{@var{t} = delaunay (@var{x}, @var{y})}, finds the index in @var{t} |
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72 containing the points @code{(@var{xi}, @var{yi})}. For points outside the |
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73 convex hull, @var{idx} is NaN. |
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74 @seealso{delaunay, delaunayn} |
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75 @end deftypefn */) |
6823 | 76 { |
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77 if (args.length () != 5) |
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78 print_usage (); |
6823 | 79 |
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80 const double eps = 1.0e-12; |
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81 |
10550 | 82 const ColumnVector x (args(0).vector_value ()); |
83 const ColumnVector y (args(1).vector_value ()); | |
84 const Matrix elem (args(2).matrix_value ()); | |
85 const ColumnVector xi (args(3).vector_value ()); | |
86 const ColumnVector yi (args(4).vector_value ()); | |
6823 | 87 |
10550 | 88 const octave_idx_type nelem = elem.rows (); |
6823 | 89 |
10550 | 90 ColumnVector minx (nelem); |
91 ColumnVector maxx (nelem); | |
92 ColumnVector miny (nelem); | |
93 ColumnVector maxy (nelem); | |
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94 for (octave_idx_type k = 0; k < nelem; k++) |
6823 | 95 { |
10550 | 96 minx(k) = min (REF (x, k, 0), REF (x, k, 1), REF (x, k, 2)) - eps; |
97 maxx(k) = max (REF (x, k, 0), REF (x, k, 1), REF (x, k, 2)) + eps; | |
98 miny(k) = min (REF (y, k, 0), REF (y, k, 1), REF (y, k, 2)) - eps; | |
99 maxy(k) = max (REF (y, k, 0), REF (y, k, 1), REF (y, k, 2)) + eps; | |
6823 | 100 } |
101 | |
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102 const octave_idx_type np = xi.numel (); |
10550 | 103 ColumnVector values (np); |
6823 | 104 |
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105 double x0, y0, a11, a12, a21, a22, det; |
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106 x0 = y0 = 0.0; |
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107 a11 = a12 = a21 = a22 = 0.0; |
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108 det = 0.0; |
6823 | 109 |
110 octave_idx_type k = nelem; // k is a counter of elements | |
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111 for (octave_idx_type kp = 0; kp < np; kp++) |
6823 | 112 { |
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113 const double xt = xi(kp); |
6823 | 114 const double yt = yi(kp); |
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115 |
6823 | 116 // check if last triangle contains the next point |
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117 if (k < nelem) |
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118 { |
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119 const double dx1 = xt - x0; |
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120 const double dx2 = yt - y0; |
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121 const double c1 = (a22 * dx1 - a21 * dx2) / det; |
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122 const double c2 = (-a12 * dx1 + a11 * dx2) / det; |
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123 if (c1 >= -eps && c2 >= -eps && (c1 + c2) <= (1 + eps)) |
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124 { |
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125 values(kp) = double(k+1); |
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126 continue; |
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127 } |
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128 } |
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129 |
6823 | 130 // it doesn't, so go through all elements |
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131 for (k = 0; k < nelem; k++) |
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132 { |
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133 octave_quit (); |
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134 |
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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John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
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161 |
6823 | 162 } //endfor # kp |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11553
diff
changeset
|
163 |
20939
b17fda023ca6
maint: Use new C++ archetype in more files.
Rik <rik@octave.org>
parents:
20853
diff
changeset
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164 return ovl (values); |
6823 | 165 } |
166 | |
167 /* | |
168 %!shared x, y, tri | |
169 %! x = [-1;-1;1]; | |
170 %! y = [-1;1;-1]; | |
171 %! tri = [1, 2, 3]; | |
172 %!assert (tsearch (x,y,tri,-1,-1), 1) | |
173 %!assert (tsearch (x,y,tri, 1,-1), 1) | |
174 %!assert (tsearch (x,y,tri,-1, 1), 1) | |
175 %!assert (tsearch (x,y,tri,-1/3, -1/3), 1) | |
176 %!assert (tsearch (x,y,tri, 1, 1), NaN) | |
177 | |
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60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
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178 %!error tsearch () |
6823 | 179 */ |