Mercurial > octave
annotate libinterp/corefcn/tsearch.cc @ 20232:a9574e3c6e9e
Deprecate Array::length() and Sparse::length() in favour of ::numel().
* liboctave/array/Array.h (Array::length): deprecate for ::numel.
* liboctave/array/Sparse.h (Sparse::length): deprecate for ::numel.
* libgui/graphics/QtHandlesUtils.cc, libgui/src/octave-qt-link.cc,
libinterp/corefcn/Cell.cc, libinterp/corefcn/__contourc__.cc,
libinterp/corefcn/__pchip_deriv__.cc, libinterp/corefcn/__qp__.cc,
libinterp/corefcn/cellfun.cc, libinterp/corefcn/daspk.cc,
libinterp/corefcn/dasrt.cc, libinterp/corefcn/dassl.cc,
libinterp/corefcn/data.cc, libinterp/corefcn/filter.cc,
libinterp/corefcn/find.cc, libinterp/corefcn/gl-render.cc,
libinterp/corefcn/gl-render.h, libinterp/corefcn/graphics.cc,
libinterp/corefcn/graphics.in.h, libinterp/corefcn/help.cc,
libinterp/corefcn/hex2num.cc, libinterp/corefcn/input.cc,
libinterp/corefcn/load-path.cc, libinterp/corefcn/load-save.cc,
libinterp/corefcn/ls-oct-ascii.h, libinterp/corefcn/lsode.cc,
libinterp/corefcn/matrix_type.cc, libinterp/corefcn/oct-hist.cc,
libinterp/corefcn/oct-map.cc, libinterp/corefcn/oct-map.h,
libinterp/corefcn/oct-obj.h, libinterp/corefcn/oct-stream.cc,
libinterp/corefcn/oct-stream.h, libinterp/corefcn/pr-output.cc,
libinterp/corefcn/quadcc.cc, libinterp/corefcn/rand.cc,
libinterp/corefcn/regexp.cc, libinterp/corefcn/strfns.cc,
libinterp/corefcn/sub2ind.cc, libinterp/corefcn/symtab.h,
libinterp/corefcn/syscalls.cc, libinterp/corefcn/tsearch.cc,
libinterp/corefcn/urlwrite.cc, libinterp/corefcn/utils.cc,
libinterp/corefcn/variables.cc, libinterp/corefcn/xdiv.cc,
libinterp/corefcn/xpow.cc, libinterp/dldfcn/__glpk__.cc,
libinterp/dldfcn/__init_fltk__.cc, libinterp/dldfcn/__magick_read__.cc,
libinterp/dldfcn/audiodevinfo.cc, libinterp/dldfcn/ccolamd.cc,
libinterp/dldfcn/colamd.cc, libinterp/octave-value/ov-cell.cc,
libinterp/octave-value/ov-class.cc, libinterp/octave-value/ov-class.h,
libinterp/octave-value/ov-fcn-inline.cc, libinterp/octave-value/ov-java.cc,
libinterp/octave-value/ov-perm.cc, libinterp/octave-value/ov-struct.cc,
libinterp/octave-value/ov-typeinfo.cc, libinterp/octave-value/ov.cc,
libinterp/operators/op-int.h, libinterp/parse-tree/pt-pr-code.cc,
liboctave/array/Array-util.cc, liboctave/array/Array.cc,
liboctave/array/CColVector.cc, liboctave/array/CDiagMatrix.cc,
liboctave/array/CMatrix.cc, liboctave/array/CRowVector.cc,
liboctave/array/DiagArray2.cc, liboctave/array/DiagArray2.h,
liboctave/array/MArray.cc, liboctave/array/PermMatrix.cc,
liboctave/array/PermMatrix.h, liboctave/array/Sparse.cc,
liboctave/array/boolMatrix.cc, liboctave/array/chMatrix.cc,
liboctave/array/chNDArray.cc, liboctave/array/dColVector.cc,
liboctave/array/dDiagMatrix.cc, liboctave/array/dMatrix.cc,
liboctave/array/dRowVector.cc, liboctave/array/fCColVector.cc,
liboctave/array/fCDiagMatrix.cc, liboctave/array/fCMatrix.cc,
liboctave/array/fCRowVector.cc, liboctave/array/fColVector.cc,
liboctave/array/fDiagMatrix.cc, liboctave/array/fMatrix.cc,
liboctave/array/fRowVector.cc, liboctave/array/idx-vector.cc,
liboctave/array/intNDArray.cc, liboctave/numeric/CmplxCHOL.cc,
liboctave/numeric/CmplxLU.cc, liboctave/numeric/CmplxQR.cc,
liboctave/numeric/DASPK.cc, liboctave/numeric/DASRT.cc,
liboctave/numeric/DASSL.cc, liboctave/numeric/LSODE.cc,
liboctave/numeric/ODES.cc, liboctave/numeric/ODES.h,
liboctave/numeric/base-dae.h, liboctave/numeric/base-lu.cc,
liboctave/numeric/dbleCHOL.cc, liboctave/numeric/dbleLU.cc,
liboctave/numeric/dbleQR.cc, liboctave/numeric/eigs-base.cc,
liboctave/numeric/fCmplxCHOL.cc, liboctave/numeric/fCmplxLU.cc,
liboctave/numeric/fCmplxQR.cc, liboctave/numeric/floatCHOL.cc,
liboctave/numeric/floatLU.cc, liboctave/numeric/floatQR.cc,
liboctave/numeric/lo-specfun.cc, liboctave/numeric/oct-rand.cc,
liboctave/numeric/oct-spparms.cc, liboctave/numeric/sparse-base-chol.cc,
liboctave/operators/mx-inlines.cc, liboctave/system/file-ops.cc,
liboctave/util/glob-match.h, liboctave/util/kpse.cc,
liboctave/util/lo-regexp.cc, liboctave/util/oct-glob.cc,
liboctave/util/pathsearch.cc, liboctave/util/str-vec.cc,
liboctave/util/str-vec.h, liboctave/util/url-transfer.cc: replace all usage
of Array::length() and Sparse::length() with ::numel().
author | Carnë Draug <carandraug@octave.org> |
---|---|
date | Sat, 30 May 2015 03:14:07 +0100 |
parents | 4f45eaf83908 |
children | f90c8372b7ba |
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 if (error_state) |
90 return retval; | |
91 | |
92 const octave_idx_type nelem = elem.rows (); | |
6823 | 93 |
10550 | 94 ColumnVector minx (nelem); |
95 ColumnVector maxx (nelem); | |
96 ColumnVector miny (nelem); | |
97 ColumnVector maxy (nelem); | |
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98 for (octave_idx_type k = 0; k < nelem; k++) |
6823 | 99 { |
10550 | 100 minx(k) = min (REF (x, k, 0), REF (x, k, 1), REF (x, k, 2)) - eps; |
101 maxx(k) = max (REF (x, k, 0), REF (x, k, 1), REF (x, k, 2)) + eps; | |
102 miny(k) = min (REF (y, k, 0), REF (y, k, 1), REF (y, k, 2)) - eps; | |
103 maxy(k) = max (REF (y, k, 0), REF (y, k, 1), REF (y, k, 2)) + eps; | |
6823 | 104 } |
105 | |
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106 const octave_idx_type np = xi.numel (); |
10550 | 107 ColumnVector values (np); |
6823 | 108 |
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109 double x0, y0, a11, a12, a21, a22, det; |
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110 x0 = y0 = 0.0; |
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111 a11 = a12 = a21 = a22 = 0.0; |
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112 det = 0.0; |
6823 | 113 |
114 octave_idx_type k = nelem; // k is a counter of elements | |
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115 for (octave_idx_type kp = 0; kp < np; kp++) |
6823 | 116 { |
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117 const double xt = xi(kp); |
6823 | 118 const double yt = yi(kp); |
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119 |
6823 | 120 // check if last triangle contains the next point |
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121 if (k < nelem) |
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122 { |
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123 const double dx1 = xt - x0; |
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124 const double dx2 = yt - y0; |
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125 const double c1 = (a22 * dx1 - a21 * dx2) / det; |
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126 const double c2 = (-a12 * dx1 + a11 * dx2) / det; |
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127 if (c1 >= -eps && c2 >= -eps && (c1 + c2) <= (1 + eps)) |
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128 { |
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129 values(kp) = double(k+1); |
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130 continue; |
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131 } |
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132 } |
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133 |
6823 | 134 // it doesn't, so go through all elements |
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135 for (k = 0; k < nelem; k++) |
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136 { |
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137 OCTAVE_QUIT; |
10550 | 138 if (xt >= minx(k) && xt <= maxx(k) && yt >= miny(k) && yt <= maxy(k)) |
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139 { |
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140 // element inside the minimum rectangle: examine it closely |
10550 | 141 x0 = REF (x, k, 0); |
142 y0 = REF (y, k, 0); | |
143 a11 = REF (x, k, 1) - x0; | |
144 a12 = REF (y, k, 1) - y0; | |
145 a21 = REF (x, k, 2) - x0; | |
146 a22 = REF (y, k, 2) - y0; | |
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147 det = a11 * a22 - a21 * a12; |
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148 |
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149 // solve the system |
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150 const double dx1 = xt - x0; |
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151 const double dx2 = yt - y0; |
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152 const double c1 = (a22 * dx1 - a21 * dx2) / det; |
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153 const double c2 = (-a12 * dx1 + a11 * dx2) / det; |
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154 if ((c1 >= -eps) && (c2 >= -eps) && ((c1 + c2) <= (1 + eps))) |
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155 { |
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156 values(kp) = double(k+1); |
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157 break; |
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158 } |
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159 } //endif # examine this element closely |
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160 } //endfor # each element |
6823 | 161 |
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162 if (k == nelem) |
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163 values(kp) = lo_ieee_nan_value (); |
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164 |
6823 | 165 } //endfor # kp |
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166 |
6823 | 167 retval(0) = values; |
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168 |
6823 | 169 return retval; |
170 } | |
171 | |
172 /* | |
173 %!shared x, y, tri | |
174 %! x = [-1;-1;1]; | |
175 %! y = [-1;1;-1]; | |
176 %! tri = [1, 2, 3]; | |
177 %!assert (tsearch (x,y,tri,-1,-1), 1) | |
178 %!assert (tsearch (x,y,tri, 1,-1), 1) | |
179 %!assert (tsearch (x,y,tri,-1, 1), 1) | |
180 %!assert (tsearch (x,y,tri,-1/3, -1/3), 1) | |
181 %!assert (tsearch (x,y,tri, 1, 1), NaN) | |
182 | |
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183 %!error tsearch () |
6823 | 184 */ |