Mercurial > octave
annotate libinterp/corefcn/find.cc @ 29961:7d6709900da7
eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more
Files affected: __betainc__.cc, __contourc__.cc, __eigs__.cc,
__expint__.cc, __ftp__.cc, __gammainc__.cc, __ichol__.cc, __ilu__.cc,
__magick_read__.cc, __pchip_deriv__.cc, __qp__.cc, amd.cc, balance.cc,
besselj.cc, bsxfun.cc, call-stack.cc, ccolamd.cc, cellfun.cc, chol.cc,
colamd.cc, colloc.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc,
defaults.cc, dirfns.cc, display.cc, dlmread.cc, dmperm.cc, dot.cc,
eig.cc, ellipj.cc, environment.cc, error.cc, event-manager.cc, fft.cc,
fft2.cc, fftn.cc, file-io.cc, find.cc, gcd.cc, getgrent.cc,
getpwent.cc, getrusage.cc, gsvd.cc, hash.cc, help.cc, hess.cc,
hex2num.cc, input.cc, inv.cc, jsondecode.cc, jsonencode.cc,
load-path.cc, load-save.cc, lookup.cc, lsode.cc, lu.cc, max.cc,
mgorth.cc, oct-hist.cc, ordqz.cc, ordschur.cc, pager.cc, pr-output.cc,
psi.cc, qr.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, regexp.cc,
schur.cc, settings.cc, sighandlers.cc, sparse.cc, spparms.cc,
sqrtm.cc, stream-euler.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc,
symbfact.cc, symtab.cc, syscalls.cc, sysdep.cc, time.cc, toplev.cc,
tril.cc, typecast.cc, urlwrite.cc, utils.cc, variables.cc,
__delaunayn__.cc, __fltk_uigetfile__.cc, __glpk__.cc,
__init_gnuplot__.cc, __ode15__.cc, __voronoi__.cc, audiodevinfo.cc,
audioread.cc, convhulln.cc, fftw.cc, gzip.cc, ov-cell.cc, ov-class.cc,
ov-classdef.cc, ov-fcn-handle.cc, ov-struct.cc, ov-typeinfo.cc,
ov-usr-fcn.cc, octave.cc, lex.ll, oct-parse.yy, profiler.cc,
andpt-eval.cc.
author | John W. Eaton <jwe@octave.org> |
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date | Sat, 14 Aug 2021 22:48:52 -0400 |
parents | 32c3a5805893 |
children | 91c6288781ba 796f54d4ddbf |
rev | line source |
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1 //////////////////////////////////////////////////////////////////////// |
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2 // |
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3 // Copyright (C) 1996-2021 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 //////////////////////////////////////////////////////////////////////// |
2928 | 25 |
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26 #if defined (HAVE_CONFIG_H) |
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27 # include "config.h" |
2928 | 28 #endif |
29 | |
4153 | 30 #include "quit.h" |
31 | |
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32 #include "defun.h" |
2928 | 33 #include "error.h" |
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34 #include "errwarn.h" |
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35 #include "ovl.h" |
2928 | 36 |
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37 OCTAVE_NAMESPACE_BEGIN |
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38 |
6002 | 39 // Find at most N_TO_FIND nonzero elements in NDA. Search forward if |
40 // DIRECTION is 1, backward if it is -1. NARGOUT is the number of | |
41 // output arguments. If N_TO_FIND is -1, find all nonzero elements. | |
4678 | 42 |
43 template <typename T> | |
44 octave_value_list | |
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45 find_nonzero_elem_idx (const Array<T>& nda, int nargout, |
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46 octave_idx_type n_to_find, int direction) |
4678 | 47 { |
6002 | 48 octave_value_list retval ((nargout == 0 ? 1 : nargout), Matrix ()); |
4678 | 49 |
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50 Array<octave_idx_type> idx; |
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51 if (n_to_find >= 0) |
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52 idx = nda.find (n_to_find, direction == -1); |
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53 else |
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54 idx = nda.find (); |
5130 | 55 |
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56 // The maximum element is always at the end. |
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57 octave_idx_type iext = (idx.isempty () ? 0 : idx.xelem (idx.numel () - 1) + 1); |
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58 |
2928 | 59 switch (nargout) |
60 { | |
6254 | 61 default: |
2928 | 62 case 3: |
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63 retval(2) = Array<T> (nda.index (idx_vector (idx))); |
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64 OCTAVE_FALLTHROUGH; |
2928 | 65 |
66 case 2: | |
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67 { |
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68 Array<octave_idx_type> jdx (idx.dims ()); |
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69 octave_idx_type n = idx.numel (); |
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70 octave_idx_type nr = nda.rows (); |
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71 for (octave_idx_type i = 0; i < n; i++) |
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72 { |
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73 jdx.xelem (i) = idx.xelem (i) / nr; |
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74 idx.xelem (i) %= nr; |
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75 } |
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76 iext = -1; |
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77 retval(1) = idx_vector (jdx, -1); |
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78 } |
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79 OCTAVE_FALLTHROUGH; |
2928 | 80 |
6254 | 81 case 1: |
82 case 0: | |
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83 retval(0) = idx_vector (idx, iext); |
2928 | 84 break; |
85 } | |
86 | |
87 return retval; | |
88 } | |
89 | |
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90 template <typename T> |
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91 octave_value_list |
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92 find_nonzero_elem_idx (const Sparse<T>& v, int nargout, |
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93 octave_idx_type n_to_find, int direction) |
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94 { |
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95 nargout = std::min (nargout, 5); |
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96 octave_value_list retval ((nargout == 0 ? 1 : nargout), Matrix ()); |
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97 |
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98 octave_idx_type nr = v.rows (); |
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99 octave_idx_type nc = v.cols (); |
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100 octave_idx_type nz = v.nnz (); |
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101 |
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102 // Search in the default range. |
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103 octave_idx_type start_nc = -1; |
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104 octave_idx_type end_nc = -1; |
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105 octave_idx_type count; |
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106 |
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107 // Search for the range to search |
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108 if (n_to_find < 0) |
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109 { |
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110 start_nc = 0; |
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111 end_nc = nc; |
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112 n_to_find = nz; |
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113 } |
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114 else if (direction > 0) |
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115 { |
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116 for (octave_idx_type j = 0; j < nc; j++) |
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117 { |
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118 octave_quit (); |
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119 |
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120 if (v.cidx (j) == 0 && v.cidx (j+1) != 0) |
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121 start_nc = j; |
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122 if (v.cidx (j+1) >= n_to_find) |
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123 { |
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124 end_nc = j + 1; |
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125 break; |
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126 } |
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127 } |
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128 } |
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129 else |
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130 { |
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131 for (octave_idx_type j = nc; j > 0; j--) |
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132 { |
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133 octave_quit (); |
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134 |
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135 if (v.cidx (j) == nz && v.cidx (j-1) != nz) |
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136 end_nc = j; |
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137 if (nz - v.cidx (j-1) >= n_to_find) |
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138 { |
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139 start_nc = j - 1; |
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140 break; |
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141 } |
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142 } |
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143 } |
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144 |
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145 count = (n_to_find > v.cidx (end_nc) - v.cidx (start_nc) ? |
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146 v.cidx (end_nc) - v.cidx (start_nc) : n_to_find); |
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147 |
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148 octave_idx_type result_nr; |
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149 octave_idx_type result_nc; |
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150 |
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151 // Default case is to return a column vector, however, if the original |
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152 // argument was a row vector, then force return of a row vector. |
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153 if (nr == 1) |
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154 { |
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155 result_nr = 1; |
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156 result_nc = count; |
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157 } |
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158 else |
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159 { |
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160 result_nr = count; |
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161 result_nc = 1; |
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162 } |
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163 |
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164 Matrix idx (result_nr, result_nc); |
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165 |
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166 Matrix i_idx (result_nr, result_nc); |
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167 Matrix j_idx (result_nr, result_nc); |
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168 |
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169 Array<T> val (dim_vector (result_nr, result_nc)); |
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170 |
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171 if (count > 0) |
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172 { |
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173 // Search for elements to return. Only search the region where there |
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174 // are elements to be found using the count that we want to find. |
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175 for (octave_idx_type j = start_nc, cx = 0; j < end_nc; j++) |
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176 for (octave_idx_type i = v.cidx (j); i < v.cidx (j+1); i++) |
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177 { |
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178 octave_quit (); |
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179 |
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180 if (direction < 0 && i < nz - count) |
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181 continue; |
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182 i_idx(cx) = static_cast<double> (v.ridx (i) + 1); |
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183 j_idx(cx) = static_cast<double> (j + 1); |
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184 idx(cx) = j * nr + v.ridx (i) + 1; |
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185 val(cx) = v.data(i); |
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186 cx++; |
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187 if (cx == count) |
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188 break; |
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189 } |
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190 } |
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191 else |
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192 { |
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193 // No items found. Fixup return dimensions for Matlab compatibility. |
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194 // The behavior to match is documented in Array.cc (Array<T>::find). |
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195 if ((nr == 0 && nc == 0) || (nr == 1 && nc == 1)) |
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196 { |
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197 idx.resize (0, 0); |
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198 |
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199 i_idx.resize (0, 0); |
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200 j_idx.resize (0, 0); |
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201 |
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202 val.resize (dim_vector (0, 0)); |
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203 } |
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204 } |
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205 |
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206 switch (nargout) |
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207 { |
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208 case 0: |
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209 case 1: |
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210 retval(0) = idx; |
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211 break; |
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212 |
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213 case 5: |
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214 retval(4) = nc; |
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215 OCTAVE_FALLTHROUGH; |
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216 |
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217 case 4: |
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218 retval(3) = nr; |
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219 OCTAVE_FALLTHROUGH; |
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220 |
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221 case 3: |
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222 retval(2) = val; |
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223 OCTAVE_FALLTHROUGH; |
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224 |
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225 case 2: |
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226 retval(1) = j_idx; |
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227 retval(0) = i_idx; |
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228 } |
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229 |
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230 return retval; |
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231 } |
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232 |
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233 octave_value_list |
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234 find_nonzero_elem_idx (const PermMatrix& v, int nargout, |
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235 octave_idx_type n_to_find, int direction) |
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236 { |
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237 // There are far fewer special cases to handle for a PermMatrix. |
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238 nargout = std::min (nargout, 5); |
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239 octave_value_list retval ((nargout == 0 ? 1 : nargout), Matrix ()); |
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240 |
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241 octave_idx_type nr = v.rows (); |
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242 octave_idx_type nc = v.cols (); |
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243 octave_idx_type start_nc, count; |
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244 |
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245 // Determine the range to search. |
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246 if (n_to_find < 0 || n_to_find >= nc) |
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247 { |
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248 start_nc = 0; |
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249 count = nc; |
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250 } |
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251 else if (direction > 0) |
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252 { |
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253 start_nc = 0; |
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254 count = n_to_find; |
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255 } |
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256 else |
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257 { |
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258 start_nc = nc - n_to_find; |
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259 count = n_to_find; |
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260 } |
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261 |
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262 Matrix idx (count, 1); |
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263 Matrix i_idx (count, 1); |
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264 Matrix j_idx (count, 1); |
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265 // Every value is 1. |
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266 Array<double> val (dim_vector (count, 1), 1.0); |
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267 |
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268 if (count > 0) |
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269 { |
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270 const Array<octave_idx_type>& p = v.col_perm_vec (); |
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271 for (octave_idx_type k = 0; k < count; k++) |
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272 { |
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273 octave_quit (); |
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274 |
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275 const octave_idx_type j = start_nc + k; |
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276 const octave_idx_type i = p(j); |
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277 i_idx(k) = static_cast<double> (1+i); |
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278 j_idx(k) = static_cast<double> (1+j); |
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279 idx(k) = j * nc + i + 1; |
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280 } |
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281 } |
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282 else |
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283 { |
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284 // FIXME: Is this case even possible? A scalar permutation matrix seems |
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285 // to devolve to a scalar full matrix, at least from the Octave command |
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286 // line. Perhaps this function could be called internally from C++ with |
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287 // such a matrix. |
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288 // No items found. Fixup return dimensions for Matlab compatibility. |
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289 // The behavior to match is documented in Array.cc (Array<T>::find). |
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290 if ((nr == 0 && nc == 0) || (nr == 1 && nc == 1)) |
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291 { |
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292 idx.resize (0, 0); |
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293 |
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294 i_idx.resize (0, 0); |
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295 j_idx.resize (0, 0); |
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296 |
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297 val.resize (dim_vector (0, 0)); |
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298 } |
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299 } |
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300 |
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301 switch (nargout) |
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302 { |
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303 case 0: |
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304 case 1: |
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305 retval(0) = idx; |
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306 break; |
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307 |
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308 case 5: |
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309 retval(4) = nc; |
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310 OCTAVE_FALLTHROUGH; |
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311 |
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312 case 4: |
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313 retval(3) = nc; |
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314 OCTAVE_FALLTHROUGH; |
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315 |
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316 case 3: |
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317 retval(2) = val; |
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318 OCTAVE_FALLTHROUGH; |
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319 |
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320 case 2: |
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321 retval(1) = j_idx; |
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322 retval(0) = i_idx; |
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323 } |
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324 |
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325 return retval; |
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326 } |
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327 |
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328 DEFUN (find, args, nargout, |
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329 doc: /* -*- texinfo -*- |
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330 @deftypefn {} {@var{idx} =} find (@var{x}) |
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331 @deftypefnx {} {@var{idx} =} find (@var{x}, @var{n}) |
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332 @deftypefnx {} {@var{idx} =} find (@var{x}, @var{n}, @var{direction}) |
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333 @deftypefnx {} {[i, j] =} find (@dots{}) |
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334 @deftypefnx {} {[i, j, v] =} find (@dots{}) |
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335 Return a vector of indices of nonzero elements of a matrix, as a row if |
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336 @var{x} is a row vector or as a column otherwise. |
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337 |
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338 To obtain a single index for each matrix element, Octave pretends that the |
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339 columns of a matrix form one long vector (like Fortran arrays are stored). |
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340 For example: |
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341 |
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342 @example |
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343 @group |
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344 find (eye (2)) |
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345 @result{} [ 1; 4 ] |
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346 @end group |
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347 @end example |
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348 |
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349 If two inputs are given, @var{n} indicates the maximum number of elements to |
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350 find from the beginning of the matrix or vector. |
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351 |
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352 If three inputs are given, @var{direction} should be one of |
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353 @qcode{"first"} or @qcode{"last"}, requesting only the first or last |
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354 @var{n} indices, respectively. However, the indices are always returned in |
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355 ascending order. |
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356 |
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357 If two outputs are requested, @code{find} returns the row and column |
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358 indices of nonzero elements of a matrix. For example: |
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359 |
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360 @example |
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361 @group |
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362 [i, j] = find (2 * eye (2)) |
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363 @result{} i = [ 1; 2 ] |
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364 @result{} j = [ 1; 2 ] |
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365 @end group |
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366 @end example |
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367 |
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368 If three outputs are requested, @code{find} also returns a vector |
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369 containing the nonzero values. For example: |
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370 |
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371 @example |
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372 @group |
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373 [i, j, v] = find (3 * eye (2)) |
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374 @result{} i = [ 1; 2 ] |
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375 @result{} j = [ 1; 2 ] |
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376 @result{} v = [ 3; 3 ] |
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377 @end group |
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378 @end example |
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379 |
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380 Note that this function is particularly useful for sparse matrices, as |
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381 it extracts the nonzero elements as vectors, which can then be used to |
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382 create the original matrix. For example: |
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383 |
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384 @example |
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385 @group |
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386 sz = size (a); |
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387 [i, j, v] = find (a); |
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388 b = sparse (i, j, v, sz(1), sz(2)); |
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389 @end group |
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390 @end example |
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391 @seealso{nonzeros} |
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392 @end deftypefn */) |
2928 | 393 { |
394 int nargin = args.length (); | |
395 | |
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396 if (nargin < 1 || nargin > 3) |
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397 print_usage (); |
2928 | 398 |
6002 | 399 // Setup the default options. |
400 octave_idx_type n_to_find = -1; | |
401 if (nargin > 1) | |
402 { | |
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403 double val = args(1).xscalar_value ("find: N must be an integer"); |
9310 | 404 |
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405 if (val < 0 || (! math::isinf (val) |
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406 && val != math::fix (val))) |
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407 error ("find: N must be a non-negative integer"); |
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408 else if (! math::isinf (val)) |
9310 | 409 n_to_find = val; |
6002 | 410 } |
411 | |
412 // Direction to do the searching (1 == forward, -1 == reverse). | |
413 int direction = 1; | |
414 if (nargin > 2) | |
415 { | |
416 std::string s_arg = args(2).string_value (); | |
417 | |
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418 if (s_arg == "first") |
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419 direction = 1; |
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420 else if (s_arg == "last") |
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421 direction = -1; |
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422 else |
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423 error (R"(find: DIRECTION must be "first" or "last")"); |
6002 | 424 } |
425 | |
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426 octave_value_list retval; |
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427 |
2928 | 428 octave_value arg = args(0); |
429 | |
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430 if (arg.islogical ()) |
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431 { |
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432 if (arg.issparse ()) |
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433 { |
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434 SparseBoolMatrix v = arg.sparse_bool_matrix_value (); |
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435 |
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436 retval = find_nonzero_elem_idx (v, nargout, n_to_find, direction); |
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437 } |
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438 else if (nargout <= 1 && n_to_find == -1 && direction == 1) |
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439 { |
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440 // This case is equivalent to extracting indices from a logical |
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441 // matrix. Try to reuse the possibly cached index vector. |
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442 |
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443 // No need to catch index_exception, since arg is bool. |
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444 // Out-of-range errors have already set pos, and will be |
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445 // caught later. |
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446 |
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447 octave_value result = arg.index_vector ().unmask (); |
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448 |
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449 dim_vector dv = result.dims (); |
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450 |
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451 retval(0) = (dv.all_zero () || dv.isvector () |
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452 ? result : result.reshape (dv.as_column ())); |
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453 } |
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454 else |
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455 { |
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456 boolNDArray v = arg.bool_array_value (); |
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457 |
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458 retval = find_nonzero_elem_idx (v, nargout, n_to_find, direction); |
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459 } |
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460 } |
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461 else if (arg.isinteger ()) |
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462 { |
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463 #define DO_INT_BRANCH(INTT) \ |
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464 else if (arg.is_ ## INTT ## _type ()) \ |
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465 { \ |
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466 INTT ## NDArray v = arg.INTT ## _array_value (); \ |
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467 \ |
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468 retval = find_nonzero_elem_idx (v, nargout, n_to_find, direction); \ |
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469 } |
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470 |
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471 if (false) |
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472 ; |
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473 DO_INT_BRANCH (int8) |
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474 DO_INT_BRANCH (int16) |
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475 DO_INT_BRANCH (int32) |
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476 DO_INT_BRANCH (int64) |
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477 DO_INT_BRANCH (uint8) |
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478 DO_INT_BRANCH (uint16) |
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479 DO_INT_BRANCH (uint32) |
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480 DO_INT_BRANCH (uint64) |
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481 else |
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482 panic_impossible (); |
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483 } |
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484 else if (arg.issparse ()) |
2928 | 485 { |
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486 if (arg.isreal ()) |
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487 { |
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488 SparseMatrix v = arg.sparse_matrix_value (); |
2928 | 489 |
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490 retval = find_nonzero_elem_idx (v, nargout, n_to_find, direction); |
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491 } |
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492 else if (arg.iscomplex ()) |
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493 { |
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494 SparseComplexMatrix v = arg.sparse_complex_matrix_value (); |
5107 | 495 |
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496 retval = find_nonzero_elem_idx (v, nargout, n_to_find, direction); |
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497 } |
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498 else |
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499 err_wrong_type_arg ("find", arg); |
5107 | 500 } |
10550 | 501 else if (arg.is_perm_matrix ()) |
502 { | |
503 PermMatrix P = arg.perm_matrix_value (); | |
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504 |
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505 retval = find_nonzero_elem_idx (P, nargout, n_to_find, direction); |
10550 | 506 } |
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507 else if (arg.is_string ()) |
2928 | 508 { |
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509 charNDArray chnda = arg.char_array_value (); |
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510 |
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511 retval = find_nonzero_elem_idx (chnda, nargout, n_to_find, direction); |
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512 } |
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513 else if (arg.is_single_type ()) |
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514 { |
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515 if (arg.isreal ()) |
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516 { |
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517 FloatNDArray nda = arg.float_array_value (); |
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518 |
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519 retval = find_nonzero_elem_idx (nda, nargout, n_to_find, direction); |
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520 } |
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521 else if (arg.iscomplex ()) |
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522 { |
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523 FloatComplexNDArray cnda = arg.float_complex_array_value (); |
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524 |
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525 retval = find_nonzero_elem_idx (cnda, nargout, n_to_find, direction); |
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526 } |
2928 | 527 } |
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528 else if (arg.isreal ()) |
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529 { |
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530 NDArray nda = arg.array_value (); |
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531 |
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532 retval = find_nonzero_elem_idx (nda, nargout, n_to_find, direction); |
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533 } |
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534 else if (arg.iscomplex ()) |
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535 { |
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536 ComplexNDArray cnda = arg.complex_array_value (); |
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537 |
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538 retval = find_nonzero_elem_idx (cnda, nargout, n_to_find, direction); |
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539 } |
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540 else |
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541 err_wrong_type_arg ("find", arg); |
2928 | 542 |
543 return retval; | |
544 } | |
545 | |
546 /* | |
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547 %!assert (find (char ([0, 97])), 2) |
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548 %!assert (find ([1, 0, 1, 0, 1]), [1, 3, 5]) |
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549 %!assert (find ([1; 0; 3; 0; 1]), [1; 3; 5]) |
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550 %!assert (find ([0, 0, 2; 0, 3, 0; -1, 0, 0]), [3; 5; 7]) |
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551 |
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552 %!assert <*53603> (find (ones (1,1,2) > 0), [1;2]) |
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553 %!assert <*53603> (find (ones (1,1,1,3) > 0), [1;2;3]) |
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554 |
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555 %!test |
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556 %! [i, j, v] = find ([0, 0, 2; 0, 3, 0; -1, 0, 0]); |
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557 %! |
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558 %! assert (i, [3; 2; 1]); |
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559 %! assert (j, [1; 2; 3]); |
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560 %! assert (v, [-1; 3; 2]); |
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561 |
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562 %!assert (find (single ([1, 0, 1, 0, 1])), [1, 3, 5]) |
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563 %!assert (find (single ([1; 0; 3; 0; 1])), [1; 3; 5]) |
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564 %!assert (find (single ([0, 0, 2; 0, 3, 0; -1, 0, 0])), [3; 5; 7]) |
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565 |
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566 %!test |
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567 %! [i, j, v] = find (single ([0, 0, 2; 0, 3, 0; -1, 0, 0])); |
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568 %! |
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569 %! assert (i, [3; 2; 1]); |
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570 %! assert (j, [1; 2; 3]); |
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571 %! assert (v, single ([-1; 3; 2])); |
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572 |
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573 %!test |
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574 %! pcol = [5 1 4 3 2]; |
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575 %! P = eye (5) (:, pcol); |
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576 %! [i, j, v] = find (P); |
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577 %! [ifull, jfull, vfull] = find (full (P)); |
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578 %! assert (i, ifull); |
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579 %! assert (j, jfull); |
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580 %! assert (all (v == 1)); |
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581 |
6d3fcbf89267
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582 %!test |
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583 %! prow = [5 1 4 3 2]; |
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584 %! P = eye (5) (prow, :); |
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585 %! [i, j, v] = find (P); |
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586 %! [ifull, jfull, vfull] = find (full (P)); |
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587 %! assert (i, ifull); |
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588 %! assert (j, jfull); |
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589 %! assert (all (v == 1)); |
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590 |
25263
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|
591 %!assert <*53655> (find (false), zeros (0, 0)) |
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592 %!assert <*53655> (find ([false, false]), zeros (1, 0)) |
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593 %!assert <*53655> (find ([false; false]), zeros (0, 1)) |
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594 %!assert <*53655> (find ([false, false; false, false]), zeros (0, 1)) |
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|
595 |
9310 | 596 %!assert (find ([2 0 1 0 5 0], 1), 1) |
597 %!assert (find ([2 0 1 0 5 0], 2, "last"), [3, 5]) | |
598 | |
599 %!assert (find ([2 0 1 0 5 0], Inf), [1, 3, 5]) | |
600 %!assert (find ([2 0 1 0 5 0], Inf, "last"), [1, 3, 5]) | |
601 | |
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|
602 %!error find () |
2928 | 603 */ |
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604 |
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605 OCTAVE_NAMESPACE_END |