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annotate libinterp/corefcn/sub2ind.cc @ 29958:32c3a5805893

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move DEFUN and DEFMETHOD functions inside octave namespace * mk-opts.pl: Surround emitted function definitions with OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags. * mk-builtins.pl: Surround emitted function declarations with OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags. Emit deprecated global inline functions. * __betainc__.cc, __contourc__.cc, __dsearchn__.cc, __eigs__.cc, __expint__.cc, __ftp__.cc, __gammainc__.cc, __ichol__.cc, __ilu__.cc, __lin_interpn__.cc, __magick_read__.cc, __pchip_deriv__.cc, __qp__.cc, amd.cc, balance.cc, besselj.cc, bitfcns.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, debug.cc, defaults.cc, defun.cc, det.cc, dirfns.cc, display.cc, dlmread.cc, dmperm.cc, dot.cc, eig.cc, ellipj.cc, environment.cc, error.cc, event-manager.cc, fcn-info.cc, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc, graphics.cc, gsvd.cc, hash.cc, help.cc, hess.cc, hex2num.cc, input.cc, interpreter.cc, inv.cc, jsondecode.cc, jsonencode.cc, kron.cc, load-path.cc, load-save.cc, lookup.cc, ls-oct-text.cc, lsode.cc, lu.cc, mappers.cc, matrix_type.cc, max.cc, mgorth.cc, nproc.cc, oct-hist.cc, ordqz.cc, ordschur.cc, pager.cc, pinv.cc, pr-flt-fmt.cc, pr-output.cc, psi.cc, qr.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.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, sylvester.cc, symbfact.cc, symrcm.cc, symtab.cc, syscalls.cc, sysdep.cc, time.cc, toplev.cc, tril.cc, tsearch.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-base.cc, ov-bool-mat.cc, ov-cell.cc, ov-class.cc, ov-classdef.cc, ov-fcn-handle.cc, ov-java.cc, ov-null-mat.cc, ov-oncleanup.cc, ov-struct.cc, ov-typeinfo.cc, ov-usr-fcn.cc, ov.cc, octave.cc, lex.ll, oct-parse.yy, profiler.cc, pt-eval.cc: Surround DEFUN and DEFMETHOD function defnitions with OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags.
author John W. Eaton <jwe@octave.org>
date Fri, 13 Aug 2021 21:53:51 -0400
parents a48151f59b69
children 7d6709900da7
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1 ////////////////////////////////////////////////////////////////////////
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2 //
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3 // Copyright (C) 2009-2021 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 ////////////////////////////////////////////////////////////////////////
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25
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26 #if defined (HAVE_CONFIG_H)
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27 # include "config.h"
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28 #endif
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29
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30 #include "Array-util.h"
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31 #include "oct-locbuf.h"
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32 #include "quit.h"
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33
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34 #include "defun.h"
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35 #include "error.h"
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36 #include "errwarn.h"
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37 #include "ovl.h"
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38
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39 OCTAVE_NAMESPACE_BEGIN
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40
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41 static dim_vector
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42 get_dim_vector (const octave_value& val, const char *name)
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43 {
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44 RowVector dimsv = val.row_vector_value (false, true);
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45 dim_vector dv;
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46 octave_idx_type n = dimsv.numel ();
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47
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48 if (n < 1)
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49 error ("%s: dimension vector DIMS must not be empty", name);
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50
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51 dv.resize (std::max (n, static_cast<octave_idx_type> (2)));
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52 dv(1) = 1;
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53 for (octave_idx_type i = 0; i < n; i++)
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54 {
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55 octave_idx_type ii = dimsv(i);
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56 if (ii == dimsv(i) && ii >= 0)
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57 dv(i) = ii;
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58 else
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59 error ("%s: dimension vector DIMS must contain integers", name);
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60 }
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61
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62 return dv;
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63 }
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64
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65 DEFUN (sub2ind, args, ,
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66 doc: /* -*- texinfo -*-
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67 @deftypefn {} {@var{ind} =} sub2ind (@var{dims}, @var{i}, @var{j})
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68 @deftypefnx {} {@var{ind} =} sub2ind (@var{dims}, @var{s1}, @var{s2}, @dots{}, @var{sN})
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69 Convert subscripts to linear indices.
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70
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71 The input @var{dims} is a dimension vector where each element is the size of
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72 the array in the respective dimension (@pxref{XREFsize,,@code{size}}). The
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73 remaining inputs are scalars or vectors of subscripts to be converted.
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74
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75 The output vector @var{ind} contains the converted linear indices.
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76
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77 Background: Array elements can be specified either by a linear index which
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78 starts at 1 and runs through the number of elements in the array, or they may
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79 be specified with subscripts for the row, column, page, etc. The functions
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80 @code{ind2sub} and @code{sub2ind} interconvert between the two forms.
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81
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82 The linear index traverses dimension 1 (rows), then dimension 2 (columns), then
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83 dimension 3 (pages), etc.@: until it has numbered all of the elements.
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84 Consider the following 3-by-3 matrices:
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85
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86 @example
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87 @group
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88 [(1,1), (1,2), (1,3)] [1, 4, 7]
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89 [(2,1), (2,2), (2,3)] ==> [2, 5, 8]
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90 [(3,1), (3,2), (3,3)] [3, 6, 9]
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91 @end group
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92 @end example
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93
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94 @noindent
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95 The left matrix contains the subscript tuples for each matrix element. The
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96 right matrix shows the linear indices for the same matrix.
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97
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98 The following example shows how to convert the two-dimensional indices
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99 @code{(2,1)} and @code{(2,3)} of a 3-by-3 matrix to linear indices with a
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100 single call to @code{sub2ind}.
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101
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102 @example
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103 @group
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104 s1 = [2, 2];
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105 s2 = [1, 3];
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106 ind = sub2ind ([3, 3], s1, s2)
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107 @result{} ind = 2 8
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108 @end group
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109 @end example
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110 @seealso{ind2sub, size}
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111 @end deftypefn */)
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112 {
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113 int nargin = args.length ();
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114
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115 if (nargin < 2)
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116 print_usage ();
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117
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118 dim_vector dv = get_dim_vector (args(0), "sub2ind");
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119
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120 Array<octave::idx_vector> idxa (dim_vector (nargin-1, 1));
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121
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122 for (int j = 0; j < nargin - 1; j++)
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123 {
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124 if (! args(j+1).isnumeric ())
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125 error ("sub2ind: subscripts must be numeric");
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126
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127 try
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128 {
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129 idxa(j) = args(j+1).index_vector ();
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130
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131 if (j > 0 && args(j+1).dims () != args(1).dims ())
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132 error ("sub2ind: all subscripts must be of the same size");
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133 }
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134 catch (octave::index_exception& ie)
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135 {
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136 ie.set_pos_if_unset (nargin-1, j+1);
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137 ie.set_var ();
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138 std::string msg = ie.message ();
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139 error_with_id (ie.err_id (), "%s", msg.c_str ());
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140 }
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141 }
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142
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143 return ovl (sub2ind (dv, idxa));
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144 }
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145
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146 /*
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147 ## Test evaluation
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148 %!test
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149 %! s1 = [ 1 1 1 1 ; 2 2 2 2 ];
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150 %! s2 = [ 1 1 2 2 ; 1 1 2 2 ];
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151 %! s3 = [ 1 2 1 2 ; 1 2 1 2 ];
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152 %! in = [ 1 101 11 111 ; 2 102 12 112 ];
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153 %! assert (sub2ind ([10 10 10], s1, s2, s3), in);
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154
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155 # Test low index
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156 %!assert (sub2ind ([10 10 10], 1, 1, 1), 1)
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157 %!error <index \(0,_,_\)> sub2ind ([10 10 10], 0, 1, 1)
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158 %!error <index \(_,0,_\)> sub2ind ([10 10 10], 1, 0, 1)
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159 %!error <index \(_,_,0\)> sub2ind ([10 10 10], 1, 1, 0)
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160
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161 # Test high index
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162 %!assert (sub2ind ([10 10 10], 10, 10, 10), 1000)
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163 %!error <index \(11,_,_\): out of bound 10> sub2ind ([10 10 10], 11, 10, 10)
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164 %!error <index \(_,11,_\): out of bound 10> sub2ind ([10 10 10], 10, 11, 10)
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165 %!error <index \(_,_,11\): out of bound 10> sub2ind ([10 10 10], 10, 10, 11)
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166
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167 # Test high index in the trailing dimensions
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168 %!assert (sub2ind ([10, 1], 2, 1, 1), 2)
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169 %!error <index \(_,2,_\): out of bound 1> sub2ind ([10, 1], 1, 2, 1)
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170 %!error <index \(_,_,2\): out of bound 1> sub2ind ([10, 1], 1, 1, 2)
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171 %!assert (sub2ind ([10 10], 2, 2, 1), 12)
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172 %!error <index \(_,_,2\): out of bound 1> sub2ind ([10 10], 2, 1, 2)
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173 %!error <index \(_,_,2\): out of bound 1> sub2ind ([10 10], 1, 2, 2)
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174
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175 # Test handling of empty arguments
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176 %!assert (sub2ind ([10 10], zeros (0,0), zeros (0,0)), zeros (0,0))
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177 %!assert (sub2ind ([10 10], zeros (2,0), zeros (2,0)), zeros (2,0))
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178 %!assert (sub2ind ([10 10], zeros (0,2), zeros (0,2)), zeros (0,2))
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179 %!error <all subscripts .* same size> sub2ind ([10 10 10], zeros (0,2), zeros (2,0))
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180
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181 # Test handling of arguments of different size
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182 %!error <all subscripts .* same size> sub2ind ([10 10], ones (1,2), ones (1,3))
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183 %!error <all subscripts .* same size> sub2ind ([10 10], ones (1,2), ones (2,1))
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184
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185 ## Test input validation
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186 %!error <dimension vector> sub2ind ([10 10.5], 1, 1)
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187 %!error <index \(1.5,_\)> sub2ind ([10 10], 1.5, 1)
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188 %!error <index \(_,1.5\)> sub2ind ([10 10], 1, 1.5)
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189 */
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190
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191 DEFUN (ind2sub, args, nargout,
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192 doc: /* -*- texinfo -*-
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193 @deftypefn {} {[@var{s1}, @var{s2}, @dots{}, @var{sN}] =} ind2sub (@var{dims}, @var{ind})
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194 Convert linear indices to subscripts.
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195
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196 The input @var{dims} is a dimension vector where each element is the size of
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197 the array in the respective dimension (@pxref{XREFsize,,@code{size}}). The
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198 second input @var{ind} contains linear indies to be converted.
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199
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200 The outputs @var{s1}, @dots{}, @var{sN} contain the converted subscripts.
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201
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202 Background: Array elements can be specified either by a linear index which
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203 starts at 1 and runs through the number of elements in the array, or they may
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204 be specified with subscripts for the row, column, page, etc. The functions
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205 @code{ind2sub} and @code{sub2ind} interconvert between the two forms.
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206
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207 The linear index traverses dimension 1 (rows), then dimension 2 (columns), then
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208 dimension 3 (pages), etc.@: until it has numbered all of the elements.
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209 Consider the following 3-by-3 matrices:
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210
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211 @example
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212 @group
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213 [1, 4, 7] [(1,1), (1,2), (1,3)]
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214 [2, 5, 8] ==> [(2,1), (2,2), (2,3)]
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215 [3, 6, 9] [(3,1), (3,2), (3,3)]
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216 @end group
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217 @end example
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218
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219 @noindent
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220 The left matrix contains the linear indices for each matrix element. The right
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221 matrix shows the subscript tuples for the same matrix.
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222
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223 The following example shows how to convert the two-dimensional indices
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224 @code{(2,1)} and @code{(2,3)} of a 3-by-3 matrix to linear indices with a
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225 single call to @code{sub2ind}.
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226
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227 The following example shows how to convert the linear indices @code{2} and
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228 @code{8} in a 3-by-3 matrix into subscripts.
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229
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230 @example
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231 @group
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232 ind = [2, 8];
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233 [r, c] = ind2sub ([3, 3], ind)
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234 @result{} r = 2 2
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235 @result{} c = 1 3
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236 @end group
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237 @end example
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238
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239 If the number of output subscripts exceeds the number of dimensions, the
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240 exceeded dimensions are set to @code{1}. On the other hand, if fewer
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241 subscripts than dimensions are provided, the exceeding dimensions are merged
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242 into the final requested dimension. For clarity, consider the following
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243 examples:
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244
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245 @example
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246 @group
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247 ind = [2, 8];
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248 dims = [3, 3];
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249 ## same as dims = [3, 3, 1]
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250 [r, c, s] = ind2sub (dims, ind)
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251 @result{} r = 2 2
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252 @result{} c = 1 3
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253 @result{} s = 1 1
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254 ## same as dims = [9]
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255 r = ind2sub (dims, ind)
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256 @result{} r = 2 8
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257 @end group
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258 @end example
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259 @seealso{sub2ind, size}
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260 @end deftypefn */)
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261 {
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262 if (args.length () != 2)
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263 print_usage ();
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264
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265 octave_value_list retval;
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266
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267 // Redimension to provided number of subscripts.
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268 dim_vector dv = get_dim_vector (args(0), "ind2sub").redim (nargout);
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269
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270 try
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271 {
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272 retval = Array<octave_value> (ind2sub (dv, args(1).index_vector ()));
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273 }
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274 catch (const octave::index_exception& ie)
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275 {
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276 error ("ind2sub: invalid index %s", ie.what ());
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277 }
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278
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279 return retval;
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280 }
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281
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282 /*
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283 ## Examples
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284 %!test
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285 %! [r, c] = ind2sub ([3, 3], [2, 8]);
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286 %! assert (r, [2, 2]);
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287 %! assert (c, [1, 3]);
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288
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289 %!test
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290 %! [r, c, s] = ind2sub ([3, 3], [2, 8]);
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291 %! assert (r, [2, 2]);
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292 %! assert (c, [1, 3]);
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293 %! assert (s, [1, 1]);
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294 %! [r, c, s] = ind2sub ([3, 3, 1], [2, 8]);
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295 %! assert (r, [2, 2]);
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296 %! assert (c, [1, 3]);
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297 %! assert (s, [1, 1]);
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298
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299 %!test
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300 %! r = ind2sub ([3, 3], [2, 8]);
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301 %! assert (r, [2, 8]);
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302 %! r = ind2sub (9, [2, 8]);
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303 %! assert (r, [2, 8]);
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304
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305 ## 3-dimensional test
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306 %!test
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307 %! [r, c, s] = ind2sub ([2, 2, 2], 1:8);
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308 %! assert (r, [1, 2, 1, 2, 1, 2, 1, 2]);
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309 %! assert (c, [1, 1, 2, 2, 1, 1, 2, 2]);
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310 %! assert (s, [1, 1, 1, 1, 2, 2, 2, 2]);
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311 %! [r, c] = ind2sub ([2, 2, 2], 1:8);
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312 %! assert (r, [1, 2, 1, 2, 1, 2, 1, 2]);
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313 %! assert (c, [1, 1, 2, 2, 3, 3, 4, 4]);
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314 %! r = ind2sub ([2, 2, 2], 1:8);
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315 %! assert (r, 1:8);
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316
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317 %!error <DIMS must contain integers> ind2sub ([2, -2], 3)
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318 %!error <index out of range> ind2sub ([2, 2, 2], 1:9)
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319 %!error <invalid index> ind2sub ([2, 2, 2], -1:8)
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320 */
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321
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322 OCTAVE_NAMESPACE_END