annotate scripts/strings/dec2base.m @ 31242:96ad887ae4f8 stable

dec2bin.m and dec2hex.m: graft bugfixes from dd6b37f67db2 to stable (bug #63089) Fix behavior of dec2bin and dec2hex for negative integer-type inputs
author Arun Giridhar <arungiridhar@gmail.com>
date Wed, 28 Sep 2022 17:00:43 -0400
parents 796f54d4ddbf
children 5d3faba0342e
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 2000-2022 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 ## -*- texinfo -*-
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27 ## @deftypefn {} {} dec2base (@var{d}, @var{base})
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28 ## @deftypefnx {} {} dec2base (@var{d}, @var{base}, @var{len})
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29 ## Return a string of symbols in base @var{base} corresponding to the
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30 ## non-negative integer @var{d}.
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31 ##
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32 ## @example
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33 ## @group
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34 ## dec2base (123, 3)
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35 ## @result{} "11120"
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36 ## @end group
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37 ## @end example
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38 ##
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39 ## If @var{d} is a matrix or cell array, return a string matrix with one row
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40 ## per element in @var{d}, padded with leading zeros to the width of the
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41 ## largest value.
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42 ##
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43 ## If @var{base} is a string then the characters of @var{base} are used as
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44 ## the symbols for the digits of @var{d}. Whitespace (spaces, tabs, newlines,
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45 ##, etc.@:) may not be used as a symbol.
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46 ##
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47 ## @example
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48 ## @group
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49 ## dec2base (123, "aei")
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50 ## @result{} "eeeia"
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51 ## @end group
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52 ## @end example
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53 ##
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54 ## The optional third argument, @var{len}, specifies the minimum number of
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55 ## digits in the result.
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56 ## @seealso{base2dec, dec2bin, dec2hex}
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57 ## @end deftypefn
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58
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59 function retval = dec2base (d, base, len)
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60
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61 if (nargin < 2)
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62 print_usage ();
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63 endif
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64
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65 if (iscell (d))
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66 d = cell2mat (d);
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67 endif
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68
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69 ## Create column vector for algorithm
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70 d = d(:);
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71
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72 ## Treat logical as numeric for compatibility with ML
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73 if (islogical (d))
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74 d = double (d);
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75 elseif (! isnumeric (d) || iscomplex (d) || any (d < 0 | d != fix (d)))
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76 error ("dec2base: input must be real non-negative integers");
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77 endif
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78
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79 symbols = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ";
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80 if (ischar (base))
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81 symbols = base(:).'; # force a row vector
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82 base = numel (symbols);
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83 if (numel (unique (symbols)) != base)
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84 error ("dec2base: symbols representing digits must be unique");
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85 elseif (any (isspace (symbols)))
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86 error ("dec2base: whitespace characters are not valid symbols");
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87 endif
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88 elseif (! isscalar (base) || ! isreal (base) || fix (base) != base
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89 || base < 2 || base > 36)
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90 error ("dec2base: BASE must be an integer between 2 and 36, or a string of symbols");
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91 endif
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92
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93 ## determine number of digits required to handle all numbers, can overflow
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94 ## by 1 digit
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95 max_len = round (log (max (max (d), 1)) / log (base)) + 1;
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96
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97 if (nargin == 3)
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98 if (! (isscalar (len) && isreal (len) && len >= 0 && len == fix (len)))
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99 error ("dec2base: LEN must be a non-negative integer");
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100 endif
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101 max_len = max (max_len, len);
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102 endif
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103
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104 ## determine digits for each number
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105 digits = zeros (length (d), max_len);
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106 for k = max_len:-1:1
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107 digits(:,k) = mod (d, base);
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108 d = round ((d - digits(:,k)) / base);
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109 endfor
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110
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111 ## convert digits to symbols
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112 retval = reshape (symbols(digits+1), size (digits));
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113
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114 ## Check if the first element is the zero symbol. It seems possible
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115 ## that LEN is provided, and is less than the computed MAX_LEN and
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116 ## MAX_LEN is computed to be one larger than necessary, so we would
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117 ## have a leading zero to remove. But if LEN >= MAX_LEN, we should
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118 ## not remove any leading zeros.
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119 if ((nargin == 2 || (nargin == 3 && max_len > len))
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120 && columns (retval) != 1 && ! any (retval(:,1) != symbols(1)))
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121 retval = retval(:,2:end);
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122 endif
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123
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124 endfunction
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125
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126
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127 %!test
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128 %! s0 = "";
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129 %! for n = 1:13
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130 %! for b = 2:16
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131 %! pp = dec2base (b^n+1, b);
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132 %! assert (dec2base (b^n, b), ['1',s0,'0']);
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133 %! assert (dec2base (b^n+1, b), ['1',s0,'1']);
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134 %! endfor
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135 %! s0 = [s0,'0'];
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136 %! endfor
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137
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138 %!test
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139 %! digits = "0123456789ABCDEF";
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140 %! for n = 1:13
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141 %! for b = 2:16
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142 %! pm = dec2base (b^n-1, b);
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143 %! assert (length (pm), n);
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144 %! assert (all (pm == digits(b)));
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145 %! endfor
1f075333d9e8 dec2base.m: Code tweaks for slightly better performance.
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146 %! endfor
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147
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148 %!test
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149 %! for b = 2:16
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150 %! assert (dec2base (0, b), '0');
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151 %! endfor
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152
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153 %!assert (dec2base (0, 2, 4), "0000")
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154 %!assert (dec2base (2^51-1, 2), ...
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155 %! "111111111111111111111111111111111111111111111111111")
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156 %!assert (dec2base (uint64 (2)^63-1, 16), "7FFFFFFFFFFFFFFF")
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157 %!assert (dec2base ([1, 2; 3, 4], 2, 3), ["001"; "011"; "010"; "100"])
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158 %!assert (dec2base ({1, 2; 3, 4}, 2, 3), ["001"; "011"; "010"; "100"])
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159
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parents: 14868
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160 %!test
3542e106c496 dec2base.m: treat logical as double for compatibility with ML (bug #38815).
Pantxo Diribarne <pantxo.diribarne@gmail.com>
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161 %! a = 0:3;
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162 %! assert (dec2base (! a, 2, 1), ["1"; "0"; "0"; "0"]);
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parents: 14868
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163
26986
16d4e3d14213 dec2base.m: Correctly handle zero matrix input (bug #56005).
Rik <rik@octave.org>
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164 %!assert <*56005> (dec2base ([0, 0], 16), ["0"; "0"])
16d4e3d14213 dec2base.m: Correctly handle zero matrix input (bug #56005).
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165
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166 ## Test input validation
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167 %!error <Invalid call> dec2base ()
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168 %!error <Invalid call> dec2base (1)
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169 %!error <input must be real non-negative integers> dec2base ("A", 10)
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170 %!error <input must be real non-negative integers> dec2base (2i, 10)
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171 %!error <input must be real non-negative integers> dec2base (-1, 10)
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172 %!error <input must be real non-negative integers> dec2base (1.1, 10)
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Rik <rik@octave.org>
parents: 28886
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173 %!error <symbols representing digits must be unique> dec2base (1, "ABA")
ec33b1617cd5 dec2base.m: Overhaul input validation.
Rik <rik@octave.org>
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174 %!error <whitespace characters are not valid symbols> dec2base (1, "A B")
ec33b1617cd5 dec2base.m: Overhaul input validation.
Rik <rik@octave.org>
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175 %!error <BASE must be an integer> dec2base (1, ones (2))
ec33b1617cd5 dec2base.m: Overhaul input validation.
Rik <rik@octave.org>
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176 %!error <BASE must be an integer> dec2base (1, 2i)
ec33b1617cd5 dec2base.m: Overhaul input validation.
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177 %!error <BASE must be an integer> dec2base (1, 2.5)
ec33b1617cd5 dec2base.m: Overhaul input validation.
Rik <rik@octave.org>
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178 %!error <BASE must be .* between 2 and 36> dec2base (1, 1)
ec33b1617cd5 dec2base.m: Overhaul input validation.
Rik <rik@octave.org>
parents: 28886
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179 %!error <BASE must be .* between 2 and 36> dec2base (1, 37)
30383
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Rik <rik@octave.org>
parents: 29359
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180 %!error <LEN must be a non-negative integer> dec2base (1, 2, ones (2))
29198
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Rik <rik@octave.org>
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181 %!error <LEN must be a non-negative integer> dec2base (1, 2, 2i)
ec33b1617cd5 dec2base.m: Overhaul input validation.
Rik <rik@octave.org>
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182 %!error <LEN must be a non-negative integer> dec2base (1, 2, -1)
ec33b1617cd5 dec2base.m: Overhaul input validation.
Rik <rik@octave.org>
parents: 28886
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183 %!error <LEN must be a non-negative integer> dec2base (1, 2, 2.5)