annotate scripts/strings/dec2bin.m @ 31239:dd6b37f67db2

Accept negative inputs to -2^63 for dec2bin and dec2hex (bug #63089) dec2bin.m: Accept negative inputs lower than -flintmax down to -2^63 Return 64-bit string in certain cases for Matlab compatibility Activate BISTs commented out earlier dec2hex.m: Remove repeated code and call dec2bin instead Accept negative inputs lower than -flintmax down to -2^63 Update and activate BISTs commented out earlier
author Arun Giridhar <arungiridhar@gmail.com>
date Sun, 25 Sep 2022 06:22:25 -0400
parents 5d3faba0342e
children 7018819318d1
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 1996-2022 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 {} {@var{bstr} =} dec2bin (@var{d})
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28 ## @deftypefnx {} {@var{bstr} =} dec2bin (@var{d}, @var{len})
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29 ## Return a string of ones and zeros representing the conversion of the integer
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30 ## @var{d} to a binary number.
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31 ##
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32 ## If @var{d} is a matrix or cell array, return a string matrix with one row
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33 ## for each element in @var{d}, padded with leading zeros to the width of the
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34 ## largest value.
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35 ##
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36 ## The optional second argument, @var{len}, specifies the minimum number of
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37 ## digits in the result.
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38 ##
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39 ## For negative elements of @var{d}, return the binary value of the two's
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40 ## complement. The result is padded with leading ones to 8, 16, 32, or 64
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41 ## bits as appropriate for the magnitude of the input. Positive input
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42 ## elements are padded with leading zeros to the same width. If the second
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43 ## argument @var{len} exceeds that calculated width, the result is further
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44 ## padded with leading zeros, for compatibility with @sc{matlab}.
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45 ##
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46 ## Examples:
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47 ##
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48 ## @example
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49 ## @group
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50 ## dec2bin (14)
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51 ## @result{} "1110"
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52 ##
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53 ## dec2bin (-14)
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54 ## @result{} "11110010"
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55 ## @end group
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56 ## @end example
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57 ##
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58 ## Known @sc{matlab} Incompatibility: @sc{matlab}'s @code{dec2bin} allows
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59 ## non-integer values for @var{d}, truncating the value using the equivalent
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60 ## of @code{fix (@var{d})} for positive values, but, as of R2020b and in
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61 ## conflict with published documentation, appears to use
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62 ## @code{round (@var{d})} for negative values. To be consistent with
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63 ## @code{dec2hex} and @code{dec2base}, Octave produces an error for non-integer
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64 ## valued inputs for @var{d}. Users wanting compatible code for non-integer
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65 ## valued inputs should make use of @code{fix} or @code{round} as appropriate.
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66 ## @seealso{bin2dec, dec2base, dec2hex}
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67 ## @end deftypefn
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68
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69 function bstr = dec2bin (d, len)
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70
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71 if (nargin == 0)
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72 print_usage ();
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73 endif
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74
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75 if (iscell (d))
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76 d = cell2mat (d);
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77 endif
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78 ## Create column vector for algorithm (output is always col. vector anyways)
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79 d = d(:);
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80
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81 neg = (d < 0); # keep track of which elements are negative
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82 if (any (neg)) # must be a signed type
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83 ## Cast to a suitable signed integer type, then to unsigned.
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84 ## Ensure that the left-most bit of the unsigned number is 1,
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85 ## to signify negative input.
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86 tmp = int64 (d);
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87 if (all (tmp >= -128 & tmp <= 127))
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88 d = int8 (d);
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89 d(neg) = (d(neg) + intmax (d)) + 1;
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90 d = uint8 (d);
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91 d(neg) += uint8 (128);
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92 elseif (all (tmp >= -32768 & tmp <= 32767))
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93 d = int16 (d);
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94 d(neg) = (d(neg) + intmax (d)) + 1;
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95 d = uint16 (d);
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96 d(neg) += uint16 (32768);
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97 elseif (all (tmp >= -2147483648 & tmp <= 2147483647))
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98 d = int32 (d);
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99 d(neg) = (d(neg) + intmax (d)) + 1;
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100 d = uint32 (d);
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101 d(neg) += uint32 (2147483648);
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102 else
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103 d = int64 (d);
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104 d(neg) = (d(neg) + intmax (d)) + 1;
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105 d = uint64 (d);
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106 d(neg) += uint64 (9223372036854775808);
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107 endif
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108 endif
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109
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110 if (nargin == 1)
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111 bstr = dec2base (d, 2);
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112 else
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113 bstr = dec2base (d, 2, len);
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114 endif
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115
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116 endfunction
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117
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118
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119 %!assert (dec2bin (3), "11")
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120 %!assert (dec2bin (14), "1110")
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parents: 14138
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121 %!assert (dec2bin (14, 6), "001110")
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Nicholas R. Jankowski <jankowskin@asme.org>
parents: 27985
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122 %!assert (dec2bin ([1, 2; 3, 4]), ["001"; "011"; "010"; "100"])
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123 %!assert (dec2bin ({1, 2; 3, 4}), ["001"; "011"; "010"; "100"])
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parents: 27985
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124 %!assert (dec2bin ({1, 2; 3, 4}, 4), ["0001"; "0011"; "0010"; "0100"])
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parents: 27985
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125
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parents: 27985
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126 ## Test negative inputs
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parents: 27985
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127 %!assert (dec2bin (-3), "11111101")
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parents: 27985
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128 %!assert (dec2bin (-3, 3), "11111101")
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parents: 27985
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129 %!assert (dec2bin (-3, 9), "011111101")
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Arun Giridhar <arungiridhar@gmail.com>
parents: 30875
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130 %!assert (dec2bin (-2^7 - 1), "1111111101111111")
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parents: 30875
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131 %!assert (dec2bin (-2^15 - 1), "11111111111111110111111111111111")
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parents: 30875
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132 %!assert (dec2bin (-2^31 - 1),
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parents: 30875
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133 %! "1111111111111111111111111111111101111111111111111111111111111111")
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Rik <rik@octave.org>
parents: 28237
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134 %!assert (dec2bin (-2^52),
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parents: 30875
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135 %! "1111111111110000000000000000000000000000000000000000000000000000")
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parents: 30875
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136 %!assert (dec2bin (-2^63),
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parents: 28236
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137 %! "1000000000000000000000000000000000000000000000000000000000000000")
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Arun Giridhar <arungiridhar@gmail.com>
parents: 30875
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138 %!assert (dec2bin (int64 (-2) ^ 63),
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Arun Giridhar <arungiridhar@gmail.com>
parents: 30875
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139 %! "1000000000000000000000000000000000000000000000000000000000000000")
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Arun Giridhar <arungiridhar@gmail.com>
parents: 30875
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140 %!assert (dec2bin (int64 (-2) ^ 63 - 1),
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Arun Giridhar <arungiridhar@gmail.com>
parents: 30875
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141 %! "1000000000000000000000000000000000000000000000000000000000000000")
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Arun Giridhar <arungiridhar@gmail.com>
parents: 30875
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142 %!assert (dec2bin (int64 (-2) ^ 63 + 1),
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Arun Giridhar <arungiridhar@gmail.com>
parents: 30875
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143 %! "1000000000000000000000000000000000000000000000000000000000000001")
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Rik <rik@octave.org>
parents: 28236
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144 %!assert (dec2bin ([-1, -2; -3, -4]),
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parents: 28236
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145 %! ["11111111"; "11111101"; "11111110"; "11111100"])
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Rik <rik@octave.org>
parents: 28236
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146 %!assert (dec2bin ([1, 2; 3, -4]),
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parents: 28236
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147 %! ["00000001"; "00000011"; "00000010"; "11111100"])
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Rik <rik@octave.org>
parents: 28236
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148 %!assert (dec2bin ({1, 2; 3, -4}),
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parents: 28236
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149 %! ["00000001"; "00000011"; "00000010"; "11111100"])
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jwe
parents: 7017
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150
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Rik <rik@octave.org>
parents: 19697
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151 ## Test input validation
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Rik <rik@octave.org>
parents: 28789
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152 %!error <Invalid call> dec2bin ()
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153