annotate scripts/strings/dec2bin.m @ 29359:7854d5752dd2

maint: merge stable to default.
author John W. Eaton <jwe@octave.org>
date Wed, 10 Feb 2021 10:10:40 -0500
parents 1a3cb2e1644a 0a5b15007766
children 796f54d4ddbf
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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 ########################################################################
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25
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26 ## -*- texinfo -*-
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27 ## @deftypefn {} {} dec2bin (@var{d})
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28 ## @deftypefnx {} {} 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 negative, return the two's complement binary value of @var{d}.
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33 ## If @var{d} is a matrix or cell array, return a string matrix with one row
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34 ## for each element in @var{d}, padded with leading zeros to the width of the
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35 ## largest value.
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36 ##
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37 ## The optional second argument, @var{len}, specifies the minimum number of
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38 ## digits in the result.
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39 ##
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40 ## Examples:
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41 ##
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42 ## @example
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43 ## @group
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44 ## dec2bin (14)
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45 ## @result{} "1110"
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46 ##
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47 ## dec2bin (-14)
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48 ## @result{} "11110010"
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49 ## @end group
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50 ## @end example
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51 ##
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52 ## Programming Notes: The largest negative value that can be converted into
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53 ## two's complement is @code{- (flintmax () / 2)}.
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54 ##
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55 ## Known @sc{matlab} Incompatibility: @sc{matlab}'s @code{dec2bin} allows
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56 ## non-integer values for @var{d}, truncating the value using the equivalent
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57 ## of @code{fix (@var{d})} for positive values, but, as of R2020b and in
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58 ## conflict with published documentation, appears to use
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59 ## @code{round (@var{d})} for negative values. To be consistent with
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60 ## @code{dec2hex} and @code{dec2base}, Octave produces an error for non-integer
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61 ## valued inputs for @var{d}. Users wanting compatible code for non-integer
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62 ## valued inputs should make use of @code{fix} or @code{round} as appropriate.
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63 ## @seealso{bin2dec, dec2base, dec2hex}
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64 ## @end deftypefn
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65
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66 function b = dec2bin (d, len)
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67
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68 if (nargin == 0)
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69 print_usage ();
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70 endif
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71
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72 if (iscell (d))
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73 d = cell2mat (d);
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74 endif
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75 ## Create column vector for algorithm (output is always col. vector anyways)
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76 d = d(:);
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77
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78 lt_zero_idx = (d < 0);
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79 if (any (lt_zero_idx))
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80 ## FIXME: Need an algorithm that works with larger values such as int64.
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81 if (any (d(lt_zero_idx) < -2^52))
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82 error ("dec2bin: negative inputs cannot be less than -flintmax () / 2");
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83 elseif (any (d(lt_zero_idx) < intmin ("int32")))
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84 d(lt_zero_idx) += flintmax ();
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85 elseif (any (d < intmin ("int16")))
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86 d(lt_zero_idx) += double (intmax ("uint32")) + 1;
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87 elseif (any (d < intmin ("int8")))
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88 d(lt_zero_idx) += double (intmax ("uint16"))+ 1;
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89 else
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90 d(lt_zero_idx) += double (intmax ("uint8")) + 1;
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91 endif
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92 endif
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93
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94 if (nargin == 1)
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95 b = dec2base (d, 2);
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96 else
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97 b = dec2base (d, 2, len);
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98 endif
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99
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100 endfunction
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101
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102
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103 %!assert (dec2bin (3), "11")
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104 %!assert (dec2bin (14), "1110")
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105 %!assert (dec2bin (14, 6), "001110")
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106 %!assert (dec2bin ([1, 2; 3, 4]), ["001"; "011"; "010"; "100"])
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107 %!assert (dec2bin ({1, 2; 3, 4}), ["001"; "011"; "010"; "100"])
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108 %!assert (dec2bin ({1, 2; 3, 4}, 4), ["0001"; "0011"; "0010"; "0100"])
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109
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110 ## Test negative inputs
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111 %!assert (dec2bin (-3), "11111101")
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112 %!assert (dec2bin (-3, 3), "11111101")
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113 %!assert (dec2bin (-3, 9), "011111101")
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114 %!assert (dec2bin (-2^7 -1), "1111111101111111")
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115 %!assert (dec2bin (-2^15 -1), "11111111111111110111111111111111")
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116 ## FIXME: Matlab generates a string that is 64 characters long
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117 %!assert (dec2bin (-2^31 -1),
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118 %! "11111111111111111111101111111111111111111111111111111")
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119 %!assert (dec2bin (-2^52),
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120 %! "10000000000000000000000000000000000000000000000000000")
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121 ## FIXME: Uncomment when support for int64 is added
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122 %!#assert (dec2bin (-2^63),
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123 %! "1000000000000000000000000000000000000000000000000000000000000000")
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124 %!#test
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125 %! assert (dec2bin (int64 (-2^63)),
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126 %! "1000000000000000000000000000000000000000000000000000000000000000");
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127 %!#test
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128 %! assert (dec2bin (int64 (-2^63) -1),
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129 %! "1000000000000000000000000000000000000000000000000000000000000000");
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130 %!#test
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131 %! assert (dec2bin (int64 (-2^63) +1),
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132 %! "1000000000000000000000000000000000000000000000000000000000000001");
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133 %!assert (dec2bin ([-1, -2; -3, -4]),
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134 %! ["11111111"; "11111101"; "11111110"; "11111100"])
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135 %!assert (dec2bin ([1, 2; 3, -4]),
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136 %! ["00000001"; "00000011"; "00000010"; "11111100"])
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137 %!assert (dec2bin ({1, 2; 3, -4}),
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138 %! ["00000001"; "00000011"; "00000010"; "11111100"])
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83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
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139
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140 ## Test input validation
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141 %!error <Invalid call> dec2bin ()
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142 %!error <negative inputs cannot be less than> dec2bin (- flintmax ())