Mercurial > octave
annotate scripts/strings/dec2bin.m @ 29197:1a3cb2e1644a
dec2bin.m: Add docstring note about fractional input incompatibility (bug #59719).
* dec2bin.m: Add Known Matlab Incompatibility note about fractional input
handling.
* dec2hex.m: Use "into" instead of "in to" in docstring.
author | Nicholas R. Jankowski <jankowskin@asme.org> |
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date | Fri, 18 Dec 2020 15:23:00 -0500 |
parents | d8318c12d903 |
children | 7854d5752dd2 |
rev | line source |
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1 ######################################################################## |
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2 ## |
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3 ## Copyright (C) 1996-2020 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/>. |
2325 | 7 ## |
2313 | 8 ## This file is part of Octave. |
9 ## | |
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10 ## Octave is free software: you can redistribute it and/or modify it |
2313 | 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. |
2313 | 14 ## |
15 ## Octave is distributed in the hope that it will be useful, but | |
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. |
2313 | 19 ## |
20 ## You should have received a copy of the GNU General Public License | |
7016 | 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 ######################################################################## |
2268 | 25 |
3361 | 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: |
3426 | 41 ## |
3361 | 42 ## @example |
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43 ## @group |
3361 | 44 ## dec2bin (14) |
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 |
3361 | 50 ## @end example |
3789 | 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} |
3361 | 64 ## @end deftypefn |
2268 | 65 |
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66 function b = dec2bin (d, len) |
2268 | 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 |
4492 | 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); |
2268 | 98 endif |
99 | |
100 endfunction | |
7411 | 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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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 ()) |