annotate scripts/strings/base2dec.m @ 19697:4197fc428c7d

maint: Update copyright notices for 2015.
author John W. Eaton <jwe@octave.org>
date Wed, 11 Feb 2015 14:19:08 -0500
parents 446c46af4b42
children 9fc020886ae9
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19697
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1 ## Copyright (C) 2000-2015 Daniel Calvelo
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2 ##
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3 ## This file is part of Octave.
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4 ##
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5 ## Octave is free software; you can redistribute it and/or modify it
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6 ## under the terms of the GNU General Public License as published by
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7 ## the Free Software Foundation; either version 3 of the License, or (at
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8 ## your option) any later version.
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9 ##
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10 ## Octave is distributed in the hope that it will be useful, but
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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13 ## General Public License for more details.
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14 ##
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15 ## You should have received a copy of the GNU General Public License
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16 ## along with Octave; see the file COPYING. If not, see
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17 ## <http://www.gnu.org/licenses/>.
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18
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19 ## -*- texinfo -*-
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20 ## @deftypefn {Function File} {} base2dec (@var{s}, @var{base})
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21 ## Convert @var{s} from a string of digits in base @var{base} to a decimal
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22 ## integer (base 10).
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23 ##
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24 ## @example
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25 ## @group
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26 ## base2dec ("11120", 3)
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27 ## @result{} 123
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28 ## @end group
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29 ## @end example
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30 ##
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31 ## If @var{s} is a string matrix, return a column vector with one value per
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32 ## row of @var{s}. If a row contains invalid symbols then the
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33 ## corresponding value will be NaN@.
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34 ##
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35 ## If @var{s} is a cell array of strings, return a column vector with one
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36 ## value per cell element in @var{s}.
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37 ##
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38 ## If @var{base} is a string, the characters of @var{base} are used as the
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39 ## symbols for the digits of @var{s}. Space (' ') may not be used as a
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40 ## symbol.
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41 ##
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42 ## @example
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43 ## @group
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44 ## base2dec ("yyyzx", "xyz")
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45 ## @result{} 123
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46 ## @end group
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47 ## @end example
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48 ## @seealso{dec2base, bin2dec, hex2dec}
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49 ## @end deftypefn
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50
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51 ## Author: Daniel Calvelo <dcalvelo@yahoo.com>
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52 ## Adapted-by: Paul Kienzle <pkienzle@kienzle.powernet.co.uk>
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53
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54 function out = base2dec (s, base)
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55
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56 if (nargin != 2)
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57 print_usage ();
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58 endif
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59
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60 if (iscellstr (s))
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61 s = char (s);
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62 elseif (! ischar (s))
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63 error ("base2dec: S must be a string or cellstring");
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64 endif
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65
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66 symbols = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ";
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67 if (ischar (base))
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68 symbols = base;
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69 base = length (symbols);
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70 if (length (unique (symbols)) != base)
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71 error ("base2dec: symbols representing digits must be unique");
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72 endif
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73 if (any (isspace (symbols)))
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74 error ("base2dec: whitespace characters are not valid symbols");
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75 endif
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76 elseif (! isscalar (base))
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77 error ("base2dec: cannot convert from several bases at once");
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78 elseif (base < 2 || base > length (symbols))
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79 error ("base2dec: BASE must be between 2 and 36, or a string of symbols");
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80 else
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81 s = toupper (s);
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82 endif
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83
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84 ## Right justify the values and squeeze out any spaces.
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85 ## This looks complicated, but indexing solution is very fast
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86 ## compared to alternatives which use cellstr or cellfun or looping.
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87 [nr, nc] = size (s);
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88 if (nc > 1) # Bug #35621
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89 s = s.';
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90 nonbl = s != " ";
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91 num_nonbl = sum (nonbl);
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92 nc = max (num_nonbl);
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93 num_blank = nc - num_nonbl;
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94 R = repmat ([1 2; 0 0], 1, nr);
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95 R(2, 1:2:2*nr) = num_blank;
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96 R(2, 2:2:2*nr) = num_nonbl;
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97 idx = repelems ([false, true], R);
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98 idx = reshape (idx, nc, nr);
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99
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100 ## Create a blank matrix and position the nonblank characters.
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101 s2 = repmat (" ", nc, nr);
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102 s2(idx) = s(nonbl);
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103 s = s2.';
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104 endif
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105
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106 ## Lookup value of symbols in symbol table, with invalid symbols
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107 ## evaluating to NaN and space evaluating to 0.
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108 table = NaN (1, 256);
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109 table(toascii (symbols(1:base))) = 0 : base-1;
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110 table(toascii (" ")) = 0;
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111 s = reshape (table(toascii (s)), size (s));
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112
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113 ## Multiply the resulting digits by the appropriate power
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114 ## and sum the rows.
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115 out = s * (base .^ (columns(s)-1 : -1 : 0)');
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116
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117 endfunction
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118
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119
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120 %!assert (base2dec ("11120", 3), 123)
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121 %!assert (base2dec ("yyyzx", "xyz"), 123)
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122 %!assert (base2dec ("-1", 2), NaN)
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123 %!assert (base2dec ({"A1", "1A"}, 16), [161; 26])
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124
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125 %% Bug #35621
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126 %!assert (base2dec (["0"; "1"], 2), [0; 1])
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127
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128 %%Test input validation
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129 %!error base2dec ()
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130 %!error base2dec ("11120")
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131 %!error base2dec ("11120", 3, 4)
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132 %!error base2dec ("11120", "1231")
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133 %!error base2dec ("11120", "12 3")
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134 %!error base2dec ("11120", ones (2))
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diff changeset
135 %!error base2dec ("11120", 37)
11172
7e8ce65f73cf Overhaul functions used to convert between number bases.
Rik <octave@nomad.inbox5.com>
parents: 10793
diff changeset
136