annotate scripts/strings/dec2base.m @ 13309:1f075333d9e8

dec2base.m: Code tweaks for slightly better performance. * dec2base.m: Code tweaks for slightly better performance. Use Octave syntax guidelines on spacing and 'endfor' keyword.
author Rik <octave@nomad.inbox5.com>
date Mon, 10 Oct 2011 11:12:34 -0700
parents f7cb824dc8c0
children 72c96de7a403
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1 ## Copyright (C) 2000-2011 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} {} dec2base (@var{d}, @var{base})
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21 ## @deftypefnx {Function File} {} dec2base (@var{d}, @var{base}, @var{len})
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22 ## Return a string of symbols in base @var{base} corresponding to
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23 ## the non-negative integer @var{d}.
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24 ##
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25 ## @example
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26 ## @group
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27 ## dec2base (123, 3)
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28 ## @result{} "11120"
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29 ## @end group
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30 ## @end example
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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
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33 ## row per element in @var{d}, padded with leading zeros to the width of
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34 ## the largest value.
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35 ##
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36 ## If @var{base} is a string then the characters of @var{base} are used as
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37 ## the symbols for the digits of @var{d}. Space (' ') may not be used
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38 ## as a symbol.
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39 ##
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40 ## @example
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41 ## @group
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42 ## dec2base (123, "aei")
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43 ## @result{} "eeeia"
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44 ## @end group
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45 ## @end example
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46 ##
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47 ## The optional third argument, @var{len}, specifies the minimum
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48 ## number of digits in the result.
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49 ## @seealso{base2dec, dec2bin, dec2hex}
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50 ## @end deftypefn
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51
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52 ## Author: Daniel Calvelo <dcalvelo@yahoo.com>
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53 ## Adapted-by: Paul Kienzle <pkienzle@kienzle.powernet.co.uk>
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54
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55 function retval = dec2base (d, base, len)
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56
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57 if (nargin < 2 || nargin > 3)
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58 print_usage ();
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59 endif
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60
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61 if (iscell (d))
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62 d = cell2mat (d);
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63 endif
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64
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65 # Create column vector for algorithm
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66 if (! iscolumn (d))
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67 d = d(:);
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68 endif
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69
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70 if (! isnumeric (d) || iscomplex (d) || any (d < 0 | d != fix (d)))
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71 error ("dec2base: input must be real non-negative integers");
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72 endif
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73
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74 symbols = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ";
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75 if (ischar (base))
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76 symbols = base;
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77 base = length (symbols);
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78 if (length (unique (symbols)) != base)
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79 error ("dec2base: symbols representing digits must be unique");
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80 endif
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81 if (any (isspace (symbols)))
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82 error ("dec2base: whitespace characters are not valid symbols");
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83 endif
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84 elseif (! isscalar (base))
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85 error ("dec2base: cannot convert from several bases at once");
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86 elseif (base < 2 || base > length (symbols))
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87 error ("dec2base: BASE must be between 2 and 36, or a string of symbols");
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88 endif
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89
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90 ## determine number of digits required to handle all numbers, can overflow
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91 ## by 1 digit
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92 max_len = round (log (max (max (d(:)), 1)) / log (base)) + 1;
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93
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94 if (nargin == 3)
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95 max_len = max (max_len, len);
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96 endif
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97
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98 ## determine digits for each number
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99 digits = zeros (length (d), max_len);
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100 for k = max_len:-1:1
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101 digits(:,k) = mod (d, base);
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102 d = round ((d - digits(:,k)) / base);
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103 endfor
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104
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105 ## convert digits to symbols
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106 retval = reshape (symbols(digits+1), size (digits));
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107
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108 ## Check if the first element is the zero symbol. It seems possible
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109 ## that LEN is provided, and is less than the computed MAX_LEN and
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110 ## MAX_LEN is computed to be one larger than necessary, so we would
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111 ## have a leading zero to remove. But if LEN >= MAX_LEN, we should
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112 ## not remove any leading zeros.
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113 if ((nargin == 2 || (nargin == 3 && max_len > len))
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114 && length (retval) != 1 && ! any (retval(:,1) != symbols(1)))
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115 retval = retval(:,2:end);
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116 endif
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117
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118 endfunction
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119
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120
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121 %!test
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122 %! s0 = '';
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123 %! for n = 1:13
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124 %! for b = 2:16
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125 %! pp = dec2base (b^n+1, b);
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126 %! assert (dec2base(b^n, b), ['1',s0,'0']);
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127 %! assert (dec2base(b^n+1, b), ['1',s0,'1']);
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128 %! endfor
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129 %! s0 = [s0,'0'];
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130 %! endfor
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131
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132 %!test
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133 %! digits='0123456789ABCDEF';
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134 %! for n = 1:13
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135 %! for b = 2:16
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136 %! pm = dec2base(b^n-1, b);
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137 %! assert (length (pm), n);
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138 %! assert (all (pm==digits(b)));
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139 %! endfor
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140 %! endfor
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141
8bf86c0fad1b [project @ 2005-01-27 17:50:57 by jwe]
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142 %!test
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143 %! for b = 2:16
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144 %! assert (dec2base (0, b), '0');
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145 %! endfor
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146
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147 %!assert(dec2base (0, 2, 4), "0000");
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148 %!assert(dec2base (2^51-1, 2), ...
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149 %! '111111111111111111111111111111111111111111111111111');
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150 %!assert(dec2base(uint64(2)^63-1, 16), '7FFFFFFFFFFFFFFF');
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151 %!assert(dec2base([1, 2; 3, 4], 2, 3), ["001"; "011"; "010"; "100"]);
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152 %!assert(dec2base({1, 2; 3, 4}, 2, 3), ["001"; "011"; "010"; "100"]);
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153
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154 %%Test input validation
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155 %!error dec2base ()
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156 %!error dec2base (1)
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157 %!error dec2base (1, 2, 3, 4)
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158 %!error dec2base ("A")
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159 %!error dec2base (2i)
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160 %!error dec2base (-1)
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161 %!error dec2base (1.1)
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162 %!error dec2base (1, "ABA")
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163 %!error dec2base (1, "A B")
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164 %!error dec2base (1, ones(2))
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165 %!error dec2base (1, 1)
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166 %!error dec2base (1, 37)
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Rik <octave@nomad.inbox5.com>
parents: 9844
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167