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annotate scripts/ode/private/fuzzy_compare.m @ 20580:25623ef2ff4f

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doc: Rewrite docstrings for ode* family of functions. * scripts/ode/module.mk: Remove extra newline. * ode45.m, odeget.m, odeset.m: Rewrite docstrings. * AbsRel_Norm.m, fuzzy_compare.m, hermite_quartic_interpolation.m, integrate_adaptive.m, integrate_const.m, integrate_n_steps.m, kahan.m, ode_struct_value_check.m, odepkg_event_handle.m, odepkg_structure_check.m, runge_kutta_45_dorpri.m, starting_stepsize.m: Don't break @deftypefn lines. Wrap lines at 80 columns rather than 72.
author Rik <rik@octave.org>
date Sat, 03 Oct 2015 21:03:16 -0700
parents fcb792acab9b
children eb9e2d187ed2
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rev   line source
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1 ## Copyright (C) 2013, Roberto Porcu' <roberto.porcu@polimi.it>
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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} {[@var{res}] =} fuzzy_compare (@var{"string1"}, @var{string_set}, [@var{correctness}])
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21 ##
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22 ## Compare a string with a set of strings and returns the positions in the
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23 ## set of strings at which there are the fields that best fit the one we are
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24 ## comparing.
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25 ##
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26 ## The distance used to compare the words is the Levenshtein distance
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27 ## and for more details see
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28 ## @url{http://en.wikipedia.org/wiki/Levenshtein_distance}.
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29 ##
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30 ## This function must be called with one output argument @var{res} which
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31 ## contains the positions of the elements in @var{string_set} which best fit
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32 ## the given word. The tolerance that is used to determine if a field of the
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33 ## list fits or not the given word is a function of the length of the word
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34 ## and of the minimum distance of the word from all the elements of the list.
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35 ## The more the length, the more the tolerance. The less the minimum, the
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36 ## less the tolerance but if the minimum is close to the length of the word,
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37 ## the tolerance must be small because it means that no field in the list is
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38 ## really fitting the given word. So that the function is:
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39 ##
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40 ## @ifhtml
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41 ## @example
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42 ## @math{tolerance = 2 * (length-minimum) * minimum / length}
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43 ## @end example
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44 ## @end ifhtml
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45 ## @ifnothtml
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46 ## @math{tolerance = 2 * (length-minimum) * minimum / length}.
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47 ## @end ifnothtml
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48 ##
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49 ## The first input argument must be a string containing the word to compare.
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50 ##
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51 ## The second input argument must be a vector of strings or a cell_array of
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52 ## strings and should contain the fields to use for the comparison.
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53 ##
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54 ## The third input argument is optional and represents a fixed tolerance that
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55 ## will replace the implemented one.
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56 ## @end deftypefn
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57 ##
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58 ## @seealso{odeset, odeget, levenshtein}
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59
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60 function res = fuzzy_compare (string1, string_set, correctness)
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61
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62 ## check on output arguments
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63 if (nargout > 1)
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64 error ("OdePkg:InvalidArgument", "too many output arguments");
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65 endif
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66
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67 ## check on input arguments
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68 if (nargin < 2 || nargin > 3)
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69 error ("OdePkg:InvalidArgument", "wrong input arguments number");
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70 endif
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71
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72 if (! ischar (string1)
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73 || (! iscellstr (string_set)
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74 && ! ischar (string_set)))
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75 error ("OdePkg:InvalidArgument",
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76 "first argument must be a string, second argument ",
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77 "must be an array of strings or a cell array of strings");
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78 endif
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79
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80 if (nargin == 3)
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81 if ((! isnumeric (correctness) || ! isscalar (correctness))
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82 && (! ischar (correctness)))
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83 error ("OdePkg:InvalidArgument",
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84 "third input argument must be a positive ",
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85 "integer or a string");
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86 endif
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87
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88 if (isnumeric (correctness)
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89 && ( correctness < 0 || mod (correctness, 1) != 0))
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90 error ("OdePkg:InvalidArgument",
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91 "third input argument must be a positive integer");
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92 endif
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93 endif
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94
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95 res = [];
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96
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97 m = length (string1);
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98 fields_nb = size (string_set, 1);
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99
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100 values = inf .* ones (fields_nb, 1);
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101
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102 string1 = deblank (string1);
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103 string2 = [];
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104
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105 minimus = inf;
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106 ## loop on every field of the list
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107 for i = 1:fields_nb
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108 if (iscellstr (string_set))
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109 string2 = deblank (string_set{i});
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110 else
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111 string2 = deblank (string_set(i,:));
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112 endif
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113 ## compute Levenshtein distance (not case sensitive)
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114 values(i) = levenshtein (lower (string1),
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115 lower (string2),
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jcorno <jacopo.corno@gmail.com>
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116 minimus);
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117 ## update the upper_bound to speedup the computation
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118 minimus = min (minimus, values(i));
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119 endfor
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120
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121 positions = find (values == minimus);
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122
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123 if (minimus == 0) # exact match
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124 if (size (positions, 1) != 1)
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125 error ("OdePkg:InvalidArgument",
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126 "there are %d strings perfectly matching ''%s''",
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127 size (positions, 1), string1);
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128 endif
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129 res = positions;
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130 return
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jcorno <jacopo.corno@gmail.com>
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131 endif
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132
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133 ## determine the tolerance with the formula described in the
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134 ## textinfo section it is a downwards parable with zeros in 0 and m
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135 ## and with a maximum in m/2 of value m/2
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136 tolerance = m * (-(minimus - m) * minimus * (2 / (m*m)));
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jcorno <jacopo.corno@gmail.com>
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137
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jcorno <jacopo.corno@gmail.com>
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138 ## if the degree of correctness is fixed by the user, it will
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139 ## replace the tolerance
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140 if (nargin == 3)
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141 if ((isnumeric (correctness)
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142 && isscalar (correctness)
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143 && correctness == 0)
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144 || (ischar (correctness)
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jcorno <jacopo.corno@gmail.com>
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145 && strcmp (lower (deblank (correctness)), 'exact')))
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146 error ("OdePkg:InvalidArgument",
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jcorno <jacopo.corno@gmail.com>
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147 "no exact matching for string ''%s''", string1);
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jcorno <jacopo.corno@gmail.com>
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148 endif
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jcorno <jacopo.corno@gmail.com>
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149 if (isnumeric (correctness)
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jcorno <jacopo.corno@gmail.com>
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150 && isscalar (correctness))
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151 tolerance = correctness;
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152 endif
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jcorno <jacopo.corno@gmail.com>
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153 endif
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154
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jcorno <jacopo.corno@gmail.com>
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155 ## returning the positions of the fields whose distance is lower
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jcorno <jacopo.corno@gmail.com>
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156 ## than the tolerance
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157 for i = 1:1:fields_nb
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158 if (values(i) <= tolerance)
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159 res = [res; i];
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160 endif
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161 endfor
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162
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163 endfunction
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164
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jcorno <jacopo.corno@gmail.com>
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165 ## Local Variables: ***
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jcorno <jacopo.corno@gmail.com>
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166 ## mode: octave ***
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167 ## End: ***