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annotate m-toolbox/classes/@unit/simplify.m @ 16:91f21a0aab35 database-connection-manager

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Update utils.jquery * * * Update utils.jmysql.getsinfo
author Daniele Nicolodi <nicolodi@science.unitn.it>
date Mon, 05 Dec 2011 16:20:06 +0100
parents f0afece42f48
children
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0
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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1 % SIMPLIFY the units.
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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3 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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4 % DESCRIPTION: SIMPLIFY the units.
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Daniele Nicolodi <nicolodi@science.unitn.it>
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5 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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6 % CALL: a = a.simplify
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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7 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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8 % VERSION: $Id: simplify.m,v 1.10 2011/02/18 16:48:55 ingo Exp $
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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9 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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10 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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Daniele Nicolodi <nicolodi@science.unitn.it>
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11
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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12 function v = simplify(v, exceptions)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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13
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Daniele Nicolodi <nicolodi@science.unitn.it>
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14 v = copy(v, nargout);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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15
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Daniele Nicolodi <nicolodi@science.unitn.it>
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16 if nargin == 1
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Daniele Nicolodi <nicolodi@science.unitn.it>
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17 exceptions = {};
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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18 elseif nargin == 2
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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19 if ischar(exceptions)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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20 exceptions = cellstr(exceptions);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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21 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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22 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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23
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Daniele Nicolodi <nicolodi@science.unitn.it>
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24 udef = struct('vals', [], 'exps', []);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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25 ustruct = struct();
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Daniele Nicolodi <nicolodi@science.unitn.it>
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26 ex = struct('strs', {{}}, 'vals', [], 'exps', []);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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27 remain_val = 1;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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28
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Daniele Nicolodi <nicolodi@science.unitn.it>
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29 % Create a structure with the different units as the fields
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Daniele Nicolodi <nicolodi@science.unitn.it>
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30 % For example: 'mm um ks^2 s'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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31 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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32 % ustruct.m: vals = [1e-3 1e-6]
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Daniele Nicolodi <nicolodi@science.unitn.it>
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33 % exps = [1 1]
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Daniele Nicolodi <nicolodi@science.unitn.it>
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34 % ustruct.s: vals = [1e3 1]
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Daniele Nicolodi <nicolodi@science.unitn.it>
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35 % exps = [2 1]
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Daniele Nicolodi <nicolodi@science.unitn.it>
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36 %
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Daniele Nicolodi <nicolodi@science.unitn.it>
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37 % 1.) Initialize structure with empty 'vals' and 'exps' fields
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Daniele Nicolodi <nicolodi@science.unitn.it>
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38 % 2.) Fill 'vals' and 'exps' fields
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Daniele Nicolodi <nicolodi@science.unitn.it>
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39 for ii = unique(v.strs)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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40 if ~utils.helper.ismember(ii, exceptions)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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41 ustruct.(cell2mat(ii)) = udef;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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42 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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43 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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44 for ii = 1:numel(v.strs)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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45 if ~(utils.helper.ismember(v.strs{ii}, exceptions) || utils.helper.ismember(sprintf('%s%s', unit.val2prefix(v.vals(ii)), v.strs{ii}), exceptions))
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Daniele Nicolodi <nicolodi@science.unitn.it>
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46 ustruct.(v.strs{ii}).vals = [ustruct.(v.strs{ii}).vals v.vals(ii)];
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Daniele Nicolodi <nicolodi@science.unitn.it>
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47 ustruct.(v.strs{ii}).exps = [ustruct.(v.strs{ii}).exps v.exps(ii)];
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Daniele Nicolodi <nicolodi@science.unitn.it>
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48 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
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49 % Collext all units which are in the exception list
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Daniele Nicolodi <nicolodi@science.unitn.it>
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50 ex.strs = [ex.strs v.strs(ii)];
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Daniele Nicolodi <nicolodi@science.unitn.it>
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51 ex.vals = [ex.vals v.vals(ii)];
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Daniele Nicolodi <nicolodi@science.unitn.it>
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52 ex.exps = [ex.exps v.exps(ii)];
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Daniele Nicolodi <nicolodi@science.unitn.it>
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53 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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54 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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55
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Daniele Nicolodi <nicolodi@science.unitn.it>
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56 % Simplify all supported units
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Daniele Nicolodi <nicolodi@science.unitn.it>
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57 fields = fieldnames(ustruct);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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58 for ii = 1:numel(fields)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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59 field = fields{ii};
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Daniele Nicolodi <nicolodi@science.unitn.it>
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60
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Daniele Nicolodi <nicolodi@science.unitn.it>
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61 exp = sum(ustruct.(field).exps);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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62 if exp == 0
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Daniele Nicolodi <nicolodi@science.unitn.it>
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63 % The unit is canced. Keep prefix
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Daniele Nicolodi <nicolodi@science.unitn.it>
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64 remain_val = remain_val * power(10,sum(log10(ustruct.(field).vals) .* ustruct.(field).exps));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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65 ustruct = rmfield(ustruct, field);
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66 continue
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Daniele Nicolodi <nicolodi@science.unitn.it>
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67 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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68
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Daniele Nicolodi <nicolodi@science.unitn.it>
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69 [N,D] = rat(sum( log10(ustruct.(field).vals) .* ustruct.(field).exps ./ exp));
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Daniele Nicolodi <nicolodi@science.unitn.it>
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70
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Daniele Nicolodi <nicolodi@science.unitn.it>
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71 if D ~= 1 || ~any(N==[-24:3:-3 -2:1:2 3:3:24])
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Daniele Nicolodi <nicolodi@science.unitn.it>
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72 % The value is not a supported prefix -> Don't simplify
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Daniele Nicolodi <nicolodi@science.unitn.it>
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73 continue
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Daniele Nicolodi <nicolodi@science.unitn.it>
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74 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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75
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Daniele Nicolodi <nicolodi@science.unitn.it>
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76 % Simplify the units
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Daniele Nicolodi <nicolodi@science.unitn.it>
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77 ustruct.(field).vals = eval(['1e' num2str(N)]);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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78 ustruct.(field).exps = exp;
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Daniele Nicolodi <nicolodi@science.unitn.it>
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79 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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80
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Daniele Nicolodi <nicolodi@science.unitn.it>
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81 % Prepare output unit-object
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Daniele Nicolodi <nicolodi@science.unitn.it>
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82 % All information of the output object is in 'ustruct'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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83 v.strs = {};
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Daniele Nicolodi <nicolodi@science.unitn.it>
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84 v.vals = [];
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Daniele Nicolodi <nicolodi@science.unitn.it>
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85 v.exps = [];
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Daniele Nicolodi <nicolodi@science.unitn.it>
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86 fields = fieldnames(ustruct);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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87 for ii = 1:numel(fields)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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88 field = fields{ii};
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Daniele Nicolodi <nicolodi@science.unitn.it>
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89 strs = {};
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Daniele Nicolodi <nicolodi@science.unitn.it>
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90 strs(1:numel(ustruct.(field).vals)) = {field};
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Daniele Nicolodi <nicolodi@science.unitn.it>
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91 v.strs = [v.strs strs];
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Daniele Nicolodi <nicolodi@science.unitn.it>
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92 v.vals = [v.vals ustruct.(field).vals];
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Daniele Nicolodi <nicolodi@science.unitn.it>
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93 v.exps = [v.exps ustruct.(field).exps];
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Daniele Nicolodi <nicolodi@science.unitn.it>
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94 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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95
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Daniele Nicolodi <nicolodi@science.unitn.it>
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96 if remain_val ~= 1 && numel(v.vals) >= 1
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Daniele Nicolodi <nicolodi@science.unitn.it>
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97 % It might be that the units are canceled out but not the prefixes
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Daniele Nicolodi <nicolodi@science.unitn.it>
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98 % For example: 'mm m^-1 Hz'
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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99 % Add in this case the prefix to the remaining unit
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Daniele Nicolodi <nicolodi@science.unitn.it>
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100 % Result: 'mHz'
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Daniele Nicolodi <nicolodi@science.unitn.it>
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101 [N,D] = rat((log10(v.vals) .* v.exps + log10(remain_val) ) ./ v.exps);
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Daniele Nicolodi <nicolodi@science.unitn.it>
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102 idx = find(D==1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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103
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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104 found = false;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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105 for ii = 1:numel(idx)
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Daniele Nicolodi <nicolodi@science.unitn.it>
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106 valexp = N(idx(ii));
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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107 if ~any(valexp==[-24:3:-3 -2:1:2 3:3:24])
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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108 % It is not possibple to add the remaining prefix to one of the other
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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109 % units without having an not suported prefix
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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110 continue
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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111 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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112 found = true;
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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113 break
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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114 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
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115 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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116
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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117 if ~found
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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118 % If it is not possible to add the remaining prefix to an other unit
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Daniele Nicolodi <nicolodi@science.unitn.it>
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119 % then retrun the input unit
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Daniele Nicolodi <nicolodi@science.unitn.it>
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120 v = copy(v, 1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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121 return
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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122 else
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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123 idx = idx(ii);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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124 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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125
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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126 v.vals(idx) = eval(['1e' num2str(N(idx))]);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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127
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Daniele Nicolodi <nicolodi@science.unitn.it>
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128 % It might be that it is possible to simplify the units again
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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129 v.simplify(exceptions);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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130
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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131 elseif remain_val ~= 1 && isempty(v.vals)
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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132 % It might be that the units are canceled out but not the prefixes
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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133 % For example: 'mm m^-1'
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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134 % But it is possible that there is no unit left. Return in this case
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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135 % the input object.
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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136 % Result: 'mm m^-1'
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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137 v = copy(v, 1);
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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138 return
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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139 end
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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140
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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141 % Add units which are in the exception list
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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142 v.strs = [v.strs ex.strs];
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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143 v.vals = [v.vals ex.vals];
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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144 v.exps = [v.exps ex.exps];
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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145
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Daniele Nicolodi <nicolodi@science.unitn.it>
parents:
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146 end