1 (* ========================================================================= *) |
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2 (* FINITE SETS WITH A FIXED ELEMENT TYPE *) |
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3 (* Copyright (c) 2004-2006 Joe Hurd, distributed under the BSD License *) |
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4 (* ========================================================================= *) |
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5 |
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6 signature ElementSet = |
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7 sig |
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8 |
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9 type element |
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10 |
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11 (* ------------------------------------------------------------------------- *) |
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12 (* Finite sets *) |
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13 (* ------------------------------------------------------------------------- *) |
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14 |
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15 type set |
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16 |
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17 val empty : set |
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18 |
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19 val singleton : element -> set |
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20 |
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21 val null : set -> bool |
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22 |
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23 val size : set -> int |
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24 |
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25 val member : element -> set -> bool |
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26 |
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27 val add : set -> element -> set |
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28 |
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29 val addList : set -> element list -> set |
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30 |
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31 val delete : set -> element -> set (* raises Error *) |
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32 |
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33 (* Union and intersect prefer elements in the second set *) |
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34 |
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35 val union : set -> set -> set |
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36 |
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37 val unionList : set list -> set |
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38 |
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39 val intersect : set -> set -> set |
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40 |
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41 val intersectList : set list -> set |
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42 |
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43 val difference : set -> set -> set |
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44 |
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45 val symmetricDifference : set -> set -> set |
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46 |
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47 val disjoint : set -> set -> bool |
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48 |
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49 val subset : set -> set -> bool |
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50 |
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51 val equal : set -> set -> bool |
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52 |
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53 val filter : (element -> bool) -> set -> set |
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54 |
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55 val partition : (element -> bool) -> set -> set * set |
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56 |
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57 val count : (element -> bool) -> set -> int |
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58 |
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59 val foldl : (element * 's -> 's) -> 's -> set -> 's |
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60 |
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61 val foldr : (element * 's -> 's) -> 's -> set -> 's |
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62 |
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63 val findl : (element -> bool) -> set -> element option |
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64 |
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65 val findr : (element -> bool) -> set -> element option |
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66 |
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67 val firstl : (element -> 'a option) -> set -> 'a option |
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68 |
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69 val firstr : (element -> 'a option) -> set -> 'a option |
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70 |
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71 val exists : (element -> bool) -> set -> bool |
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72 |
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73 val all : (element -> bool) -> set -> bool |
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74 |
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75 val map : (element -> 'a) -> set -> (element * 'a) list |
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76 |
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77 val transform : (element -> 'a) -> set -> 'a list |
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78 |
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79 val app : (element -> unit) -> set -> unit |
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80 |
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81 val toList : set -> element list |
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82 |
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83 val fromList : element list -> set |
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84 |
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85 val pick : set -> element (* raises Empty *) |
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86 |
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87 val random : set -> element (* raises Empty *) |
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88 |
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89 val deletePick : set -> element * set (* raises Empty *) |
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90 |
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91 val deleteRandom : set -> element * set (* raises Empty *) |
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92 |
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93 val compare : set * set -> order |
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94 |
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95 val close : (set -> set) -> set -> set |
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96 |
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97 val toString : set -> string |
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98 |
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99 (* ------------------------------------------------------------------------- *) |
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100 (* Iterators over sets *) |
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101 (* ------------------------------------------------------------------------- *) |
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102 |
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103 type iterator |
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104 |
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105 val mkIterator : set -> iterator option |
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106 |
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107 val mkRevIterator : set -> iterator option |
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108 |
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109 val readIterator : iterator -> element |
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110 |
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111 val advanceIterator : iterator -> iterator option |
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112 |
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113 end |
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