1 | /* This file is part of the project "Hilbert II" - http://www.qedeq.org |
2 | * |
3 | * Copyright 2000-2014, Michael Meyling <mime@qedeq.org>. |
4 | * |
5 | * "Hilbert II" is free software; you can redistribute |
6 | * it and/or modify it under the terms of the GNU General Public |
7 | * License as published by the Free Software Foundation; either |
8 | * version 2 of the License, or (at your option) any later version. |
9 | * |
10 | * This program is distributed in the hope that it will be useful, |
11 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
12 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
13 | * GNU General Public License for more details. |
14 | */ |
15 | |
16 | package org.qedeq.kernel.bo.logic.model; |
17 | |
18 | |
19 | /** |
20 | * A model for our mathematical world. It has entities, functions and predicates. |
21 | * There are also predicate and function constants. |
22 | * |
23 | * @author Michael Meyling |
24 | */ |
25 | public final class SixDynamicModel extends DynamicModel { |
26 | |
27 | /** "Zero" or empty set. */ |
28 | public static final Entity EMPTY = new Entity(0, "{}", "{} or empty set"); |
29 | |
30 | /** "One" or set that contains the empty set. */ |
31 | public static final Entity ZERO_ONE = new Entity(1, "1", "1"); |
32 | |
33 | /** "Two" or set that contains "zero" and "one". */ |
34 | public static final Entity ZERO_TWO = new Entity(2, "2", "2"); |
35 | |
36 | /** "One" or set that contains the empty set. */ |
37 | public static final Entity ONE_ONE = new Entity(3, "{1}", "{1}"); |
38 | |
39 | /** "Two" or set that contains "zero" and "one". */ |
40 | public static final Entity ONE_TWO = new Entity(4, "{2}", "{2}"); |
41 | |
42 | /** "Two" or set that contains "zero" and "one". */ |
43 | public static final Entity TWO_ONE_TWO = new Entity(5, "{1, 2}", "{1, 2}"); |
44 | |
45 | /** Map to empty class. */ |
46 | public static final Function FUNCTION_EMPTY = Function.createConstant(EMPTY); |
47 | |
48 | /** Map to 1. */ |
49 | public static final Function FUNCTION_ZERO_ONE = Function.createConstant(ZERO_ONE); |
50 | |
51 | /** Map to 2. */ |
52 | public static final Function FUNCTION_ZERO_TWO = Function.createConstant(ZERO_TWO); |
53 | |
54 | /** Map to {1}. */ |
55 | public static final Function FUNCTION_ONE_ONE = Function.createConstant(ONE_ONE); |
56 | |
57 | /** Map to {2}. */ |
58 | public static final Function FUNCTION_ONE_TWO = Function.createConstant(ONE_TWO); |
59 | |
60 | /** Map to {1, 2}. */ |
61 | public static final Function FUNCTION_TWO_ONE_TWO = Function.createConstant(TWO_ONE_TWO); |
62 | |
63 | /** Return true if all values are zero. */ |
64 | public static final Predicate IS_EMPTY = Predicate.isEntity(EMPTY); |
65 | |
66 | /** Return true if all values are 1. */ |
67 | public static final Predicate IS_ZERO_ONE = Predicate.isEntity(ZERO_ONE); |
68 | |
69 | /** Return true if all values are 2. */ |
70 | public static final Predicate IS_ZERO_TWO = Predicate.isEntity(ZERO_TWO); |
71 | |
72 | /** Return true if all values are {1}. */ |
73 | public static final Predicate IS_ONE_ONE = Predicate.isEntity(ONE_ONE); |
74 | |
75 | /** Return true if all values are {2}. */ |
76 | public static final Predicate IS_ONE_TWO = Predicate.isEntity(ONE_TWO); |
77 | |
78 | /** Return true if all values are {2}. */ |
79 | public static final Predicate IS_TWO_ONE_TWO = Predicate.isEntity(TWO_ONE_TWO); |
80 | |
81 | /** Are the entities are not all equal to {2}? */ |
82 | public static final Predicate NOT_IS_ONE_TWO = Predicate.not(IS_ONE_TWO); |
83 | |
84 | /** Map to one. */ |
85 | /** Modulo 3. */ |
86 | private final Function functionModulo3 = new Function(0, 99, "% 3", "modulo 3") { |
87 | public Entity map(final Entity[] entities) { |
88 | int result = 0; |
89 | for (int i = 0; i < entities.length; i++) { |
90 | result += entities[i].getValue() % 3; |
91 | } |
92 | result = result % 3; |
93 | return getEntity(result); |
94 | } |
95 | }; |
96 | |
97 | /** +1 Modulo 3. */ |
98 | private final Function functionPlus1Modulo3 = new Function(0, 99, "+1 % 3", "plus 1 modulo 3") { |
99 | public Entity map(final Entity[] entities) { |
100 | int result = 1; |
101 | for (int i = 0; i < entities.length; i++) { |
102 | result += entities[i].getValue() % 3; |
103 | } |
104 | result = result % 3; |
105 | return getEntity(result); |
106 | } |
107 | }; |
108 | |
109 | |
110 | /** |
111 | * Constructor. |
112 | */ |
113 | public SixDynamicModel() { |
114 | super("six elements"); |
115 | |
116 | addEntity(EMPTY); |
117 | addEntity(ZERO_ONE); |
118 | addEntity(ZERO_TWO); |
119 | addEntity(ONE_ONE); |
120 | addEntity(ONE_TWO); |
121 | addEntity(TWO_ONE_TWO); |
122 | |
123 | addFunction(0, FUNCTION_EMPTY); |
124 | addFunction(0, FUNCTION_ZERO_ONE); |
125 | addFunction(0, FUNCTION_ZERO_TWO); |
126 | addFunction(0, FUNCTION_ONE_ONE); |
127 | addFunction(0, FUNCTION_ONE_TWO); |
128 | addFunction(0, FUNCTION_TWO_ONE_TWO); |
129 | |
130 | addFunction(1, FUNCTION_EMPTY); |
131 | addFunction(1, FUNCTION_ZERO_ONE); |
132 | addFunction(1, functionModulo3); |
133 | addFunction(1, functionPlus1Modulo3); |
134 | |
135 | addFunction(2, FUNCTION_EMPTY); |
136 | addFunction(2, FUNCTION_ZERO_ONE); |
137 | addFunction(2, functionModulo3); |
138 | addFunction(2, functionPlus1Modulo3); |
139 | |
140 | addPredicate(0, FALSE); |
141 | addPredicate(0, TRUE); |
142 | |
143 | addPredicate(1, FALSE); |
144 | addPredicate(1, TRUE); |
145 | addPredicate(1, EVEN); |
146 | addPredicate(1, IS_EMPTY); |
147 | addPredicate(1, IS_ZERO_ONE); |
148 | addPredicate(1, IS_ZERO_TWO); |
149 | addPredicate(1, IS_ONE_ONE); |
150 | addPredicate(1, IS_TWO_ONE_TWO); |
151 | |
152 | addPredicate(2, FALSE); |
153 | addPredicate(2, TRUE); |
154 | addPredicate(2, EVEN); |
155 | addPredicate(2, LESS); |
156 | addPredicate(2, EQUAL); |
157 | addPredicate(2, IS_EMPTY); |
158 | addPredicate(2, IS_ZERO_ONE); |
159 | addPredicate(2, IS_ZERO_TWO); |
160 | addPredicate(2, IS_ONE_ONE); |
161 | addPredicate(2, IS_ONE_TWO); |
162 | |
163 | addPredicateConstant(new ModelPredicateConstant("in", 2), new Predicate(2, 2, "in", "isSet") { |
164 | public boolean calculate(final Entity[] entities) { |
165 | boolean result = false; |
166 | final int a = entities[0].getValue(); |
167 | final int b = entities[1].getValue(); |
168 | if (a == 1 && (b == 3 || b == 5)) { |
169 | result = true; |
170 | } |
171 | if (a == 2 && (b == 4 || b == 5)) { |
172 | result = true; |
173 | } |
174 | return result; |
175 | } |
176 | }); |
177 | } |
178 | |
179 | public String getDescription() { |
180 | return "This model has six entities: {}, {1}, {2}, {{1}}, {{2}} and {1, 2}."; |
181 | } |
182 | |
183 | public Entity comprehension(final Entity[] array) { |
184 | Entity result = EMPTY; |
185 | for (int i = 0; i < array.length; i++) { |
186 | switch (array[i].getValue()) { |
187 | case 0: |
188 | case 3: |
189 | case 4: |
190 | case 5: break; |
191 | case 1: if (result.getValue() != 5) { |
192 | if (result.getValue() == 0) { |
193 | result = ONE_ONE; |
194 | } else if (result.getValue() == 4) { |
195 | result = TWO_ONE_TWO; |
196 | } |
197 | } |
198 | break; |
199 | case 2: if (result.getValue() != 5) { |
200 | if (result.getValue() == 0) { |
201 | result = ONE_TWO; |
202 | } else if (result.getValue() == 4) { |
203 | result = TWO_ONE_TWO; |
204 | } |
205 | } |
206 | break; |
207 | default: throw new RuntimeException("unknown value for entity " + array[i]); |
208 | } |
209 | } |
210 | return result; |
211 | } |
212 | |
213 | } |