001 /* This file is part of the project "Hilbert II" - http://www.qedeq.org
002 *
003 * Copyright 2000-2013, Michael Meyling <mime@qedeq.org>.
004 *
005 * "Hilbert II" is free software; you can redistribute
006 * it and/or modify it under the terms of the GNU General Public
007 * License as published by the Free Software Foundation; either
008 * version 2 of the License, or (at your option) any later version.
009 *
010 * This program is distributed in the hope that it will be useful,
011 * but WITHOUT ANY WARRANTY; without even the implied warranty of
012 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
013 * GNU General Public License for more details.
014 */
015
016 package org.qedeq.kernel.bo.logic.model;
017
018
019 /**
020 * A model for our mathematical world. It has entities, functions and predicates.
021 * There are also predicate and function constants.
022 *
023 * @author Michael Meyling
024 */
025 public final class ThreeDynamicModel extends DynamicModel {
026
027 /** "Zero" or empty set. */
028 public static final Entity ZERO = new Entity(0, "{}", "{} or empty set");
029
030 /** "One" or set that contains the empty set. */
031 public static final Entity ONE = new Entity(1, "{{}}", "{{}} or 1");
032
033 /** "Two" or set that contains "zero" and "one". */
034 public static final Entity TWO = new Entity(2, "{{}, {{}}}", "{{}, {{}}} or 2");
035
036 /** Map to empty class. */
037 public static final Function FUNCTION_ZERO = Function.createConstant(ZERO);
038
039 /** Map to 1. */
040 public static final Function FUNCTION_ONE = Function.createConstant(ONE);
041
042 /** Map to 2. */
043 public static final Function FUNCTION_TWO = Function.createConstant(TWO);
044
045 /** Return true if all values are zero. */
046 public static final Predicate IS_ZERO = Predicate.isEntity(ZERO);
047
048 /** Return true if all values are 1. */
049 public static final Predicate IS_ONE = Predicate.isEntity(ONE);
050
051 /** Return true if all values are 2. */
052 public static final Predicate IS_TWO = Predicate.isEntity(TWO);
053
054 /** Map to one. */
055 /** Modulo 3. */
056 private final Function functionModulo3 = new Function(0, 99, "% 3", "modulo 3") {
057 public Entity map(final Entity[] entities) {
058 int result = 0;
059 for (int i = 0; i < entities.length; i++) {
060 result += entities[i].getValue() % 3;
061 }
062 result = result % 3;
063 return getEntity(result);
064 }
065 };
066
067 /** +1 Modulo 3. */
068 private final Function functionPlus1Modulo3 = new Function(0, 99, "+1 % 3", "plus 1 modulo 3") {
069 public Entity map(final Entity[] entities) {
070 int result = 1;
071 for (int i = 0; i < entities.length; i++) {
072 result += entities[i].getValue() % 3;
073 }
074 result = result % 3;
075 return getEntity(result);
076 }
077 };
078
079
080 /**
081 * Constructor.
082 */
083 public ThreeDynamicModel() {
084 super("three elements");
085
086 addEntity(ZERO);
087 addEntity(ONE);
088 addEntity(TWO);
089
090 addFunction(0, FUNCTION_ZERO);
091 addFunction(0, FUNCTION_ONE);
092 addFunction(0, FUNCTION_TWO);
093
094 addFunction(1, FUNCTION_ZERO);
095 addFunction(1, FUNCTION_ONE);
096 addFunction(1, functionModulo3);
097 addFunction(1, functionPlus1Modulo3);
098
099 addFunction(2, FUNCTION_ZERO);
100 addFunction(2, FUNCTION_ONE);
101 addFunction(2, functionModulo3);
102 addFunction(2, functionPlus1Modulo3);
103
104 addPredicate(0, FALSE);
105 addPredicate(0, TRUE);
106
107 addPredicate(1, FALSE);
108 addPredicate(1, TRUE);
109 addPredicate(1, EVEN);
110 addPredicate(1, IS_ZERO);
111 addPredicate(1, IS_ONE);
112 addPredicate(1, IS_TWO);
113
114 addPredicate(2, FALSE);
115 addPredicate(2, TRUE);
116 addPredicate(2, EVEN);
117 addPredicate(2, LESS);
118 addPredicate(2, EQUAL);
119 addPredicate(2, IS_ZERO);
120 addPredicate(2, IS_ONE);
121 addPredicate(2, IS_TWO);
122
123 addPredicateConstant(new ModelPredicateConstant("in", 2), LESS);
124 }
125
126 public String getDescription() {
127 return "This model has three entities: {}, {{}}, {{}, {{}}}.";
128 }
129
130 public Entity comprehension(final Entity[] array) {
131 Entity result = ZERO;
132 for (int i = 0; i < array.length; i++) {
133 switch (array[i].getValue()) {
134 case 0:
135 if (result.getValue() == 0) {
136 result = ONE;
137 }
138 break;
139 case 1:
140 result = TWO;
141 break;
142 case 2:
143 break;
144 default: throw new RuntimeException("unknown value for entity " + array[i]);
145 }
146 }
147 return result;
148 }
149
150 }
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