| 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 ThreeDynamicModel extends DynamicModel { |
| 26 | |
| 27 | /** "Zero" or empty set. */ |
| 28 | public static final Entity ZERO = new Entity(0, "{}", "{} or empty set"); |
| 29 | |
| 30 | /** "One" or set that contains the empty set. */ |
| 31 | public static final Entity ONE = new Entity(1, "{{}}", "{{}} or 1"); |
| 32 | |
| 33 | /** "Two" or set that contains "zero" and "one". */ |
| 34 | public static final Entity TWO = new Entity(2, "{{}, {{}}}", "{{}, {{}}} or 2"); |
| 35 | |
| 36 | /** Map to empty class. */ |
| 37 | public static final Function FUNCTION_ZERO = Function.createConstant(ZERO); |
| 38 | |
| 39 | /** Map to 1. */ |
| 40 | public static final Function FUNCTION_ONE = Function.createConstant(ONE); |
| 41 | |
| 42 | /** Map to 2. */ |
| 43 | public static final Function FUNCTION_TWO = Function.createConstant(TWO); |
| 44 | |
| 45 | /** Return true if all values are zero. */ |
| 46 | public static final Predicate IS_ZERO = Predicate.isEntity(ZERO); |
| 47 | |
| 48 | /** Return true if all values are 1. */ |
| 49 | public static final Predicate IS_ONE = Predicate.isEntity(ONE); |
| 50 | |
| 51 | /** Return true if all values are 2. */ |
| 52 | public static final Predicate IS_TWO = Predicate.isEntity(TWO); |
| 53 | |
| 54 | /** Map to one. */ |
| 55 | /** Modulo 3. */ |
| 56 | private final Function functionModulo3 = new Function(0, 99, "% 3", "modulo 3") { |
| 57 | public Entity map(final Entity[] entities) { |
| 58 | int result = 0; |
| 59 | for (int i = 0; i < entities.length; i++) { |
| 60 | result += entities[i].getValue() % 3; |
| 61 | } |
| 62 | result = result % 3; |
| 63 | return getEntity(result); |
| 64 | } |
| 65 | }; |
| 66 | |
| 67 | /** +1 Modulo 3. */ |
| 68 | private final Function functionPlus1Modulo3 = new Function(0, 99, "+1 % 3", "plus 1 modulo 3") { |
| 69 | public Entity map(final Entity[] entities) { |
| 70 | int result = 1; |
| 71 | for (int i = 0; i < entities.length; i++) { |
| 72 | result += entities[i].getValue() % 3; |
| 73 | } |
| 74 | result = result % 3; |
| 75 | return getEntity(result); |
| 76 | } |
| 77 | }; |
| 78 | |
| 79 | |
| 80 | /** |
| 81 | * Constructor. |
| 82 | */ |
| 83 | public ThreeDynamicModel() { |
| 84 | super("three elements"); |
| 85 | |
| 86 | addEntity(ZERO); |
| 87 | addEntity(ONE); |
| 88 | addEntity(TWO); |
| 89 | |
| 90 | addFunction(0, FUNCTION_ZERO); |
| 91 | addFunction(0, FUNCTION_ONE); |
| 92 | addFunction(0, FUNCTION_TWO); |
| 93 | |
| 94 | addFunction(1, FUNCTION_ZERO); |
| 95 | addFunction(1, FUNCTION_ONE); |
| 96 | addFunction(1, functionModulo3); |
| 97 | addFunction(1, functionPlus1Modulo3); |
| 98 | |
| 99 | 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 | } |