[5574] | 1 | #region License Information
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| 2 | /* HeuristicLab
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[11171] | 3 | * Copyright (C) 2002-2014 Heuristic and Evolutionary Algorithms Laboratory (HEAL)
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[5574] | 4 | *
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| 5 | * This file is part of HeuristicLab.
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| 6 | *
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| 7 | * HeuristicLab is free software: you can redistribute it and/or modify
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| 8 | * it under the terms of the GNU General Public License as published by
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| 9 | * the Free Software Foundation, either version 3 of the License, or
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| 10 | * (at your option) any later version.
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| 11 | *
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| 12 | * HeuristicLab is distributed in the hope that it will be useful,
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| 13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of
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| 14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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| 15 | * GNU General Public License for more details.
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| 16 | *
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| 17 | * You should have received a copy of the GNU General Public License
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| 18 | * along with HeuristicLab. If not, see <http://www.gnu.org/licenses/>.
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| 19 | */
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| 20 | #endregion
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| 21 |
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| 22 | using System;
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| 23 | using System.Collections.Generic;
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| 24 | using HeuristicLab.Encodings.SymbolicExpressionTreeEncoding;
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| 25 | using Microsoft.VisualStudio.TestTools.UnitTesting;
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| 26 |
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[9764] | 27 | namespace HeuristicLab.Problems.DataAnalysis.Symbolic.Tests {
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[7915] | 28 |
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[5574] | 29 | [TestClass()]
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[7915] | 30 | public class SymbolicDataAnalysisExpressionTreeSimplifierTest {
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[9785] | 31 |
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[5574] | 32 | [TestMethod]
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[9785] | 33 | [TestCategory("Problems.DataAnalysis")]
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| 34 | [TestProperty("Time", "short")]
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[5574] | 35 | public void SimplifierAxiomsTest() {
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| 36 | SymbolicExpressionImporter importer = new SymbolicExpressionImporter();
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| 37 | SymbolicDataAnalysisExpressionTreeSimplifier simplifier = new SymbolicDataAnalysisExpressionTreeSimplifier();
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| 38 | SymbolicExpressionTreeStringFormatter formatter = new SymbolicExpressionTreeStringFormatter();
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| 39 | #region single argument arithmetics
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| 40 | {
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| 41 | var actualTree = simplifier.Simplify(importer.Import("(+ 1.0)"));
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| 42 | var expectedTree = importer.Import("1.0");
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| 43 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 44 | }
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| 45 | {
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| 46 | var actualTree = simplifier.Simplify(importer.Import("(+ (variable 2.0 a))"));
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| 47 | var expectedTree = importer.Import("(variable 2.0 a)");
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| 48 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 49 | }
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| 50 | {
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| 51 | var actualTree = simplifier.Simplify(importer.Import("(- 1.0)"));
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| 52 | var expectedTree = importer.Import("-1.0");
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| 53 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 54 | }
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| 55 | {
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| 56 | var actualTree = simplifier.Simplify(importer.Import("(- (variable 2.0 a))"));
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| 57 | var expectedTree = importer.Import("(variable -2.0 a)");
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| 58 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 59 | }
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| 60 | {
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| 61 | var actualTree = simplifier.Simplify(importer.Import("(* 2.0)"));
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| 62 | var expectedTree = importer.Import("2.0");
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| 63 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 64 | }
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| 65 | {
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| 66 | var actualTree = simplifier.Simplify(importer.Import("(* (variable 2.0 a))"));
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| 67 | var expectedTree = importer.Import("(variable 2.0 a)");
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| 68 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 69 | }
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| 70 | {
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| 71 | var actualTree = simplifier.Simplify(importer.Import("(/ 2.0)"));
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| 72 | var expectedTree = importer.Import("0.5");
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| 73 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 74 | }
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| 75 | {
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| 76 | var actualTree = simplifier.Simplify(importer.Import("(/ (variable 2.0 a))"));
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| 77 | var expectedTree = importer.Import("(/ 1.0 (variable 2.0 a))");
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| 78 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 79 | }
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| 80 | #endregion
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| 81 | #region aggregation of constants into factors
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| 82 | {
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| 83 | var actualTree = simplifier.Simplify(importer.Import("(* 2.0 (variable 2.0 a))"));
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| 84 | var expectedTree = importer.Import("(variable 4.0 a)");
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| 85 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 86 | }
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| 87 | {
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| 88 | var actualTree = simplifier.Simplify(importer.Import("(/ (variable 2.0 a) 2.0)"));
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| 89 | var expectedTree = importer.Import("(variable 1.0 a)");
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| 90 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 91 | }
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| 92 | {
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| 93 | var actualTree = simplifier.Simplify(importer.Import("(/ (variable 2.0 a) (* 2.0 2.0))"));
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| 94 | var expectedTree = importer.Import("(variable 0.5 a)");
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| 95 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 96 | }
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| 97 | #endregion
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| 98 | #region constant and variable folding
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| 99 | {
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| 100 | var actualTree = simplifier.Simplify(importer.Import("(+ 1.0 2.0)"));
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| 101 | var expectedTree = importer.Import("3.0");
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| 102 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 103 | }
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| 104 | {
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| 105 | var actualTree = simplifier.Simplify(importer.Import("(+ (variable 2.0 a) (variable 2.0 a))"));
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| 106 | var expectedTree = importer.Import("(variable 4.0 a)");
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| 107 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 108 | }
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| 109 | {
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| 110 | var actualTree = simplifier.Simplify(importer.Import("(- (variable 2.0 a) (variable 1.0 a))"));
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| 111 | var expectedTree = importer.Import("(variable 1.0 a)");
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| 112 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 113 | }
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| 114 | {
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| 115 | var actualTree = simplifier.Simplify(importer.Import("(* (variable 2.0 a) (variable 2.0 a))"));
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| 116 | var expectedTree = importer.Import("(* (* (variable 1.0 a) (variable 1.0 a)) 4.0)");
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| 117 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 118 | }
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| 119 | {
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| 120 | var actualTree = simplifier.Simplify(importer.Import("(/ (variable 1.0 a) (variable 2.0 a))"));
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| 121 | var expectedTree = importer.Import("0.5");
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| 122 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 123 | }
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| 124 | #endregion
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| 125 | #region logarithm rules
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| 126 | {
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| 127 | // cancellation
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| 128 | var actualTree = simplifier.Simplify(importer.Import("(log (exp (variable 2.0 a)))"));
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| 129 | var expectedTree = importer.Import("(variable 2.0 a)");
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| 130 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 131 | }
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| 132 | {
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[6774] | 133 | // must not transform logs in this way as we do not know wether both variables are positive
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| 134 | var actualTree = simplifier.Simplify(importer.Import("(log (* (variable 1.0 a) (variable 1.0 b)))"));
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| 135 | var expectedTree = importer.Import("(log (* (variable 1.0 a) (variable 1.0 b)))");
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[5574] | 136 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 137 | }
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| 138 | {
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[6774] | 139 | // must not transform logs in this way as we do not know wether both variables are positive
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| 140 | var actualTree = simplifier.Simplify(importer.Import("(log (/ (variable 1.0 a) (variable 1.0 b)))"));
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| 141 | var expectedTree = importer.Import("(log (/ (variable 1.0 a) (variable 1.0 b)))");
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[5574] | 142 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 143 | }
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| 144 | #endregion
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| 145 | #region exponentiation rules
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| 146 | {
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| 147 | // cancellation
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| 148 | var actualTree = simplifier.Simplify(importer.Import("(exp (log (variable 2.0 a)))"));
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| 149 | var expectedTree = importer.Import("(variable 2.0 a)");
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| 150 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 151 | }
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| 152 | {
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| 153 | // exp transformation
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| 154 | var actualTree = simplifier.Simplify(importer.Import("(exp (+ (variable 2.0 a) (variable 3.0 b)))"));
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| 155 | var expectedTree = importer.Import("(* (exp (variable 2.0 a)) (exp (variable 3.0 b)))");
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| 156 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 157 | }
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| 158 | {
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| 159 | // exp transformation
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| 160 | var actualTree = simplifier.Simplify(importer.Import("(exp (- (variable 2.0 a) (variable 3.0 b)))"));
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| 161 | var expectedTree = importer.Import("(* (exp (variable 2.0 a)) (exp (variable -3.0 b)))");
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| 162 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 163 | }
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[5915] | 164 | {
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| 165 | // exp transformation
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| 166 | var actualTree = simplifier.Simplify(importer.Import("(exp (- (variable 2.0 a) (* (variable 3.0 b) (variable 4.0 c))))"));
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| 167 | var expectedTree = importer.Import("(* (exp (variable 2.0 a)) (exp (* (variable 1.0 b) (variable 1.0 c) -12.0)))");
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| 168 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 169 | }
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| 170 | {
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| 171 | // exp transformation
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| 172 | var actualTree = simplifier.Simplify(importer.Import("(exp (- (variable 2.0 a) (* (variable 3.0 b) (cos (variable 4.0 c)))))"));
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| 173 | var expectedTree = importer.Import("(* (exp (variable 2.0 a)) (exp (* (variable 1.0 b) (cos (variable 4.0 c)) -3.0)))");
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| 174 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 175 | }
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[5574] | 176 | #endregion
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| 177 | #region power rules
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| 178 | {
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| 179 | // cancellation
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| 180 | var actualTree = simplifier.Simplify(importer.Import("(pow (variable 2.0 a) 0.0)"));
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| 181 | var expectedTree = importer.Import("1.0");
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| 182 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 183 | }
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| 184 | {
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| 185 | // fixed point
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| 186 | var actualTree = simplifier.Simplify(importer.Import("(pow (variable 2.0 a) 1.0)"));
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| 187 | var expectedTree = importer.Import("(variable 2.0 a)");
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| 188 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 189 | }
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| 190 | {
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| 191 | // inversion fixed point
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| 192 | var actualTree = simplifier.Simplify(importer.Import("(pow (variable 2.0 a) -1.0)"));
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| 193 | var expectedTree = importer.Import("(/ 1.0 (variable 2.0 a))");
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| 194 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 195 | }
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| 196 | {
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| 197 | // inversion
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| 198 | var actualTree = simplifier.Simplify(importer.Import("(pow (variable 2.0 a) -2.0)"));
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| 199 | var expectedTree = importer.Import("(/ 1.0 (pow (variable 2.0 a) 2.0))");
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| 200 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 201 | }
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| 202 | {
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| 203 | // constant folding
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| 204 | var actualTree = simplifier.Simplify(importer.Import("(pow 3.0 2.0)"));
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| 205 | var expectedTree = importer.Import("9.0");
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| 206 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 207 | }
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| 208 | #endregion
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| 209 | #region root rules
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| 210 | {
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| 211 | // cancellation
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| 212 | var actualTree = simplifier.Simplify(importer.Import("(root (variable 2.0 a) 0.0)"));
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| 213 | var expectedTree = importer.Import("1.0");
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| 214 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 215 | }
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| 216 | {
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| 217 | // fixed point
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| 218 | var actualTree = simplifier.Simplify(importer.Import("(root (variable 2.0 a) 1.0)"));
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| 219 | var expectedTree = importer.Import("(variable 2.0 a)");
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| 220 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 221 | }
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| 222 | {
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| 223 | // inversion fixed point
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| 224 | var actualTree = simplifier.Simplify(importer.Import("(root (variable 2.0 a) -1.0)"));
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| 225 | var expectedTree = importer.Import("(/ 1.0 (variable 2.0 a))");
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| 226 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 227 | }
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| 228 | {
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| 229 | // inversion
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| 230 | var actualTree = simplifier.Simplify(importer.Import("(root (variable 2.0 a) -2.0)"));
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| 231 | var expectedTree = importer.Import("(/ 1.0 (root (variable 2.0 a) 2.0))");
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| 232 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 233 | }
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| 234 | {
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| 235 | // constant folding
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| 236 | var actualTree = simplifier.Simplify(importer.Import("(root 9.0 2.0)"));
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| 237 | var expectedTree = importer.Import("3.0");
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| 238 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 239 | }
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| 240 | #endregion
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| 241 | #region boolean operations
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| 242 | {
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| 243 | // always true and
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| 244 | var actualTree = simplifier.Simplify(importer.Import("(and 1.0 2.0)"));
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| 245 | var expectedTree = importer.Import("1.0");
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| 246 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 247 | }
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| 248 | {
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| 249 | // always false and
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| 250 | var actualTree = simplifier.Simplify(importer.Import("(and 1.0 -2.0)"));
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| 251 | var expectedTree = importer.Import("-1.0");
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| 252 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 253 | }
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| 254 | {
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| 255 | // always true or
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| 256 | var actualTree = simplifier.Simplify(importer.Import("(or -1.0 2.0)"));
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| 257 | var expectedTree = importer.Import("1.0");
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| 258 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 259 | }
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| 260 | {
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| 261 | // always false or
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| 262 | var actualTree = simplifier.Simplify(importer.Import("(or -1.0 -2.0)"));
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| 263 | var expectedTree = importer.Import("-1.0");
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| 264 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 265 | }
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| 266 | {
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| 267 | // constant not
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| 268 | var actualTree = simplifier.Simplify(importer.Import("(not -2.0)"));
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| 269 | var expectedTree = importer.Import("1.0");
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| 270 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 271 | }
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| 272 | {
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| 273 | // constant not
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| 274 | var actualTree = simplifier.Simplify(importer.Import("(not 2.0)"));
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| 275 | var expectedTree = importer.Import("-1.0");
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| 276 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 277 | }
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| 278 | {
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| 279 | // constant not
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| 280 | var actualTree = simplifier.Simplify(importer.Import("(not 0.0)"));
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| 281 | var expectedTree = importer.Import("1.0");
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| 282 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 283 | }
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| 284 | {
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| 285 | // nested nots
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| 286 | var actualTree = simplifier.Simplify(importer.Import("(not (not 1.0))"));
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| 287 | var expectedTree = importer.Import("1.0");
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| 288 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 289 | }
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| 290 | {
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| 291 | // not of non-Boolean argument
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| 292 | var actualTree = simplifier.Simplify(importer.Import("(not (variable 1.0 a))"));
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| 293 | var expectedTree = importer.Import("(not (> (variable 1.0 a) 0.0))");
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| 294 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 295 | }
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| 296 | {
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| 297 | // not Boolean argument
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| 298 | var actualTree = simplifier.Simplify(importer.Import("(not (and (> (variable 1.0 a) 0.0) (> (variable 1.0 a) 0.0)))"));
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| 299 | var expectedTree = importer.Import("(not (and (> (variable 1.0 a) 0.0) (> (variable 1.0 a) 0.0)))");
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| 300 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 301 | }
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| 302 | #endregion
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| 303 | #region conditionals
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| 304 | {
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| 305 | // always false
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| 306 | var actualTree = simplifier.Simplify(importer.Import("(if -1.0 (variable 2.0 a) (variable 3.0 a))"));
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| 307 | var expectedTree = importer.Import("(variable 3.0 a)");
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| 308 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 309 | }
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| 310 | {
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| 311 | // always true
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| 312 | var actualTree = simplifier.Simplify(importer.Import("(if 1.0 (variable 2.0 a) (variable 3.0 a))"));
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| 313 | var expectedTree = importer.Import("(variable 2.0 a)");
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| 314 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 315 | }
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| 316 | {
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| 317 | // always false (0.0)
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| 318 | var actualTree = simplifier.Simplify(importer.Import("(if 0.0 (variable 2.0 a) (variable 3.0 a))"));
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| 319 | var expectedTree = importer.Import("(variable 3.0 a)");
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| 320 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 321 | }
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| 322 | {
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| 323 | // complex constant condition (always false)
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| 324 | var actualTree = simplifier.Simplify(importer.Import("(if (* 1.0 -2.0) (variable 2.0 a) (variable 3.0 a))"));
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| 325 | var expectedTree = importer.Import("(variable 3.0 a)");
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| 326 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 327 | }
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| 328 | {
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| 329 | // complex constant condition (always false)
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| 330 | var actualTree = simplifier.Simplify(importer.Import("(if (/ (variable 1.0 a) (variable -2.0 a)) (variable 2.0 a) (variable 3.0 a))"));
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| 331 | var expectedTree = importer.Import("(variable 3.0 a)");
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| 332 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 333 | }
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| 334 | {
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| 335 | // insertion of relational operator
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| 336 | var actualTree = simplifier.Simplify(importer.Import("(if (variable 1.0 a) (variable 2.0 a) (variable 3.0 a))"));
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| 337 | var expectedTree = importer.Import("(if (> (variable 1.0 a) 0.0) (variable 2.0 a) (variable 3.0 a))");
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| 338 | Assert.AreEqual(formatter.Format(expectedTree), formatter.Format(actualTree));
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| 339 | }
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| 340 | #endregion
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| 341 | }
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| 342 |
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| 343 | private void AssertEqualEnumerations(IEnumerable<double> expected, IEnumerable<double> actual) {
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| 344 | var expectedEnumerator = expected.GetEnumerator();
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| 345 | var actualEnumerator = actual.GetEnumerator();
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| 346 | while (expectedEnumerator.MoveNext() & actualEnumerator.MoveNext()) {
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| 347 | Assert.AreEqual(expectedEnumerator.Current, actualEnumerator.Current, Math.Abs(1E-6 * expectedEnumerator.Current));
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| 348 | }
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| 349 | if (expectedEnumerator.MoveNext() | actualEnumerator.MoveNext())
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| 350 | Assert.Fail("Number of elements in enumerations do not match");
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| 351 | }
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| 352 | }
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| 353 | }
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