- Timestamp:
- 11/13/19 14:50:26 (5 years ago)
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trunk/HeuristicLab.Tests/HeuristicLab.Problems.DataAnalysis-3.4/IntervalTest.cs
r17348 r17350 14 14 [TestCategory("Problems.DataAnalysis")] 15 15 [TestProperty("Time", "short")] 16 public void TestIntervalAddOperation() {16 public void AddIntervalTest() { 17 17 //add [x1,x2] + [y1,y2] = [x1 + y1,x2 + y2] 18 18 … … 28 28 [TestCategory("Problems.DataAnalysis")] 29 29 [TestProperty("Time", "short")] 30 public void TestIntervalSubOperation() {30 public void SubtractIntervalTest() { 31 31 //subtract [x1,x2] − [y1,y2] = [x1 − y2,x2 − y1] 32 32 … … 42 42 [TestCategory("Problems.DataAnalysis")] 43 43 [TestProperty("Time", "short")] 44 public void TestIntervalMutlipyOperation() {44 public void MultiplyIntervalTest() { 45 45 //multiply [x1,x2] * [y1,y2] = [min(x1*y1,x1*y2,x2*y1,x2*y2),max(x1*y1,x1*y2,x2*y1,x2*y2)] 46 46 … … 59 59 [TestCategory("Problems.DataAnalysis")] 60 60 [TestProperty("Time", "short")] 61 public void TestIntervalDivideOperation() {61 public void DivideIntervalTest() { 62 62 //divide [x1, x2] / [y1, y2] = [x1, x2] * (1/[y1, y2]), where 1 / [y1,y2] = [1 / y2,1 / y1] if 0 not in [y_1, y_2]. 63 63 … … 80 80 [TestCategory("Problems.DataAnalysis")] 81 81 [TestProperty("Time", "short")] 82 public void TestIntervalSineOperator() {82 public void SineIntervalTest() { 83 83 //sine depends on interval 84 84 //sin([0, 2*pi]) = [-1, 1] … … 98 98 [TestCategory("Problems.DataAnalysis")] 99 99 [TestProperty("Time", "short")] 100 public void TestIntervalCosineOperator() {100 public void CosineIntervalTest() { 101 101 //Cosine uses sine Interval.Sine(Interval.Subtract(a, new Interval(Math.PI / 2, Math.PI / 2))); 102 102 Assert.AreEqual<Interval>(Interval.Cosine(new Interval(0, 2 * Math.PI)), new Interval(-1, 1)); … … 107 107 [TestCategory("Problems.DataAnalysis")] 108 108 [TestProperty("Time", "short")] 109 public void TestIntervalLogOperator() {109 public void LogIntervalTest() { 110 110 //Log([3, 5]) = [log(3), log(5)] 111 111 Assert.AreEqual<Interval>(new Interval(Math.Log(3), Math.Log(5)), Interval.Logarithm(new Interval(3, 5))); … … 122 122 [TestCategory("Problems.DataAnalysis")] 123 123 [TestProperty("Time", "short")] 124 public void TestIntervalExpOperator() {124 public void ExponentialIntervalTest() { 125 125 //Exp([0, 1]) = [exp(0), exp(1)] 126 126 Assert.AreEqual<Interval>(new Interval(1, Math.Exp(1)), Interval.Exponential(new Interval(0, 1))); … … 131 131 [TestCategory("Problems.DataAnalysis")] 132 132 [TestProperty("Time", "short")] 133 public void TestIntervalSqrOperator() {133 public void SquareIntervalTest() { 134 134 Assert.AreEqual<Interval>(new Interval(1, 4), Interval.Square(new Interval(1, 2))); 135 135 Assert.AreEqual<Interval>(new Interval(1, 4), Interval.Square(new Interval(-2, -1))); … … 140 140 [TestCategory("Problems.DataAnalysis")] 141 141 [TestProperty("Time", "short")] 142 public void TestIntervalSqrtOperator() {142 public void SquarerootIntervalTest() { 143 143 Assert.AreEqual<Interval>(new Interval(1, 2), Interval.SquareRoot(new Interval(1, 4))); 144 144 Assert.AreEqual<Interval>(new Interval(double.NaN, double.NaN), Interval.SquareRoot(new Interval(-4, -1))); … … 148 148 [TestCategory("Problems.DataAnalysis")] 149 149 [TestProperty("Time", "short")] 150 public void TestIntervalCubeOperator() {150 public void CubeIntervalTest() { 151 151 Assert.AreEqual<Interval>(new Interval(1, 8), Interval.Cube(new Interval(1, 2))); 152 152 Assert.AreEqual<Interval>(new Interval(-8, -1), Interval.Cube(new Interval(-2, -1))); … … 157 157 [TestCategory("Problems.DataAnalysis")] 158 158 [TestProperty("Time", "short")] 159 public void TestIntervalCbrtOperator() {159 public void CubeRootIntervalTest() { 160 160 Assert.AreEqual<Interval>(new Interval(1, 2), Interval.CubicRoot(new Interval(1, 8))); 161 161 Assert.AreEqual<Interval>(new Interval(-2, -2), Interval.CubicRoot(new Interval(-8, -8))); … … 170 170 [TestCategory("Problems.DataAnalysis")] 171 171 [TestProperty("Time", "short")] 172 public void TestIntervalAbsoluteOperator() { 173 Assert.AreEqual(new Interval(2, 2), Interval.Absolute(new Interval(-2, -2))); 174 Assert.AreEqual(new Interval(5, 5), Interval.Absolute(new Interval(5, 5))); 175 Assert.AreEqual(new Interval(2, 8), Interval.Absolute(new Interval(2, 8))); 176 Assert.AreEqual(new Interval(5, 14), Interval.Absolute(new Interval(-14, -5))); 177 Assert.AreEqual(new Interval(2, 7), Interval.Absolute(new Interval(-2, 7))); 178 Assert.AreEqual(new Interval(2, 22), Interval.Absolute(new Interval(-22, -2))); 179 Assert.AreEqual(new Interval(6, 22), Interval.Absolute(new Interval(-22, 6))); 180 Assert.AreEqual(new Interval(0, 0), Interval.Absolute(new Interval(0, 0))); 181 Assert.AreEqual(new Interval(0, 2), Interval.Absolute(new Interval(-2, 0))); 182 Assert.AreEqual(new Interval(0, 2), Interval.Absolute(new Interval(0, 2))); 183 } 184 185 [TestMethod] 186 [TestCategory("Problems.DataAnalysis")] 187 [TestProperty("Time", "short")] 188 public void TestIntervalAnalyticalQuotient() { 172 public void AbsoluteIntervalTest() { 173 Assert.AreEqual(new Interval(2, 5), Interval.Absolute(new Interval(-5, -2))); 174 Assert.AreEqual(new Interval(2, 5), Interval.Absolute(new Interval(2, 5))); 175 Assert.AreEqual(new Interval(0, 3), Interval.Absolute(new Interval(-3, 0))); 176 Assert.AreEqual(new Interval(0, 5), Interval.Absolute(new Interval(0, 5))); 177 Assert.AreEqual(new Interval(0, 5), Interval.Absolute(new Interval(-2, 5))); 178 } 179 180 [TestMethod] 181 [TestCategory("Problems.DataAnalysis")] 182 [TestProperty("Time", "short")] 183 public void AnalyticalQuotientIntervalTest() { 184 //Analytical Quotient ==> a / sqrt(b^2 + 1) 185 var aPos = new Interval(3, 5); 186 var aZero = new Interval(-3, 5); 187 var aNeg = new Interval(-5, -3); 188 189 var bPos = new Interval(2, 4); 190 var bZero = new Interval(-2, 4); 191 var bNeg = new Interval(-4, -2); 192 189 193 //Second interval goes over zero 190 Assert.AreEqual(new Interval(-4, 2), Interval.AnalyticalQuotient(new Interval(-4, 2), new Interval(0, 5))); 191 Assert.AreEqual(new Interval(-4, 2), Interval.AnalyticalQuotient(new Interval(-4, 2), new Interval(-4, 0))); 192 Assert.AreEqual(new Interval(-4, 2), Interval.AnalyticalQuotient(new Interval(-4, 2), new Interval(-2, 4))); 193 Assert.AreEqual(new Interval(-4, -2), Interval.AnalyticalQuotient(new Interval(-4, -2), new Interval(0, 5))); 194 Assert.AreEqual(new Interval(-4, -2), Interval.AnalyticalQuotient(new Interval(-4, -2), new Interval(-4, 0))); 195 Assert.AreEqual(new Interval(-4, -2), Interval.AnalyticalQuotient(new Interval(-4, -2), new Interval(-2, 4))); 196 Assert.AreEqual(new Interval(3, 7), Interval.AnalyticalQuotient(new Interval(3, 7), new Interval(0, 5))); 197 Assert.AreEqual(new Interval(3, 7), Interval.AnalyticalQuotient(new Interval(3, 7), new Interval(-4, 0))); 198 Assert.AreEqual(new Interval(3, 7), Interval.AnalyticalQuotient(new Interval(3, 7), new Interval(-2, 4))); 199 Assert.AreEqual(new Interval(0, 0), Interval.AnalyticalQuotient(new Interval(0, 0), new Interval(0, 5))); 200 Assert.AreEqual(new Interval(-4, -4), Interval.AnalyticalQuotient(new Interval(-4, -4), new Interval(-4, 0))); 201 Assert.AreEqual(new Interval(4, 4), Interval.AnalyticalQuotient(new Interval(4, 4), new Interval(-2, 4))); 202 203 //First interval goes over zero 204 Assert.AreEqual(new Interval(-2.0/Math.Sqrt(5), 5.0 / Math.Sqrt(5)), Interval.AnalyticalQuotient(new Interval(-2, 5), new Interval(-5, -2))); 205 Assert.AreEqual(new Interval(-2.0 / Math.Sqrt(5), 5.0 / Math.Sqrt(5)), Interval.AnalyticalQuotient(new Interval(-2, 5), new Interval(2, 5))); 206 Assert.AreEqual(new Interval(2.0/Math.Sqrt(26), 5.0/Math.Sqrt(5)), Interval.AnalyticalQuotient(new Interval(2, 5), new Interval(-5, -2))); 207 Assert.AreEqual(new Interval(2.0 / Math.Sqrt(26), 5.0 / Math.Sqrt(5)), Interval.AnalyticalQuotient(new Interval(2, 5), new Interval(2, 5))); 208 Assert.AreEqual(new Interval(-5.0/Math.Sqrt(5), -2.0/Math.Sqrt(26)), Interval.AnalyticalQuotient(new Interval(-5, -2), new Interval(-5, -2))); 209 Assert.AreEqual(new Interval(-5.0 / Math.Sqrt(5), -2.0 / Math.Sqrt(26)), Interval.AnalyticalQuotient(new Interval(-5, -2), new Interval(2, 5))); 194 Assert.AreEqual(new Interval(aPos.LowerBound/Math.Sqrt(17), aPos.UpperBound), Interval.AnalyticalQuotient(aPos, bZero)); 195 Assert.AreEqual(new Interval(aZero.LowerBound, aZero.UpperBound), Interval.AnalyticalQuotient(aZero, bZero)); 196 Assert.AreEqual(new Interval(aNeg.LowerBound, aNeg.UpperBound/Math.Sqrt(17)), Interval.AnalyticalQuotient(aNeg, bZero)); 197 //Second interval is positive 198 Assert.AreEqual(new Interval(aPos.LowerBound/Math.Sqrt(17), aPos.UpperBound/Math.Sqrt(5)), Interval.AnalyticalQuotient(aPos, bPos)); 199 Assert.AreEqual(new Interval(aZero.LowerBound/Math.Sqrt(5), aZero.UpperBound/Math.Sqrt(5)), Interval.AnalyticalQuotient(aZero, bPos)); 200 Assert.AreEqual(new Interval(aNeg.LowerBound/Math.Sqrt(5), aNeg.UpperBound/Math.Sqrt(17)), Interval.AnalyticalQuotient(aNeg, bPos)); 201 //Second interval is negative 202 Assert.AreEqual(new Interval(aPos.LowerBound/Math.Sqrt(17), aPos.UpperBound/Math.Sqrt(5)), Interval.AnalyticalQuotient(aPos, bNeg)); 203 Assert.AreEqual(new Interval(aZero.LowerBound/Math.Sqrt(5), aZero.UpperBound/Math.Sqrt(5)), Interval.AnalyticalQuotient(aZero, bNeg)); 204 Assert.AreEqual(new Interval(aNeg.LowerBound/Math.Sqrt(5), aNeg.UpperBound/Math.Sqrt(17)), Interval.AnalyticalQuotient(aNeg, bNeg)); 205 } 206 207 [TestMethod] 208 [TestCategory("Problems.DataAnalysis")] 209 [TestProperty("Time", "short")] 210 public void IsNegativeIntervalTest() { 211 Assert.IsTrue(new Interval(-2, -1).IsNegative); 212 Assert.IsFalse(new Interval(-2, 0).IsNegative); 213 Assert.IsFalse(new Interval(-2, 2).IsNegative); 214 Assert.IsFalse(new Interval(2, 4).IsNegative); 215 } 216 217 [TestMethod] 218 [TestCategory("Problems.DataAnalysis")] 219 [TestProperty("Time", "short")] 220 public void IsPositiveIntervalTest() { 221 Assert.IsTrue(new Interval(3, 5).IsPositive); 222 Assert.IsFalse(new Interval(0, 5).IsPositive); 223 Assert.IsFalse(new Interval(-1, 5).IsPositive); 224 Assert.IsFalse(new Interval(-5, -2).IsPositive); 225 } 226 227 [TestMethod] 228 [TestCategory("Problems.DataAnalysis")] 229 [TestProperty("Time", "short")] 230 public void IsAlmostIntervalTest() { 231 var negativeLowerBound = -2E-13; 232 var negativeUpperBound = -1E-13; 233 var positiveLowerBound = 3E-13; 234 var positiveUpperBound = 5E-13; 235 236 var negativeInterval = new Interval(negativeLowerBound, negativeUpperBound); 237 var positiveInterval = new Interval(positiveLowerBound, positiveUpperBound); 238 var zeroInterval = new Interval(negativeUpperBound, positiveLowerBound); 239 240 //Check for right-shift of negative interval 241 Assert.AreEqual(negativeUpperBound, negativeInterval.LowerBound); 242 Assert.AreEqual(negativeUpperBound, negativeInterval.UpperBound); 243 //Check for left-shift of positive interval 244 Assert.AreEqual(positiveLowerBound, positiveInterval.LowerBound); 245 Assert.AreEqual(positiveLowerBound, positiveInterval.UpperBound); 246 //Check for setting interval to zero 247 Assert.AreEqual(0, zeroInterval.LowerBound); 248 Assert.AreEqual(0, zeroInterval.UpperBound); 249 210 250 } 211 251 }
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