Changeset 17908


Ignore:
Timestamp:
03/17/21 09:15:14 (16 months ago)
Author:
chaider
Message:

#3073 Changed Interval tests, set delta to check bounds against each other

File:
1 edited

Legend:

Unmodified
Added
Removed
  • trunk/HeuristicLab.Tests/HeuristicLab.Problems.DataAnalysis-3.4/IntervalTest.cs

    r17754 r17908  
    1212    private readonly Interval e = new Interval(4, 6);
    1313
     14    private void CheckLowerAndUpperBoundOfInterval(Interval expected, Interval calculated) {
     15      var lowerBoundExpected = expected.LowerBound;
     16      var upperBoundExpected = expected.UpperBound;
     17      var lowerBoundCalculated = calculated.LowerBound;
     18      var upperBoundCalculated = calculated.UpperBound;
     19
     20      if(double.IsNaN(lowerBoundExpected) && double.IsNaN(lowerBoundCalculated)) {
     21        Assert.IsTrue(double.IsNaN(lowerBoundExpected) && double.IsNaN(lowerBoundCalculated));
     22      } else if (double.IsNaN(upperBoundExpected) && double.IsNaN(upperBoundCalculated)) {
     23        Assert.IsTrue(double.IsNaN(upperBoundExpected) && double.IsNaN(upperBoundCalculated));
     24      } else {
     25        Assert.AreEqual(lowerBoundExpected, lowerBoundCalculated, 1e-9);
     26        Assert.AreEqual(upperBoundExpected, upperBoundCalculated, 1e-9);
     27      }
     28    }
     29
    1430    [TestMethod]
    1531    [TestCategory("Problems.DataAnalysis")]
     
    3349
    3450      //[-1, 1] - [-2, 2] = [-3, 3]
    35       Assert.AreEqual<Interval>(Interval.Subtract(a, b), new Interval(-3, 3));
     51      CheckLowerAndUpperBoundOfInterval(Interval.Subtract(a, b), new Interval(-3, 3));
    3652      //([-1, 1] - [-2, 2]) - [0, 3] = [-6, 3]
    37       Assert.AreEqual<Interval>(Interval.Subtract(Interval.Subtract(a, b), c), new Interval(-6, 3));
     53      CheckLowerAndUpperBoundOfInterval(Interval.Subtract(Interval.Subtract(a, b), c), new Interval(-6, 3));
    3854      //([-1, 1] - [0, 3]) - [-2, 2] = [-6, 3]
    39       Assert.AreEqual<Interval>(Interval.Subtract(Interval.Subtract(a, c), b), new Interval(-6, 3));
     55      CheckLowerAndUpperBoundOfInterval(Interval.Subtract(Interval.Subtract(a, c), b), new Interval(-6, 3));
    4056    }
    4157
     
    4763
    4864      //[-1, 1] * [-2, 2] = [-2, 2]
    49       Assert.AreEqual<Interval>(Interval.Multiply(a, b), new Interval(-2, 2));
     65      CheckLowerAndUpperBoundOfInterval(Interval.Multiply(a, b), new Interval(-2, 2));
    5066      //([-1, 1] * [-2, 2]) * [0, 3] = [-6, 6]
    51       Assert.AreEqual<Interval>(Interval.Multiply(Interval.Multiply(a, b), c), new Interval(-6, 6));
     67      CheckLowerAndUpperBoundOfInterval(Interval.Multiply(Interval.Multiply(a, b), c), new Interval(-6, 6));
    5268      //([-1, 1] * [0, 3]) * [-2, 2] = [-6, 6]
    53       Assert.AreEqual<Interval>(Interval.Multiply(Interval.Multiply(a, c), b), new Interval(-6, 6));
     69      CheckLowerAndUpperBoundOfInterval(Interval.Multiply(Interval.Multiply(a, c), b), new Interval(-6, 6));
    5470
    5571      // [-2, 0] * [-2, 0]  = [0, 4]
    56       Assert.AreEqual<Interval>(new Interval(0, 4), Interval.Multiply(new Interval(-2, 0), new Interval(-2, 0)));
     72      CheckLowerAndUpperBoundOfInterval(new Interval(0, 4), Interval.Multiply(new Interval(-2, 0), new Interval(-2, 0)));
    5773    }
    5874
     
    6480
    6581      //[4, 6] / [1, 3] = [4/3, 6]
    66       Assert.AreEqual<Interval>(Interval.Divide(e, d), new Interval(4.0 / 3.0, 6));
     82      CheckLowerAndUpperBoundOfInterval(Interval.Divide(e, d), new Interval(4.0 / 3.0, 6));
    6783      //([4, 6] / [1, 3]) / [1, 3] = [4/9, 6]
    68       Assert.AreEqual<Interval>(Interval.Divide(Interval.Divide(e, d), d), new Interval(4.0 / 9.0, 6));
     84      CheckLowerAndUpperBoundOfInterval(Interval.Divide(Interval.Divide(e, d), d), new Interval(4.0 / 9.0, 6));
    6985      //[4, 6] / [0, 3] = [4/3, +Inf]
    70       Assert.AreEqual<Interval>(Interval.Divide(e, c), new Interval(4.0 / 3.0, double.PositiveInfinity));
     86      CheckLowerAndUpperBoundOfInterval(Interval.Divide(e, c), new Interval(4.0 / 3.0, double.PositiveInfinity));
    7187      //[-1, 1] / [0, 3] = [+Inf, -Inf]
    72       Assert.AreEqual<Interval>(Interval.Divide(a, c), new Interval(double.NegativeInfinity, double.PositiveInfinity));
     88      CheckLowerAndUpperBoundOfInterval(Interval.Divide(a, c), new Interval(double.NegativeInfinity, double.PositiveInfinity));
    7389      //Devision by 0 ==> IsInfiniteOrUndefined == true
    7490      Assert.IsTrue(Interval.Divide(e, c).IsInfiniteOrUndefined);
    7591      //Devision by 0 ==> IsInfiniteOrUndefined == true
    7692      Assert.IsTrue(Interval.Divide(a, c).IsInfiniteOrUndefined);
    77       Assert.AreEqual<Interval>(Interval.Divide(d, b), new Interval(double.NegativeInfinity, double.PositiveInfinity));
     93      CheckLowerAndUpperBoundOfInterval(Interval.Divide(d, b), new Interval(double.NegativeInfinity, double.PositiveInfinity));
    7894    }
    7995
     
    84100      //sine depends on interval
    85101      //sin([0, 2*pi]) = [-1, 1]
    86       Assert.AreEqual<Interval>(Interval.Sine(new Interval(0, 2 * Math.PI)), new Interval(-1, 1));
     102      CheckLowerAndUpperBoundOfInterval(Interval.Sine(new Interval(0, 2 * Math.PI)), new Interval(-1, 1));
    87103      //sin([-pi/2, pi/2]) = [sin(-pi/2), sin(pi/2)]
    88       Assert.AreEqual<Interval>(Interval.Sine(new Interval(-1 * Math.PI / 2, Math.PI / 2)), new Interval(-1, 1));
     104      CheckLowerAndUpperBoundOfInterval(Interval.Sine(new Interval(-1 * Math.PI / 2, Math.PI / 2)), new Interval(-1, 1));
    89105      //sin([0, pi/2]) = [sin(0), sin(pi/2)]
    90       Assert.AreEqual<Interval>(Interval.Sine(new Interval(0, Math.PI / 2)), new Interval(0, 1));
     106      CheckLowerAndUpperBoundOfInterval(Interval.Sine(new Interval(0, Math.PI / 2)), new Interval(0, 1));
    91107      //sin([pi, 3*pi/2]) = [sin(pi), sin(3*pi/2)]
    92       Assert.AreEqual<Interval>(Interval.Sine(new Interval(Math.PI, 3 * Math.PI / 2)), new Interval(-1, 0));
    93       Assert.AreEqual<Interval>(Interval.Sine(new Interval(1, 2)), new Interval(Math.Min(Math.Sin(1), Math.Sin(2)), 1));
    94       Assert.AreEqual<Interval>(Interval.Sine(new Interval(1, 3)), new Interval(Math.Min(Math.Sin(1), Math.Sin(3)), 1));
    95       Assert.AreEqual<Interval>(Interval.Sine(new Interval(Math.PI, 5 * Math.PI / 2)), new Interval(-1, 1));
     108      CheckLowerAndUpperBoundOfInterval(Interval.Sine(new Interval(Math.PI, 3 * Math.PI / 2)), new Interval(-1, 0));
     109      CheckLowerAndUpperBoundOfInterval(Interval.Sine(new Interval(1, 2)), new Interval(Math.Min(Math.Sin(1), Math.Sin(2)), 1));
     110      CheckLowerAndUpperBoundOfInterval(Interval.Sine(new Interval(1, 3)), new Interval(Math.Min(Math.Sin(1), Math.Sin(3)), 1));
     111      CheckLowerAndUpperBoundOfInterval(Interval.Sine(new Interval(Math.PI, 5 * Math.PI / 2)), new Interval(-1, 1));
    96112    }
    97113
     
    101117    public void CosineIntervalTest() {
    102118      //Cosine uses sine Interval.Sine(Interval.Subtract(a, new Interval(Math.PI / 2, Math.PI / 2)));
    103       Assert.AreEqual<Interval>(Interval.Cosine(new Interval(0, 2 * Math.PI)), new Interval(-1, 1));
    104       Assert.AreEqual<Interval>(new Interval(-1, 1), Interval.Cosine(new Interval(Math.PI, 4 * Math.PI / 2)));
     119      CheckLowerAndUpperBoundOfInterval(Interval.Cosine(new Interval(0, 2 * Math.PI)), new Interval(-1, 1));
     120      CheckLowerAndUpperBoundOfInterval(new Interval(-1, 1), Interval.Cosine(new Interval(Math.PI, 4 * Math.PI / 2)));
    105121    }
    106122
     
    110126    public void LogIntervalTest() {
    111127      //Log([3, 5]) = [log(3), log(5)]
    112       Assert.AreEqual<Interval>(new Interval(Math.Log(3), Math.Log(5)), Interval.Logarithm(new Interval(3, 5)));
     128      CheckLowerAndUpperBoundOfInterval(new Interval(Math.Log(3), Math.Log(5)), Interval.Logarithm(new Interval(3, 5)));
    113129      //Log([0.5, 1]) = [log(0.5), log(1)]
    114       Assert.AreEqual<Interval>(new Interval(Math.Log(0.5), 0), Interval.Logarithm(new Interval(0.5, 1)));
     130      CheckLowerAndUpperBoundOfInterval(new Interval(Math.Log(0.5), 0), Interval.Logarithm(new Interval(0.5, 1)));
    115131      //Log([-1, 5]) = [NaN, log(5)]
    116132      var result = Interval.Logarithm(new Interval(-1, 5));
    117       Assert.AreEqual<Interval>(new Interval(double.NaN, Math.Log(5)),result);
     133      CheckLowerAndUpperBoundOfInterval(new Interval(double.NaN, Math.Log(5)),result);
    118134      Assert.IsTrue(result.IsInfiniteOrUndefined);
    119135    }
     
    125141    public void ExponentialIntervalTest() {
    126142      //Exp([0, 1]) = [exp(0), exp(1)]
    127       Assert.AreEqual<Interval>(new Interval(1, Math.Exp(1)), Interval.Exponential(new Interval(0, 1)));
     143      CheckLowerAndUpperBoundOfInterval(new Interval(1, Math.Exp(1)), Interval.Exponential(new Interval(0, 1)));
    128144    }
    129145
     
    133149    [TestProperty("Time", "short")]
    134150    public void SquareIntervalTest() {
    135       Assert.AreEqual<Interval>(new Interval(1, 4), Interval.Square(new Interval(1, 2)));
    136       Assert.AreEqual<Interval>(new Interval(1, 4), Interval.Square(new Interval(-2, -1)));
    137       Assert.AreEqual<Interval>(new Interval(0, 4), Interval.Square(new Interval(-2, 2)));
     151      CheckLowerAndUpperBoundOfInterval(new Interval(1, 4), Interval.Square(new Interval(1, 2)));
     152      CheckLowerAndUpperBoundOfInterval(new Interval(1, 4), Interval.Square(new Interval(-2, -1)));
     153      CheckLowerAndUpperBoundOfInterval(new Interval(0, 4), Interval.Square(new Interval(-2, 2)));
    138154    }
    139155
     
    142158    [TestProperty("Time", "short")]
    143159    public void SquarerootIntervalTest() {
    144       Assert.AreEqual<Interval>(new Interval(-2, 2), Interval.SquareRoot(new Interval(1, 4)));
    145       Assert.AreEqual<Interval>(new Interval(double.NaN, double.NaN), Interval.SquareRoot(new Interval(-4, -1)));
     160      CheckLowerAndUpperBoundOfInterval(new Interval(-2, 2), Interval.SquareRoot(new Interval(1, 4)));
     161      CheckLowerAndUpperBoundOfInterval(new Interval(double.NaN, double.NaN), Interval.SquareRoot(new Interval(-4, -1)));
    146162    }
    147163
     
    150166    [TestProperty("Time", "short")]
    151167    public void CubeIntervalTest() {
    152       Assert.AreEqual<Interval>(new Interval(1, 8), Interval.Cube(new Interval(1, 2)));
    153       Assert.AreEqual<Interval>(new Interval(-8, -1), Interval.Cube(new Interval(-2, -1)));
    154       Assert.AreEqual<Interval>(new Interval(-8, 8), Interval.Cube(new Interval(-2, 2)));
     168      CheckLowerAndUpperBoundOfInterval(new Interval(1, 8), Interval.Cube(new Interval(1, 2)));
     169      CheckLowerAndUpperBoundOfInterval(new Interval(-8, -1), Interval.Cube(new Interval(-2, -1)));
     170      CheckLowerAndUpperBoundOfInterval(new Interval(-8, 8), Interval.Cube(new Interval(-2, 2)));
    155171    }
    156172
     
    159175    [TestProperty("Time", "short")]
    160176    public void CubeRootIntervalTest() {
    161       Assert.AreEqual<Interval>(new Interval(1, 2), Interval.CubicRoot(new Interval(1, 8)));
    162       Assert.AreEqual<Interval>(new Interval(-2, -2), Interval.CubicRoot(new Interval(-8, -8)));
    163       Assert.AreEqual<Interval>(new Interval(-2, 2), Interval.CubicRoot(new Interval(-8, 8)));
     177      CheckLowerAndUpperBoundOfInterval(new Interval(1, 2), Interval.CubicRoot(new Interval(1, 8)));
     178      CheckLowerAndUpperBoundOfInterval(new Interval(-2, -2), Interval.CubicRoot(new Interval(-8, -8)));
     179      CheckLowerAndUpperBoundOfInterval(new Interval(-2, 2), Interval.CubicRoot(new Interval(-8, 8)));
    164180      Assert.AreEqual(new Interval(2, 2), Interval.CubicRoot(new Interval(8, 8)));
    165181      Assert.AreEqual(new Interval(-Math.Pow(6, 1.0 / 3), 2), Interval.CubicRoot(new Interval(-6, 8)));
     
    313329    [TestProperty("Time", "short")]
    314330    public void GeometricTest() {
    315       Assert.AreEqual(new Interval(-1, -0.936456687290796), Interval.Cosine(new Interval(3, 3.5)));
    316       Assert.AreEqual(new Interval(-1, -0.936456687290796), Interval.Cosine(new Interval(-3.5, -3)));
    317       Assert.AreEqual(new Interval(-1, 1), Interval.Cosine(new Interval(-3.5, 3)));
    318       Assert.AreEqual(new Interval(-0.839071529076452, 0.843853958732493), Interval.Cosine(new Interval(10, 12)));
    319       Assert.AreEqual(new Interval(0.136737218207833, 0.907446781450197), Interval.Cosine(new Interval(13, 14)));
    320       Assert.AreEqual(new Interval(-0.839071529076452, 1), Interval.Cosine(new Interval(10, 14)));
    321       Assert.AreEqual(new Interval(-1, 0.136737218207833), Interval.Cosine(new Interval(14, 16)));
    322       Assert.AreEqual(new Interval(-0.839071529076452, 0.004425697988051), Interval.Cosine(new Interval(-11, -10)));
    323       Assert.AreEqual(new Interval(0.136737218207833, 0.907446781450197), Interval.Cosine(new Interval(-14, -13)));
    324       Assert.AreEqual(new Interval(-1, 0.136737218207833), Interval.Cosine(new Interval(-16, -14)));
    325       Assert.AreEqual(new Interval(0.101585703696621, 1), Interval.Cosine(new Interval(-102, -100)));
    326       Assert.AreEqual(new Interval(-1, 1), Interval.Cosine(new Interval(4.6e15, 4.7e15)));
    327       Assert.AreEqual(new Interval(0.87758256189037265, 0.87758256189037276), Interval.Cosine(new Interval(0.5, 0.5)));
    328       Assert.AreEqual(new Interval(-0.09904103659872825, 0.8775825618903728), Interval.Cosine(new Interval(0.5, 1.67)));
    329       Assert.AreEqual(new Interval(-1.0, 0.77556587851025016), Interval.Cosine(new Interval(2.1, 5.6)));
    330       Assert.AreEqual(new Interval(-1.0, 1.0), Interval.Cosine(new Interval(0.5, 8.5)));
    331       Assert.AreEqual(new Interval(-1.0, -0.09904103659872801), Interval.Cosine(new Interval(1.67, 3.2)));
    332 
    333 
    334       Assert.AreEqual(new Interval(double.NegativeInfinity, double.PositiveInfinity), Interval.Tangens(new Interval(double.NegativeInfinity, double.PositiveInfinity)));
    335       Assert.AreEqual(new Interval(0, 1.55740772465490223051), Interval.Tangens(new Interval(0, 1)));
    336       Assert.AreEqual(new Interval(-1.55740772465490223051, 0), Interval.Tangens(new Interval(-1, 0)));
    337       Assert.AreEqual(new Interval(double.NegativeInfinity, double.PositiveInfinity), Interval.Tangens(new Interval(-2, -1)));
    338       Assert.AreEqual(new Interval(double.NegativeInfinity, double.PositiveInfinity), Interval.Tangens(new Interval(202, 203)));
    339       Assert.AreEqual(new Interval(0.54630248984379048, 0.5463024898437906), Interval.Tangens(new Interval(0.5, 0.5)));
    340       Assert.AreEqual(new Interval(double.NegativeInfinity, double.PositiveInfinity), Interval.Tangens(new Interval(0.5,
     331      CheckLowerAndUpperBoundOfInterval(new Interval(-1, -0.936456687290796), Interval.Cosine(new Interval(3, 3.5)));
     332      CheckLowerAndUpperBoundOfInterval(new Interval(-1, -0.936456687290796), Interval.Cosine(new Interval(-3.5, -3)));
     333      CheckLowerAndUpperBoundOfInterval(new Interval(-1, 1), Interval.Cosine(new Interval(-3.5, 3)));
     334      CheckLowerAndUpperBoundOfInterval(new Interval(-0.839071529076452, 0.843853958732493), Interval.Cosine(new Interval(10, 12)));
     335      CheckLowerAndUpperBoundOfInterval(new Interval(0.136737218207833, 0.907446781450197), Interval.Cosine(new Interval(13, 14)));
     336      CheckLowerAndUpperBoundOfInterval(new Interval(-0.839071529076452, 1), Interval.Cosine(new Interval(10, 14)));
     337      CheckLowerAndUpperBoundOfInterval(new Interval(-1, 0.136737218207833), Interval.Cosine(new Interval(14, 16)));
     338      CheckLowerAndUpperBoundOfInterval(new Interval(-0.839071529076452, 0.004425697988051), Interval.Cosine(new Interval(-11, -10)));
     339      CheckLowerAndUpperBoundOfInterval(new Interval(0.136737218207833, 0.907446781450197), Interval.Cosine(new Interval(-14, -13)));
     340      CheckLowerAndUpperBoundOfInterval(new Interval(-1, 0.136737218207833), Interval.Cosine(new Interval(-16, -14)));
     341      CheckLowerAndUpperBoundOfInterval(new Interval(0.101585703696621, 1), Interval.Cosine(new Interval(-102, -100)));
     342      CheckLowerAndUpperBoundOfInterval(new Interval(-1, 1), Interval.Cosine(new Interval(4.6e15, 4.7e15)));
     343      CheckLowerAndUpperBoundOfInterval(new Interval(0.87758256189037265, 0.87758256189037276), Interval.Cosine(new Interval(0.5, 0.5)));
     344      CheckLowerAndUpperBoundOfInterval(new Interval(-0.09904103659872825, 0.8775825618903728), Interval.Cosine(new Interval(0.5, 1.67)));
     345      CheckLowerAndUpperBoundOfInterval(new Interval(-1.0, 0.77556587851025016), Interval.Cosine(new Interval(2.1, 5.6)));
     346      CheckLowerAndUpperBoundOfInterval(new Interval(-1.0, 1.0), Interval.Cosine(new Interval(0.5, 8.5)));
     347      CheckLowerAndUpperBoundOfInterval(new Interval(-1.0, -0.09904103659872801), Interval.Cosine(new Interval(1.67, 3.2)));
     348
     349      CheckLowerAndUpperBoundOfInterval(new Interval(double.NegativeInfinity, double.PositiveInfinity), Interval.Tangens(new Interval(double.NegativeInfinity, double.PositiveInfinity)));
     350      CheckLowerAndUpperBoundOfInterval(new Interval(0, 1.55740772465490223051), Interval.Tangens(new Interval(0, 1)));
     351      CheckLowerAndUpperBoundOfInterval(new Interval(-1.55740772465490223051, 0), Interval.Tangens(new Interval(-1, 0)));
     352      CheckLowerAndUpperBoundOfInterval(new Interval(double.NegativeInfinity, double.PositiveInfinity), Interval.Tangens(new Interval(-2, -1)));
     353      CheckLowerAndUpperBoundOfInterval(new Interval(double.NegativeInfinity, double.PositiveInfinity), Interval.Tangens(new Interval(202, 203)));
     354      CheckLowerAndUpperBoundOfInterval(new Interval(0.54630248984379048, 0.5463024898437906), Interval.Tangens(new Interval(0.5, 0.5)));
     355      CheckLowerAndUpperBoundOfInterval(new Interval(double.NegativeInfinity, double.PositiveInfinity), Interval.Tangens(new Interval(0.5,
    341356        1.67)));
    342       //Assert.AreEqual(new Interval(-10.047182299210307, 0.5847385445957865), Interval.Tangens(new Interval(1.67, 3.2)));
    343       Assert.AreEqual(new Interval(double.NegativeInfinity, double.PositiveInfinity), Interval.Tangens(new Interval(
     357
     358      CheckLowerAndUpperBoundOfInterval(new Interval(double.NegativeInfinity, double.PositiveInfinity), Interval.Tangens(new Interval(
    344359        6.638314112824137, 8.38263151220128)));
    345360
    346 
    347 
    348       Assert.AreEqual(new Interval(0.47942553860420295, 0.47942553860420301), Interval.Sine(new Interval(0.5, 0.5)));
    349       Assert.AreEqual(new Interval(4.7942553860420295e-01, 1.0), Interval.Sine(new Interval(0.5, 1.67)));
    350       Assert.AreEqual(new Interval(-5.8374143427580093e-02, 9.9508334981018021e-01), Interval.Sine(new Interval(1.67,
     361      CheckLowerAndUpperBoundOfInterval(new Interval(0.47942553860420295, 0.47942553860420301), Interval.Sine(new Interval(0.5, 0.5)));
     362      CheckLowerAndUpperBoundOfInterval(new Interval(4.7942553860420295e-01, 1.0), Interval.Sine(new Interval(0.5, 1.67)));
     363      CheckLowerAndUpperBoundOfInterval(new Interval(-5.8374143427580093e-02, 9.9508334981018021e-01), Interval.Sine(new Interval(1.67,
    351364        3.2)));
    352       Assert.AreEqual(new Interval(-1.0, 0.863209366648874), Interval.Sine(new Interval(2.1, 5.6)));
    353       Assert.AreEqual(new Interval(-1.0, 1.0), Interval.Sine(new Interval(0.5, 8.5)));
    354       Assert.AreEqual(new Interval(-1.0, 0.9775301176650971), Interval.Sine(new Interval(-4.5, 0.1)));
    355       Assert.AreEqual(new Interval(-1.0, 1.0), Interval.Sine(new Interval(1.3, 6.3)));
     365      CheckLowerAndUpperBoundOfInterval(new Interval(-1.0, 0.863209366648874), Interval.Sine(new Interval(2.1, 5.6)));
     366      CheckLowerAndUpperBoundOfInterval(new Interval(-1.0, 1.0), Interval.Sine(new Interval(0.5, 8.5)));
     367      CheckLowerAndUpperBoundOfInterval(new Interval(-1.0, 0.9775301176650971), Interval.Sine(new Interval(-4.5, 0.1)));
     368      CheckLowerAndUpperBoundOfInterval(new Interval(-1.0, 1.0), Interval.Sine(new Interval(1.3, 6.3)));
    356369    }
    357370
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