public void SaveAndLoadNetState()
{
const int inputsCount = 3;
var net = new SimpleFuzzyNet(inputsCount, new[] {2},
levelsCount: 3,
littleFuzzyNumberGenerator:
() => DiscreteFuzzyNumber.GenerateLittleNumber(levelsCount: 3));
var first = new DiscreteFuzzyNumber(new TriangularFuzzyFunction(-1, 0, 1), 3);
var second = new DiscreteFuzzyNumber(new TriangularFuzzyFunction(-1, -0.5, 0), 3);
var third = new DiscreteFuzzyNumber(new TriangularFuzzyFunction(0, 0.5, 1), 3);
var inputs = new List<IFuzzyNumber>
{
first,
second,
third,
};
var expectedOutput = net.Propagate(inputs).First();
BinaryFileSerializer.SaveNetState(_filename, net);
var loadedNet = BinaryFileSerializer.LoadNetState(_filename);
var actualOutput = loadedNet.PropagateLastInput().First();
expectedOutput.ForeachLevel((alpha, level) => Assert.That(level, Is.EqualTo(actualOutput.GetAlphaLevel(alpha))));
}
public void PropagateSignal()
{
var levelsRight = new Dictionary<double, IntervalD>
{
{0.0, new IntervalD(1.0, 3.0)},
{0.5, new IntervalD(1.5, 2.5)},
{1.0, new IntervalD(2.0, 2.0)},
};
var weight = new DiscreteFuzzyNumber(levelsRight);
var input = new Link(weight);
var output = new Link();
var f = new Func<double, double>(x => 1.0 / (1.0 + Math.Pow(Math.E, -x)));
var neuron = new FuzzyNeuron(f, () => DiscreteFuzzyNumber.GenerateLittleNumber(levelsCount: 3));
neuron.AddInput(input, weight);
neuron.SetOutput(output);
neuron.Propagate();
var expectedLevel00 = new IntervalD(f(1), f(9));
var expectedLevel05 = new IntervalD(f(2.25), f(6.25));
var expectedLevel10 = new IntervalD(f(4.0), f(4.0));
Assert.NotNull(output.Signal);
Assert.That(output.Signal.GetAlphaLevel(0.0), Is.EqualTo(expectedLevel00));
Assert.That(output.Signal.GetAlphaLevel(0.5), Is.EqualTo(expectedLevel05));
Assert.That(output.Signal.GetAlphaLevel(1.0), Is.EqualTo(expectedLevel10));
}
public static IFuzzyNumber GenerateLittleNumber(double min = -0.5, double max = 0.5, int levelsCount = StandardAlphaLevelsCount)
{
var f = PrepareLittleFuzzyFunction(min, max);
var result = new DiscreteFuzzyNumber();
double d = 1.0 / (levelsCount - 1);
for (int i = 0; i < levelsCount - 1; i++)
{
result._alphaLevels.Add(d * i, f.GetAlphaLevel(d * i));
}
result._alphaLevels.Add(1.0, f.GetAlphaLevel(1.0));
return result;
}
public void AfterSumLevelsCountIsSameAsInFirstNumber()
{
var levelsLeft = new Dictionary<double, IntervalD>
{
{0.0, new IntervalD(1.0, 3.0)},
{0.5, new IntervalD(0.5, 2.5)},
{1.0, new IntervalD(2.0, 2.0)},
};
var x = new DiscreteFuzzyNumber(levelsLeft);
var levelsRight = new Dictionary<double, IntervalD>
{
{0.0, new IntervalD(1.0, 3.0)},
{0.5, new IntervalD(0.5, 2.5)},
{1.0, new IntervalD(2.0, 2.0)},
};
var y = new DiscreteFuzzyNumber(levelsRight);
var sum = x.Sum(y);
Assert.That(sum.LevelsCount, Is.EqualTo(3));
}
public void AfterProductionLevelsCountIsSameAsInFirstFactor()
{
var levelsLeft = new Dictionary<double, IntervalD>
{
{0.0, new IntervalD(1.0, 3.0)},
{0.5, new IntervalD(0.5, 2.5)},
{1.0, new IntervalD(2.0, 2.0)},
};
var x = new DiscreteFuzzyNumber(levelsLeft);
var levelsRight = new Dictionary<double, IntervalD>
{
{0.0, new IntervalD(1.0, 3.0)},
{0.5, new IntervalD(0.5, 2.5)},
{1.0, new IntervalD(2.0, 2.0)},
};
var y = new DiscreteFuzzyNumber(levelsRight);
var product = x.Mul(y);
Assert.That(product.LevelsCount, Is.EqualTo(3));
}
public void CopyNumbers()
{
var levels = new Dictionary<double, IntervalD>
{
{0.0, new IntervalD(1.0, 3.0)},
{0.5, new IntervalD(1.5, 2.5)},
{1.0, new IntervalD(2.0, 2.0)},
};
var x = new DiscreteFuzzyNumber(levels);
var newLevels = new Dictionary<double, IntervalD>
{
{0.0, new IntervalD(-2.0, 2.0)},
{0.25, new IntervalD(-1.5, 1.5)},
{0.5, new IntervalD(-1.0, 1.0)},
{1.0, new IntervalD(0.0, 0.0)},
};
var y = new DiscreteFuzzyNumber(newLevels);
x.Set(y);
Assert.That(x.LevelsCount, Is.EqualTo(4));
Assert.That(x.GetAlphaLevel(0.0), Is.EqualTo(new IntervalD(-2.0, 2.0)));
Assert.That(x.GetAlphaLevel(0.25), Is.EqualTo(new IntervalD(-1.5, 1.5)));
Assert.That(x.GetAlphaLevel(0.5), Is.EqualTo(new IntervalD(-1.0, 1.0)));
Assert.That(x.GetAlphaLevel(1.0), Is.EqualTo(new IntervalD(0.0, 0.0)));
}
public void BeEmptyAfterConstruction()
{
var number = new DiscreteFuzzyNumber();
var result = number.LevelsCount;
Assert.That(result, Is.EqualTo(0));
}
private static void CorretlyDoOperationWithFlatNumbers(Func<double,double, double> flatOp, Func<IFuzzyNumber, double, IFuzzyNumber> fuzzyOp, double value)
{
var levels = new Dictionary<double, IntervalD>
{
{0.0, new IntervalD(1.0, 3.0)},
{0.5, new IntervalD(1.5, 2.5)},
{1.0, new IntervalD(2.0, 2.0)},
};
var x = new DiscreteFuzzyNumber(levels);
var result = fuzzyOp(x, value);
Assert.That(result.LevelsCount, Is.EqualTo(3));
Assert.That(result.GetAlphaLevel(0.0), Is.EqualTo(new IntervalD(flatOp(1.0, value), flatOp(3.0, value))));
Assert.That(result.GetAlphaLevel(0.5), Is.EqualTo(new IntervalD(flatOp(1.5, value), flatOp(2.5, value))));
Assert.That(result.GetAlphaLevel(1.0), Is.EqualTo(new IntervalD(flatOp(2.0, value), flatOp(2.0, value))));
}
public void ThrowExceptionOnDivisionByZeroFlatNumber()
{
const double zero = 0.0;
var levels = new Dictionary<double, IntervalD>
{
{0.0, new IntervalD(1.0, 3.0)},
{0.5, new IntervalD(1.5, 2.5)},
{1.0, new IntervalD(2.0, 2.0)},
};
var x = new DiscreteFuzzyNumber(levels);
Assert.Throws<DivideByZeroException>(() => { var result = x.Div(zero); });
}
public void ReturnActualRightValue()
{
var levels = new Dictionary<double, IntervalD>
{
{0.0, new IntervalD(1.0, 3.0)},
};
var number = new DiscreteFuzzyNumber(levels);
var result = number.GetRight();
Assert.That(result, Is.EqualTo(new PointD(3.0, 0.0)));
}
public void ReturnActualModValue()
{
var levels = new Dictionary<double, IntervalD>
{
{1.0, new IntervalD(2.0, 2.0)},
};
var number = new DiscreteFuzzyNumber(levels);
var result = number.GetMod();
Assert.That(result, Is.EqualTo(new PointD(2.0, 1.0)));
}
public void ReturnActualAlphaLevels()
{
var levels = new Dictionary<double, IntervalD>
{
{0.0, new IntervalD(1.0, 3.0)},
{0.5, new IntervalD(0.5, 2.5)},
{1.0, new IntervalD(2.0, 2.0)},
};
var number = new DiscreteFuzzyNumber(levels);
var level0_0 = number.GetAlphaLevel(0.0);
var level0_5 = number.GetAlphaLevel(0.5);
var level1_0 = number.GetAlphaLevel(1.0);
Assert.That(level0_0, Is.EqualTo(new IntervalD(1.0, 3.0)));
Assert.That(level0_5, Is.EqualTo(new IntervalD(0.5, 2.5)));
Assert.That(level1_0, Is.EqualTo(new IntervalD(2.0, 2.0)));
}
public void CorrectlySumNumbers()
{
var levelsLeft = new Dictionary<double, IntervalD>
{
{0.0, new IntervalD(1.0, 3.0)},
{0.5, new IntervalD(0.5, 2.5)},
{1.0, new IntervalD(2.0, 2.0)},
};
var x = new DiscreteFuzzyNumber(levelsLeft);
var levelsRight = new Dictionary<double, IntervalD>
{
{0.0, new IntervalD(1.0, 3.0)},
{0.5, new IntervalD(0.5, 2.5)},
{1.0, new IntervalD(2.0, 2.0)},
};
var y = new DiscreteFuzzyNumber(levelsRight);
var sum = x.Sum(y);
Assert.That(sum.GetAlphaLevel(0.0), Is.EqualTo(new IntervalD(1.0 + 1.0, 3.0 + 3.0)));
Assert.That(sum.GetAlphaLevel(0.5), Is.EqualTo(new IntervalD(0.5 + 0.5, 2.5 + 2.5)));
Assert.That(sum.GetAlphaLevel(1.0), Is.EqualTo(new IntervalD(2.0 + 2.0, 2.0 + 2.0)));
}
public void CorrectlyMultiplyZeroByZero()
{
var levelsLeft = new Dictionary<double, IntervalD>
{
{0.0, new IntervalD(-2.0, 2.0)},
{0.5, new IntervalD(-1.0, 1.0)},
{1.0, new IntervalD(0.0, 0.0)},
};
var x = new DiscreteFuzzyNumber(levelsLeft);
var levelsRight = new Dictionary<double, IntervalD>
{
{0.0, new IntervalD(-2.0, 2.0)},
{0.5, new IntervalD(-1.0, 1.0)},
{1.0, new IntervalD(0.0, 0.0)},
};
var y = new DiscreteFuzzyNumber(levelsRight);
var product = x.Mul(y);
Assert.That(product.GetAlphaLevel(0.0), Is.EqualTo(new IntervalD(-4.0, 4.0)));
Assert.That(product.GetAlphaLevel(0.5), Is.EqualTo(new IntervalD(-1.0, 1.0)));
Assert.That(product.GetAlphaLevel(1.0), Is.EqualTo(new IntervalD(0.0, 0.0)));
}
public void CorrectlyMultiplyPositiveNumbers()
{
var levelsLeft = new Dictionary<double, IntervalD>
{
{0.0, new IntervalD(1.0, 3.0)},
{0.5, new IntervalD(1.5, 2.5)},
{1.0, new IntervalD(2.0, 2.0)},
};
var x = new DiscreteFuzzyNumber(levelsLeft);
var levelsRight = new Dictionary<double, IntervalD>
{
{0.0, new IntervalD(1.0, 3.0)},
{0.5, new IntervalD(1.5, 2.5)},
{1.0, new IntervalD(2.0, 2.0)},
};
var y = new DiscreteFuzzyNumber(levelsRight);
var product = x.Mul(y);
Assert.That(product.GetAlphaLevel(0.0), Is.EqualTo(new IntervalD(1.0, 9.0)));
Assert.That(product.GetAlphaLevel(0.5), Is.EqualTo(new IntervalD(2.25, 6.25)));
Assert.That(product.GetAlphaLevel(1.0), Is.EqualTo(new IntervalD(4.0, 4.0)));
}
public void CorrectlyMultiplyPositiveByZero2()
{
var x = new DiscreteFuzzyNumber(new TriangularFuzzyFunction(-3.0,-1.0,2.0), 3);
var y = new DiscreteFuzzyNumber(new TriangularFuzzyFunction(-2.0, 1.0, 4.0), 3);
var product = x.Mul(y);
Assert.That(product.GetAlphaLevel(0.0), Is.EqualTo(new IntervalD(-12.0, 8.0)));
Assert.That(product.GetAlphaLevel(0.5), Is.EqualTo(new IntervalD(-5.0, 1.25)));
Assert.That(product.GetAlphaLevel(1.0), Is.EqualTo(new IntervalD(-1.0, -1.0)));
}
public void ReturnTwoOnLevelsCount()
{
var levels = new Dictionary<double, IntervalD>
{
{0.0, new IntervalD(1.0, 3.0)},
{1.0, new IntervalD(2.0, 2.0)},
};
var number = new DiscreteFuzzyNumber(levels);
var result = number.LevelsCount;
Assert.That(result, Is.EqualTo(2));
}
public void CorrectlyApplyActivationFunction()
{
var f = new Func<double, double>(value => 1.0/(1.0 + Math.Pow(Math.E, -value)));
var levelsLeft = new Dictionary<double, IntervalD>
{
{0.0, new IntervalD(-2.0, 2.0)},
{0.5, new IntervalD(-1.0, 1.0)},
{1.0, new IntervalD(0.0, 0.0)},
};
var x = new DiscreteFuzzyNumber(levelsLeft);
var activation = x.Apply(f);
var expectedValueOnLevel00 = new IntervalD(f(-2.0), f(2.0));
var expectedValueOnLevel05 = new IntervalD(f(-1.0), f(1.0));
var expectedValueOnLevel10 = new IntervalD(f(0.0), f(0.0));
Assert.That(activation.GetAlphaLevel(0.0), Is.EqualTo(expectedValueOnLevel00));
Assert.That(activation.GetAlphaLevel(0.5), Is.EqualTo(expectedValueOnLevel05));
Assert.That(activation.GetAlphaLevel(1.0), Is.EqualTo(expectedValueOnLevel10));
}