public void SamplesProcessorFunctions_GetIntegratorTest()
{
// Função constante
var c = 4;
var delta = 0.0001;
var integratorFunc = SamplesProcessorFunctions.GetIntegrator(
x => c,
delta);
var t = 0.0;
while (t < 10)
{
var actual = integratorFunc.Invoke(t);
var expected = c * (t + delta);
Assert.AreEqual(expected, actual);
t += delta;
}
integratorFunc = SamplesProcessorFunctions.GetIntegrator(
x => c * x,
delta);
t = 0.0;
while (t < 10)
{
var actual = integratorFunc.Invoke(t);
var expected = c * (t + delta) * (t + 2 * delta) / 2;
Assert.AreEqual(expected, actual, 0.000000001);
t += delta;
}
}
public void SamplesProcessorFunctions_GetDifferenceEquationsTest()
{
// Testa a função exponencial
var func = SamplesProcessorFunctions.GetDifferenceEquationSolver(
x => 0,
0.0,
new double[] { },
new double[] { 2.0 },
new double[] { },
new double[] { 1.0 });
var expected = 2.0;
var actual = func.Invoke(1.0);
Assert.AreEqual(expected, actual);
while (expected < 10)
{
expected *= 2.0;
actual = func.Invoke(expected); // A função de entrada é constante
Assert.AreEqual(expected, actual);
}
// y[n] = 2 * x[n] + 3 * x[n-1] - 2 * y[n-1]
// x[0] = 0, y[0] = 0
func = SamplesProcessorFunctions.GetDifferenceEquationSolver(
x => x,
2.0,
new double[] { 3.0 },
new double[] { 2.0 },
new double[] { 0.0 },
new double[] { 0.0 });
var expectedArray = new double[] { 3.0, 1.0, 13.0, -9.0, 55.0 };
var t = 1.0;
for (var i = 0; i < expectedArray.LongLength; ++i)
{
expected = expectedArray[i];
actual = func.Invoke(t);
t += 1;
}
}
public void SamplesProcessorFunctions_GetFeedbackCompositeTest()
{
// y[n] = x[n] + x[n-1] + 0.5 * x[n-2] - y[n-1]
Func <double, double> func = x => x;
Func <double, double> delay1 = SamplesProcessorFunctions.GetDelay(
func,
1.0);
Func <double, double> delay2 = SamplesProcessorFunctions.GetDelay(
func,
1.0);
Func <double, double> delay3 = SamplesProcessorFunctions.GetDelay(
x => delay2.Invoke(x),
2.0);
Func <double, double> xMain = x => x + delay1.Invoke(x) + 0.5 * delay3.Invoke(x);
var comp = SamplesProcessorFunctions.GetFeedbackComposite(
(x, ix) => xMain.Invoke(x) - ix,
1.0);
// Comparação com o solucionador de equações às diferenças
var diffSolv = SamplesProcessorFunctions.GetDifferenceEquationSolver(
func,
1.0,
new double[] { 1.0, 0.5 },
new double[] { -1.0 },
new double[] { 1.0, 2.0 },
new double[] { 1.0 });
var t = 0.0;
while (t < 100)
{
var expected = diffSolv.Invoke(t);
var actual = comp.Invoke(t);
Assert.AreEqual(expected, actual);
t += 1.0;
}
}
public void SamplesProcessorFunctions_GetDelayTest()
{
var f = SamplesGeneratorFunctions.GetSineFunc();
var startValue = 2.0;
var delay = SamplesProcessorFunctions.GetDelay(
f,
startValue);
// Testa o retardo simples.
var t = 0.0;
var expected = startValue;
while (t < 100)
{
var actual = delay.Invoke(t);
Assert.AreEqual(expected, actual);
expected = f.Invoke(t);
t += 1.0;
}
// Testa um retardo composto
var startValue1 = 2.0;
var startValue2 = 1.0;
var startValue3 = 3.0;
delay = SamplesProcessorFunctions.GetDelay(
f,
startValue);
var delay1 = SamplesProcessorFunctions.GetDelay(
delay,
1.0);
var delay2 = SamplesProcessorFunctions.GetDelay(
delay1,
3.0);
t = 0.0;
while (t < 100)
{
var actual = delay2.Invoke(t);
Assert.AreEqual(startValue3, actual);
startValue3 = startValue2;
startValue2 = startValue1;
startValue1 = f.Invoke(t);
t += 1.0;
}
// Testa um retardo complexo
Func <double, double> func = x => x;
delay1 = SamplesProcessorFunctions.GetDelay(
func,
1.0);
delay2 = SamplesProcessorFunctions.GetDelay(
func,
1.0);
Func <double, double> delay3 = SamplesProcessorFunctions.GetDelay(
x => delay2.Invoke(x),
2.0);
Func <double, double> xMain = x => x + delay1.Invoke(x) + 0.5 * delay3.Invoke(x);
var expectedItems = new double[] {
2, 1.5, 3, 5.5, 8, 10.5, 13, 15.5,
18, 20.5, 23, 25.5, 28, 30.5, 33, 35.5
};
t = 0.0;
for (var i = 0; i < expectedItems.LongLength; ++i)
{
var innerExpected = expectedItems[i];
var innerActual = xMain.Invoke(t);
Assert.AreEqual(innerExpected, innerActual);
t += 1.0;
}
}
