///
public virtual void localMonotonicityClampedTest()
{
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final double[] xValues = new double[] {-2.0, 3.0, 4.0, 8.0, 9.1, 10.0 };
double[] xValues = new double[] { -2.0, 3.0, 4.0, 8.0, 9.1, 10.0 };
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final double[] yValues = new double[] {0.0, 10.0, 9.5, 2.0, 1.1, -2.2, -2.6, 0.0 };
double[] yValues = new double[] { 0.0, 10.0, 9.5, 2.0, 1.1, -2.2, -2.6, 0.0 };
PiecewisePolynomialInterpolator interp = new CubicSplineInterpolator();
PiecewisePolynomialResult result = interp.interpolate(xValues, yValues);
PiecewisePolynomialFunction1D function = new PiecewisePolynomialFunction1D();
PiecewisePolynomialInterpolator interpPos = new MonotonicityPreservingCubicSplineInterpolator(interp);
PiecewisePolynomialResult resultPos = interpPos.interpolate(xValues, yValues);
assertEquals(resultPos.Dimensions, result.Dimensions);
assertEquals(resultPos.NumberOfIntervals, result.NumberOfIntervals);
assertEquals(resultPos.Order, result.Order);
const int nKeys = 121;
double key0 = -2.0;
for (int i = 1; i < nKeys; ++i)
{
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final double key = -2.0 + 12.0 / (nKeys - 1) * i;
double key = -2.0 + 12.0 / (nKeys - 1) * i;
assertTrue(function.evaluate(resultPos, key).get(0) - function.evaluate(resultPos, key0).get(0) <= 0.0);
key0 = -2.0 + 11.0 / (nKeys - 1) * i;
}
}
///
public virtual void positivityClampedMultiTest()
{
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final double[] xValues = new double[] {1.0, 2.0, 3.0, 4.0, 5.0 };
double[] xValues = new double[] { 1.0, 2.0, 3.0, 4.0, 5.0 };
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final double[][] yValues = new double[][] { {0.0, 0.1, 1.0, 1.0, 20.0, 5.0, 0.0 }, {-10.0, 0.1, 1.0, 1.0, 20.0, 5.0, 0.0 } };
double[][] yValues = new double[][]
{
new double[] { 0.0, 0.1, 1.0, 1.0, 20.0, 5.0, 0.0 },
new double[] { -10.0, 0.1, 1.0, 1.0, 20.0, 5.0, 0.0 }
};
PiecewisePolynomialInterpolator interp = new CubicSplineInterpolator();
PiecewisePolynomialResult result = interp.interpolate(xValues, yValues);
PiecewisePolynomialFunction1D function = new PiecewisePolynomialFunction1D();
PiecewisePolynomialInterpolator interpPos = new NonnegativityPreservingCubicSplineInterpolator(interp);
PiecewisePolynomialResult resultPos = interpPos.interpolate(xValues, yValues);
assertEquals(resultPos.Dimensions, result.Dimensions);
assertEquals(resultPos.NumberOfIntervals, result.NumberOfIntervals);
assertEquals(resultPos.Order, result.Order);
const int nPts = 101;
for (int i = 0; i < 101; ++i)
{
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final double key = 1.0 + 4.0 / (nPts - 1) * i;
double key = 1.0 + 4.0 / (nPts - 1) * i;
assertTrue(function.evaluate(resultPos, key).get(0) >= 0.0);
}
int dim = yValues.Length;
int nData = xValues.Length;
for (int j = 0; j < dim; ++j)
{
for (int i = 1; i < nData - 2; ++i)
{
DoubleMatrix coefMatrix = resultPos.CoefMatrix;
double tau = Math.Sign(coefMatrix.get(dim * i + j, 3));
assertTrue(coefMatrix.get(dim * i + j, 2) * tau >= -3.0 * yValues[j][i + 1] * tau / (xValues[i + 1] - xValues[i]));
assertTrue(coefMatrix.get(dim * i + j, 2) * tau <= 3.0 * yValues[j][i + 1] * tau / (xValues[i] - xValues[i - 1]));
}
}
}
/// <summary>
/// local extrema are not necessarily at data-points
/// </summary>
public virtual void extremumTest()
{
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final double[] xValues = new double[] {1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8 };
double[] xValues = new double[] { 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8 };
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final double[][] yValues = new double[][] { {1.0, 1.0, 2.0, 4.0, 4.0, 2.0, 1.0, 1.0 }, {10.0, 10.0, 6.0, 4.0, 4.0, 6.0, 10.0, 10.0 } };
double[][] yValues = new double[][]
{
new double[] { 1.0, 1.0, 2.0, 4.0, 4.0, 2.0, 1.0, 1.0 },
new double[] { 10.0, 10.0, 6.0, 4.0, 4.0, 6.0, 10.0, 10.0 }
};
PiecewisePolynomialInterpolator interp = new CubicSplineInterpolator();
PiecewisePolynomialResult result = interp.interpolate(xValues, yValues);
PiecewisePolynomialFunction1D function = new PiecewisePolynomialFunction1D();
PiecewisePolynomialInterpolator interpPos = new MonotonicityPreservingCubicSplineInterpolator(interp);
PiecewisePolynomialResult resultPos = interpPos.interpolate(xValues, yValues);
assertEquals(resultPos.Dimensions, result.Dimensions);
assertEquals(resultPos.NumberOfIntervals, result.NumberOfIntervals);
assertEquals(resultPos.Order, result.Order);
assertTrue(function.evaluate(resultPos, 4.5).get(0) - function.evaluate(resultPos, 4).get(0) >= 0.0);
assertTrue(function.evaluate(resultPos, 4.5).get(0) - function.evaluate(resultPos, 5).get(0) >= 0.0);
assertTrue(function.evaluate(resultPos, 4.5).get(1) - function.evaluate(resultPos, 4).get(1) <= 0.0);
assertTrue(function.evaluate(resultPos, 4.5).get(1) - function.evaluate(resultPos, 5).get(1) <= 0.0);
const int nKeys = 41;
double key0 = 1.0;
for (int i = 1; i < nKeys; ++i)
{
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final double key = 1.0 + 3.0 / (nKeys - 1) * i;
double key = 1.0 + 3.0 / (nKeys - 1) * i;
assertTrue(function.evaluate(resultPos, key).get(0) - function.evaluate(resultPos, key0).get(0) >= 0.0);
key0 = 1.0 + 3.0 / (nKeys - 1) * i;
}
key0 = 1.0;
for (int i = 1; i < nKeys; ++i)
{
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final double key = 1.0 + 3.0 / (nKeys - 1) * i;
double key = 1.0 + 3.0 / (nKeys - 1) * i;
assertTrue(function.evaluate(resultPos, key).get(1) - function.evaluate(resultPos, key0).get(1) <= 0.0);
key0 = 1.0 + 3.0 / (nKeys - 1) * i;
}
key0 = 5.0;
for (int i = 1; i < nKeys; ++i)
{
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final double key = 5.0 + 3.0 / (nKeys - 1) * i;
double key = 5.0 + 3.0 / (nKeys - 1) * i;
assertTrue(function.evaluate(resultPos, key).get(0) - function.evaluate(resultPos, key0).get(0) <= 0.0);
key0 = 5.0 + 3.0 / (nKeys - 1) * i;
}
key0 = 5.0;
for (int i = 1; i < nKeys; ++i)
{
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final double key = 5.0 + 3.0 / (nKeys - 1) * i;
double key = 5.0 + 3.0 / (nKeys - 1) * i;
assertTrue(function.evaluate(resultPos, key).get(1) - function.evaluate(resultPos, key0).get(1) >= 0.0);
key0 = 5.0 + 3.0 / (nKeys - 1) * i;
}
}
/// <summary>
/// f(x0,x1) = ( x0 - 1.)^3 * (x1 + 14./13.)^3
/// </summary>
public virtual void cubicTest()
{
double[] x0Values = new double[] { 1.0, 2.0, 3.0, 4.0 };
double[] x1Values = new double[] { -1.0, 0.0, 1.0, 2.0, 3.0 };
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final int n0Data = x0Values.length;
int n0Data = x0Values.Length;
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final int n1Data = x1Values.length;
int n1Data = x1Values.Length;
//JAVA TO C# CONVERTER NOTE: The following call to the 'RectangularArrays' helper class reproduces the rectangular array initialization that is automatic in Java:
//ORIGINAL LINE: double[][] yValues = new double[n0Data][n1Data];
double[][] yValues = RectangularArrays.ReturnRectangularDoubleArray(n0Data, n1Data);
for (int i = 0; i < n0Data; ++i)
{
for (int j = 0; j < n1Data; ++j)
{
yValues[i][j] = (x0Values[i] - 1.0) * (x0Values[i] - 1.0) * (x0Values[i] - 1.0) * (x1Values[j] + 14.0 / 13.0) * (x1Values[j] + 14.0 / 13.0) * (x1Values[j] + 14.0 / 13.0);
}
}
CubicSplineInterpolator method = new CubicSplineInterpolator();
PiecewisePolynomialInterpolator2D interp = new BicubicSplineInterpolator(method);
PiecewisePolynomialResult2D result = interp.interpolate(x0Values, x1Values, yValues);
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final int n0IntExp = n0Data - 1;
int n0IntExp = n0Data - 1;
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final int n1IntExp = n1Data - 1;
int n1IntExp = n1Data - 1;
const int orderExp = 4;
const int n0Keys = 51;
const int n1Keys = 61;
double[] x0Keys = new double[n0Keys];
double[] x1Keys = new double[n1Keys];
for (int i = 0; i < n0Keys; ++i)
{
x0Keys[i] = 0.0 + 5.0 * i / (n0Keys - 1);
}
for (int i = 0; i < n1Keys; ++i)
{
x1Keys[i] = -2.0 + 6.0 * i / (n1Keys - 1);
}
assertEquals(result.NumberOfIntervals[0], n0IntExp);
assertEquals(result.NumberOfIntervals[1], n1IntExp);
assertEquals(result.Order[0], orderExp);
assertEquals(result.Order[1], orderExp);
for (int i = 0; i < n0Data; ++i)
{
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final double ref = Math.abs(x0Values[i]) == 0.0 ? 1.0 : Math.abs(x0Values[i]);
double @ref = Math.Abs(x0Values[i]) == 0.0 ? 1.0 : Math.Abs(x0Values[i]);
assertEquals(result.Knots0.get(i), x0Values[i], @ref * EPS);
assertEquals(result.Knots2D[0].get(i), x0Values[i], @ref * EPS);
}
for (int i = 0; i < n1Data; ++i)
{
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final double ref = Math.abs(x1Values[i]) == 0.0 ? 1.0 : Math.abs(x1Values[i]);
double @ref = Math.Abs(x1Values[i]) == 0.0 ? 1.0 : Math.Abs(x1Values[i]);
assertEquals(result.Knots1.get(i), x1Values[i], @ref * EPS);
assertEquals(result.Knots2D[1].get(i), x1Values[i], @ref * EPS);
}
for (int i = 0; i < n0Data - 1; ++i)
{
for (int j = 0; j < n1Data - 1; ++j)
{
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final double ref = Math.abs(yValues[i][j]) == 0.0 ? 1.0 : Math.abs(yValues[i][j]);
double @ref = Math.Abs(yValues[i][j]) == 0.0 ? 1.0 : Math.Abs(yValues[i][j]);
assertEquals(result.Coefs[i][j].get(orderExp - 1, orderExp - 1), yValues[i][j], @ref * EPS);
}
}
DoubleMatrix resValues = interp.interpolate(x0Values, x1Values, yValues, x0Values, x1Values);
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final com.opengamma.strata.math.impl.function.PiecewisePolynomialFunction2D func2D = new com.opengamma.strata.math.impl.function.PiecewisePolynomialFunction2D();
PiecewisePolynomialFunction2D func2D = new PiecewisePolynomialFunction2D();
DoubleMatrix resDiffX0 = func2D.differentiateX0(result, x0Values, x1Values);
DoubleMatrix resDiffX1 = func2D.differentiateX1(result, x0Values, x1Values);
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final com.opengamma.strata.math.impl.function.PiecewisePolynomialFunction1D func1D = new com.opengamma.strata.math.impl.function.PiecewisePolynomialFunction1D();
PiecewisePolynomialFunction1D func1D = new PiecewisePolynomialFunction1D();
DoubleMatrix expDiffX0 = func1D.differentiate(method.interpolate(x0Values, OG_ALGEBRA.getTranspose(DoubleMatrix.copyOf(yValues)).toArray()), x0Values);
DoubleMatrix expDiffX1 = func1D.differentiate(method.interpolate(x1Values, yValues), x1Values);
for (int i = 0; i < n0Data; ++i)
{
for (int j = 0; j < n1Data; ++j)
{
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final double expVal = expDiffX1.get(i, j);
double expVal = expDiffX1.get(i, j);
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final double ref = Math.abs(expVal) == 0.0 ? 1.0 : Math.abs(expVal);
double @ref = Math.Abs(expVal) == 0.0 ? 1.0 : Math.Abs(expVal);
assertEquals(resDiffX1.get(i, j), expVal, @ref * EPS);
}
}
for (int i = 0; i < n0Data; ++i)
{
for (int j = 0; j < n1Data; ++j)
{
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final double expVal = expDiffX0.get(j, i);
double expVal = expDiffX0.get(j, i);
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final double ref = Math.abs(expVal) == 0.0 ? 1.0 : Math.abs(expVal);
double @ref = Math.Abs(expVal) == 0.0 ? 1.0 : Math.Abs(expVal);
assertEquals(resDiffX0.get(i, j), expVal, @ref * EPS);
}
}
for (int i = 0; i < n0Data; ++i)
{
for (int j = 0; j < n1Data; ++j)
{
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final double expVal = yValues[i][j];
double expVal = yValues[i][j];
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final double ref = Math.abs(expVal) == 0.0 ? 1.0 : Math.abs(expVal);
double @ref = Math.Abs(expVal) == 0.0 ? 1.0 : Math.Abs(expVal);
assertEquals(resValues.get(i, j), expVal, @ref * EPS);
}
}
}