/// <summary>
/// Compute $A^T A$, where A is a matrix. </summary>
/// <param name="a"> The matrix </param>
/// <returns> The result of $A^T A$ </returns>
public virtual DoubleMatrix matrixTransposeMultiplyMatrix(DoubleMatrix a)
{
ArgChecker.notNull(a, "a");
int n = a.rowCount();
int m = a.columnCount();
//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[][] data = new double[m][m];
double[][] data = RectangularArrays.ReturnRectangularDoubleArray(m, m);
for (int i = 0; i < m; i++)
{
double sum = 0d;
for (int k = 0; k < n; k++)
{
sum += a.get(k, i) * a.get(k, i);
}
data[i][i] = sum;
for (int j = i + 1; j < m; j++)
{
sum = 0d;
for (int k = 0; k < n; k++)
{
sum += a.get(k, i) * a.get(k, j);
}
data[i][j] = sum;
data[j][i] = sum;
}
}
return(DoubleMatrix.ofUnsafe(data));
}
/// <summary>
/// Finds the node sensitivity.
/// </summary>
/// <param name="pp"> the <seealso cref="PiecewisePolynomialResultsWithSensitivity"/> </param>
/// <param name="xKey"> the key </param>
/// <returns> Node sensitivity value at x=xKey </returns>
public virtual DoubleArray nodeSensitivity(PiecewisePolynomialResultsWithSensitivity pp, double xKey)
{
ArgChecker.notNull(pp, "null pp");
ArgChecker.isFalse(double.IsNaN(xKey), "xKey containing NaN");
ArgChecker.isFalse(double.IsInfinity(xKey), "xKey containing Infinity");
if (pp.Dimensions > 1)
{
throw new System.NotSupportedException();
}
DoubleArray knots = pp.Knots;
int nKnots = knots.size();
int interval = FunctionUtils.getLowerBoundIndex(knots, xKey);
if (interval == nKnots - 1)
{
interval--; // there is 1 less interval that knots
}
double s = xKey - knots.get(interval);
DoubleMatrix a = pp.getCoefficientSensitivity(interval);
int nCoefs = a.rowCount();
DoubleArray res = a.row(0);
for (int i = 1; i < nCoefs; i++)
{
res = (DoubleArray)MA.scale(res, s);
res = (DoubleArray)MA.add(res, a.row(i));
}
return(res);
}
//JAVA TO C# CONVERTER WARNING: 'final' parameters are not available in .NET:
//ORIGINAL LINE: @Override public com.opengamma.strata.collect.array.DoubleMatrix[] solveMultiDim(final double[] xValues, final com.opengamma.strata.collect.array.DoubleMatrix yValuesMatrix)
public override DoubleMatrix[] solveMultiDim(double[] xValues, DoubleMatrix yValuesMatrix)
{
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final int dim = yValuesMatrix.rowCount();
int dim = yValuesMatrix.rowCount();
DoubleMatrix[] coefMatrix = new DoubleMatrix[dim];
for (int i = 0; i < dim; ++i)
{
coefMatrix[i] = solve(xValues, yValuesMatrix.row(i).toArray());
}
return(coefMatrix);
}
//JAVA TO C# CONVERTER WARNING: 'final' parameters are not available in .NET:
//ORIGINAL LINE: private void assertMatrixEquals(final com.opengamma.strata.collect.array.Matrix m1, final com.opengamma.strata.collect.array.Matrix m2)
private void assertMatrixEquals(Matrix m1, Matrix m2)
{
if (m1 is DoubleArray)
{
assertTrue(m2 is DoubleArray);
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final com.opengamma.strata.collect.array.DoubleArray m3 = (com.opengamma.strata.collect.array.DoubleArray) m1;
DoubleArray m3 = (DoubleArray)m1;
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final com.opengamma.strata.collect.array.DoubleArray m4 = (com.opengamma.strata.collect.array.DoubleArray) m2;
DoubleArray m4 = (DoubleArray)m2;
assertEquals(m3.size(), m4.size());
for (int i = 0; i < m3.size(); i++)
{
assertEquals(m3.get(i), m4.get(i), EPS);
}
return;
}
if (m2 is DoubleMatrix)
{
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final com.opengamma.strata.collect.array.DoubleMatrix m3 = (com.opengamma.strata.collect.array.DoubleMatrix) m1;
DoubleMatrix m3 = (DoubleMatrix)m1;
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final com.opengamma.strata.collect.array.DoubleMatrix m4 = (com.opengamma.strata.collect.array.DoubleMatrix) m2;
DoubleMatrix m4 = (DoubleMatrix)m2;
assertEquals(m3.size(), m4.size());
assertEquals(m3.rowCount(), m4.rowCount());
assertEquals(m3.columnCount(), m4.columnCount());
for (int i = 0; i < m3.rowCount(); i++)
{
for (int j = 0; j < m3.columnCount(); j++)
{
assertEquals(m3.get(i, j), m4.get(i, j), EPS);
}
}
}
}
public LeastSquareResults(double chiSq, DoubleArray parameters, DoubleMatrix covariance, DoubleMatrix inverseJacobian)
{
ArgChecker.isTrue(chiSq >= 0, "chi square < 0");
ArgChecker.notNull(parameters, "parameters");
ArgChecker.notNull(covariance, "covariance");
int n = parameters.size();
ArgChecker.isTrue(covariance.columnCount() == n, "covariance matrix not square");
ArgChecker.isTrue(covariance.rowCount() == n, "covariance matrix wrong size");
//TODO test size of inverse Jacobian
_chiSq = chiSq;
_parameters = parameters;
_covariance = covariance;
_inverseJacobian = inverseJacobian;
}
/// <summary>
/// Assert that two matrices (as <seealso cref="DoubleMatrix"/>) equal concerning a delta. To be equal the matrices
/// must be the same size, and each element must match to within delta.
/// If they are not equal an AssertionFailedError is thrown. </summary>
/// <param name="m1"> expected matrix </param>
/// <param name="m2"> actual matrix </param>
/// <param name="delta"> the allowed difference between the elements </param>
public static void assertEqualsMatrix(DoubleMatrix m1, DoubleMatrix m2, double delta)
{
ArgChecker.notNull(m1, "m1");
ArgChecker.notNull(m2, "m2");
int rows = m1.rowCount();
int cols = m1.columnCount();
assertEquals("Number of rows:", rows, m2.rowCount());
assertEquals("Number of columns:", cols, m2.columnCount());
for (int i = 0; i < rows; i++)
{
for (int j = 0; j < cols; j++)
{
assertEquals("", m1.get(i, j), m2.get(i, j), delta);
}
}
}
//JAVA TO C# CONVERTER WARNING: 'final' parameters are not available in .NET:
//ORIGINAL LINE: private void checkEquals(final com.opengamma.strata.collect.array.DoubleMatrix x, final com.opengamma.strata.collect.array.DoubleMatrix y)
private void checkEquals(DoubleMatrix x, DoubleMatrix y)
{
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final int n = x.rowCount();
int n = x.rowCount();
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final int m = x.columnCount();
int m = x.columnCount();
assertEquals(n, y.rowCount());
assertEquals(m, y.columnCount());
for (int i = 0; i < n; i++)
{
for (int j = 0; j < m; j++)
{
assertEquals(x.get(i, j), y.get(i, j), EPS);
}
}
}
public static void notNaNOrInfinite(DoubleMatrix x)
{
int rows = x.rowCount();
int cols = x.columnCount();
for (int i = 0; i < rows; i++)
{
for (int j = 0; j < cols; j++)
{
double temp = x.get(i, j);
if (double.IsNaN(temp))
{
throw new MathException("Matrix contains a NaN");
}
if (double.IsInfinity(temp))
{
throw new MathException("Matrix contains an infinite");
}
}
}
}
//JAVA TO C# CONVERTER WARNING: 'final' parameters are not available in .NET:
//ORIGINAL LINE: private void checkIdentity(final com.opengamma.strata.collect.array.DoubleMatrix x)
private void checkIdentity(DoubleMatrix x)
{
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final int n = x.rowCount();
int n = x.rowCount();
assertEquals(x.columnCount(), n);
for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
if (i == j)
{
assertEquals(1.0, x.get(i, i), EPS);
}
else
{
assertEquals(0.0, x.get(i, j), EPS);
}
}
}
}
//JAVA TO C# CONVERTER TODO TASK: Most Java annotations will not have direct .NET equivalent attributes:
//ORIGINAL LINE: @Test public void testInvert()
public virtual void testInvert()
{
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final com.opengamma.strata.collect.array.DoubleMatrix res = CALCULATOR.apply(MATRIX);
DoubleMatrix res = CALCULATOR.apply(MATRIX);
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final com.opengamma.strata.collect.array.DoubleMatrix idet = (com.opengamma.strata.collect.array.DoubleMatrix) OG_ALGEBRA.multiply(TRI, res);
DoubleMatrix idet = (DoubleMatrix)OG_ALGEBRA.multiply(TRI, res);
//JAVA TO C# CONVERTER WARNING: The original Java variable was marked 'final':
//ORIGINAL LINE: final int n = idet.rowCount();
int n = idet.rowCount();
int i, j;
for (i = 0; i < n; i++)
{
for (j = 0; j < n; j++)
{
assertEquals((i == j ? 1.0 : 0.0), idet.get(i, j), EPS);
}
}
}
/// <summary>
/// Returns the Kronecker product of two matrices. If $\mathbf{A}$ is an $m
/// \times n$ matrix and $\mathbf{B}$ is a $p \times q$ matrix, then the
/// Kronecker product $A \otimes B$ is an $mp \times nq$ matrix with elements
/// $$
/// \begin{align*}
/// A \otimes B &=
/// \begin{pmatrix}
/// a_{11}\mathbf{B} & \cdots & a_{1n}\mathbf{B} \\
/// \vdots & \ddots & \vdots \\
/// a_{m1}\mathbf{B} & \cdots & a_{mn}\mathbf{B}
/// \end{pmatrix}\\
/// &=
/// \begin{pmatrix}
/// a_{11}b_{11} & a_{11}b_{12} & \cdots & a_{11}b_{1q} & \cdots & a_{1n}b_{11} & a_{1n}b_{12} & \cdots & a_{1n}b_{1q}\\
/// a_{11}b_{21} & a_{11}b_{22} & \cdots & a_{11}b_{2q} & \cdots & a_{1n}b_{21} & a_{1n}b_{22} & \cdots & a_{1n}b_{2q} \\
/// \vdots & \vdots & \ddots & \vdots & \cdots & \vdots & \vdots & \ddots & \cdots \\
/// a_{11}b_{p1} & a_{11}b_{p2} & \cdots & a_{11}b_{pq} & \cdots & a_{1n}b_{p1} & a_{1n}b_{p2} & \cdots & a_{1n}b_{pq} \\
/// \vdots & \vdots & & \vdots & \ddots & \vdots & \vdots & & \cdots \\
/// a_{m1}b_{11} & a_{m1}b_{12} & \cdots & a_{m1}b_{1q} & \cdots & a_{mn}b_{11} & a_{mn}b_{12} & \cdots & a_{mn}b_{1q} \\
/// a_{m1}b_{21} & a_{m1}b_{22} & \cdots & a_{m1}b_{2q} & \cdots & a_{mn}b_{21} & a_{mn}b_{22} & \cdots & a_{mn}b_{2q} \\
/// \vdots & \vdots & \ddots & \vdots & \cdots & \vdots & \vdots & \ddots & \cdots \\
/// a_{m1}b_{p1} & a_{m1}b_{p2} & \cdots & a_{m1}b_{pq} & \cdots & a_{mn}b_{p1} & a_{mn}b_{p2} & \cdots & a_{mn}b_{pq}
/// \end{pmatrix}
/// \end{align*}
/// $$ </summary>
/// <param name="m1"> The first matrix, not null. This matrix must be a <seealso cref="DoubleMatrix"/>. </param>
/// <param name="m2"> The second matrix, not null. This matrix must be a <seealso cref="DoubleMatrix"/>. </param>
/// <returns> The Kronecker product </returns>
public virtual Matrix kroneckerProduct(Matrix m1, Matrix m2)
{
ArgChecker.notNull(m1, "m1");
ArgChecker.notNull(m2, "m2");
if (m1 is DoubleMatrix && m2 is DoubleMatrix)
{
DoubleMatrix matrix1 = (DoubleMatrix)m1;
DoubleMatrix matrix2 = (DoubleMatrix)m2;
int aRows = matrix1.rowCount();
int aCols = matrix1.columnCount();
int bRows = matrix2.rowCount();
int bCols = matrix2.columnCount();
int rRows = aRows * bRows;
int rCols = aCols * bCols;
//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[][] res = new double[rRows][rCols];
double[][] res = RectangularArrays.ReturnRectangularDoubleArray(rRows, rCols);
for (int i = 0; i < aRows; i++)
{
for (int j = 0; j < aCols; j++)
{
double t = matrix1.get(i, j);
if (t != 0.0)
{
for (int k = 0; k < bRows; k++)
{
for (int l = 0; l < bCols; l++)
{
res[i * bRows + k][j * bCols + l] = t * matrix2.get(k, l);
}
}
}
}
}
return(DoubleMatrix.ofUnsafe(res));
}
throw new System.ArgumentException("Can only calculate the Kronecker product of two DoubleMatrix.");
}
/// <summary>
/// Interpolate.
/// </summary>
/// <param name="xValues"> the values </param>
/// <param name="yValuesMatrix"> the matrix </param>
/// <param name="x"> the x </param>
/// <returns> Values of the underlying cubic spline functions interpolating {yValuesMatrix.RowVectors} at the value of x </returns>
//JAVA TO C# CONVERTER WARNING: 'final' parameters are not available in .NET:
//ORIGINAL LINE: public com.opengamma.strata.collect.array.DoubleArray interpolate(final double[] xValues, final double[][] yValuesMatrix, final double x)
public virtual DoubleArray interpolate(double[] xValues, double[][] yValuesMatrix, double x)
{
DoubleMatrix matrix = DoubleMatrix.copyOf(yValuesMatrix);
return(DoubleArray.of(matrix.rowCount(), i => interpolate(xValues, matrix.rowArray(i), x)));
}