/**
* Calculates {@code P(D_n < d)} using method described in [1] and doubles (see above).
*
* @param d statistic
* @return the two-sided probability of {@code P(D_n < d)}
* @throws MathArithmeticException if algorithm fails to convert {@code h} to a {@link
* org.apache.commons.math3.fraction.BigFraction} in expressing {@code d} as {@code (k - h) /
* m} for integer {@code k, m} and {@code 0 <= h < 1}.
*/
private double roundedK(double d) throws MathArithmeticException {
final int k = (int) FastMath.ceil(n * d);
final FieldMatrix<BigFraction> HBigFraction = this.createH(d);
final int m = HBigFraction.getRowDimension();
/*
* Here the rounding part comes into play: use
* RealMatrix instead of FieldMatrix<BigFraction>
*/
final RealMatrix H = new Array2DRowRealMatrix(m, m);
for (int i = 0; i < m; ++i) {
for (int j = 0; j < m; ++j) {
H.setEntry(i, j, HBigFraction.getEntry(i, j).doubleValue());
}
}
final RealMatrix Hpower = H.power(n);
double pFrac = Hpower.getEntry(k - 1, k - 1);
for (int i = 1; i <= n; ++i) {
pFrac *= (double) i / (double) n;
}
return pFrac;
}
/* 24: */
/* 25: */ private AdamsNordsieckTransformer(int nSteps) /* 26: */ {
/* 27:154 */ FieldMatrix<BigFraction> bigP = buildP(nSteps);
/* 28:155 */ FieldDecompositionSolver<BigFraction> pSolver =
new FieldLUDecomposition(bigP).getSolver();
/* 29: */
/* 30: */
/* 31:158 */ BigFraction[] u = new BigFraction[nSteps];
/* 32:159 */ Arrays.fill(u, BigFraction.ONE);
/* 33:160 */ BigFraction[] bigC1 =
(BigFraction[]) pSolver.solve(new ArrayFieldVector(u, false)).toArray();
/* 34: */
/* 35: */
/* 36: */
/* 37: */
/* 38: */
/* 39:166 */ BigFraction[][] shiftedP = (BigFraction[][]) bigP.getData();
/* 40:167 */ for (int i = shiftedP.length - 1; i > 0; i--) {
/* 41:169 */ shiftedP[i] = shiftedP[(i - 1)];
/* 42: */ }
/* 43:171 */ shiftedP[0] = new BigFraction[nSteps];
/* 44:172 */ Arrays.fill(shiftedP[0], BigFraction.ZERO);
/* 45:173 */ FieldMatrix<BigFraction> bigMSupdate =
pSolver.solve(new Array2DRowFieldMatrix(shiftedP, false));
/* 46: */
/* 47: */
/* 48: */
/* 49:177 */ this.update = MatrixUtils.bigFractionMatrixToRealMatrix(bigMSupdate);
/* 50:178 */ this.c1 = new double[nSteps];
/* 51:179 */ for (int i = 0; i < nSteps; i++) {
/* 52:180 */ this.c1[i] = bigC1[i].doubleValue();
/* 53: */ }
/* 54: */ }
/**
* Calculates the exact value of {@code P(D_n < d)} using method described in [1] and {@link
* org.apache.commons.math3.fraction.BigFraction} (see above).
*
* @param d statistic
* @return the two-sided probability of {@code P(D_n < d)}
* @throws MathArithmeticException if algorithm fails to convert {@code h} to a {@link
* org.apache.commons.math3.fraction.BigFraction} in expressing {@code d} as {@code (k - h) /
* m} for integer {@code k, m} and {@code 0 <= h < 1}.
*/
private double exactK(double d) throws MathArithmeticException {
final int k = (int) FastMath.ceil(n * d);
final FieldMatrix<BigFraction> H = this.createH(d);
final FieldMatrix<BigFraction> Hpower = H.power(n);
BigFraction pFrac = Hpower.getEntry(k - 1, k - 1);
for (int i = 1; i <= n; ++i) {
pFrac = pFrac.multiply(i).divide(n);
}
/*
* BigFraction.doubleValue converts numerator to double and the
* denominator to double and divides afterwards. That gives NaN quite
* easy. This does not (scale is the number of digits):
*/
return pFrac.bigDecimalValue(20, BigDecimal.ROUND_HALF_UP).doubleValue();
}