Inspired by the {@code sphere_lebedev_rule} C++ code by John Burkardt, + * itself based on the public domain "Lebedev-Laikov" algorithm and tables by + * Vyacheslav Lebedev and Dmitri Laikov. + * + *
For a rule of a given {@code order} N, with unit points {@code (x_i,y_i,z_i)} and weights + * {@code w_i} (which sum to 1), the integral of a function f over the unit sphere is + * approximated as {@code 4*PI * sum(w_i * f(x_i,y_i,z_i))}. + * + *
Usage: the simplest way to integrate a function over the unit sphere is to call + * {@link #integrate(TrivariateFunction, int)} with the function to integrate and the desired + * order (number of points), for example: + *
{@code
+ * double integral = LebedevQuadrature.integrate((x, y, z) -> x * x + y * y + z * z, 110);
+ * }
+ * The order must be one of the values listed in {@link #AVAILABLE_ORDERS}; higher orders give + * a more accurate approximation at the cost of evaluating the function at more points. When the + * required accuracy is unknown in advance, {@link #getRuleAtLeast(int)} can be used to pick the + * smallest available rule with at least a given number of points. For repeated integrations with + * the same order, it is more efficient to retrieve the {@link Rule} once with {@link #getRule(int)} + * or {@link #getRuleAtLeast(int)} and reuse it, evaluating the function directly on its points and + * weights, rather than calling {@link #integrate(TrivariateFunction, int)} repeatedly. + * + *
Reference: Vyacheslav Lebedev, Dmitri Laikov, "A quadrature formula for the sphere of the + * 131st algebraic order of accuracy", Russian Academy of Sciences Doklady Mathematics, Volume 59, + * Number 3, 1999, pages 477-481. + * + * @author Vyacheslav Lebedev and Dmitri Laikov (original algorithm and tables) + * @author Nicolas Kaikati (Java implementation) + * @since 4.1 + */ +public class LebedevQuadrature { + + /** Orders (number of points) available in this implementation, in increasing order. */ + public static final int[] AVAILABLE_ORDERS = { + 6, 14, 26, 38, 50, 74, 86, 110, 146, 170, 194, 230, 266, 302, 350, 434, 590, 770, 974, + 1202, 1454, 1730, 2030, 2354, 2702, 3074, 3470, 3890, 4334, 4802, 5294, 5810 + }; + + private LebedevQuadrature() { + // Utility class. + } + + /** A Lebedev quadrature rule: unit-sphere points and weights (weights sum to 1). */ + public static class Rule { + /** x coordinates of the unit-sphere points. */ + private final double[] x; + /** y coordinates of the unit-sphere points. */ + private final double[] y; + /** z coordinates of the unit-sphere points. */ + private final double[] z; + /** Weights of the points (sum to 1). */ + private final double[] w; + + private Rule(final int order) { + this.x = new double[order]; + this.y = new double[order]; + this.z = new double[order]; + this.w = new double[order]; + } + + /** + * Get the number of points in this rule. + * @return number of points in this rule. + */ + public int getOrder() { + return x.length; + } + + /** + * Get the x coordinates of the unit-sphere points. + * @return x coordinates of the unit-sphere points. + */ + public double[] getX() { + return x; + } + + /** + * Get the y coordinates of the unit-sphere points. + * @return y coordinates of the unit-sphere points. + */ + public double[] getY() { + return y; + } + + /** + * Get the z coordinates of the unit-sphere points. + * @return z coordinates of the unit-sphere points. + */ + public double[] getZ() { + return z; + } + + /** + * Get the weights of the points. + * @return weights of the points (sum to 1). + */ + public double[] getW() { + return w; + } + } + + /** + * Get the smallest available rule with at least the requested number of points. + * @param minimumOrder minimum number of points desired + * @return a Lebedev rule + */ + public static Rule getRuleAtLeast(final int minimumOrder) { + for (final int order : AVAILABLE_ORDERS) { + if (order >= minimumOrder) { + return getRule(order); + } + } + return getRule(AVAILABLE_ORDERS[AVAILABLE_ORDERS.length - 1]); + } + + /** + * Get the Lebedev rule with the given exact order. + * @param order number of points, must be one of {@link #AVAILABLE_ORDERS} + * @return a Lebedev rule + * @throws MathIllegalArgumentException if {@code order} is not one of {@link #AVAILABLE_ORDERS} + */ + public static Rule getRule(final int order) { + final Rule rule = new Rule(order); + switch (order) { + case 6: ld0006(rule.x, rule.y, rule.z, rule.w); break; + case 14: ld0014(rule.x, rule.y, rule.z, rule.w); break; + case 26: ld0026(rule.x, rule.y, rule.z, rule.w); break; + case 38: ld0038(rule.x, rule.y, rule.z, rule.w); break; + case 50: ld0050(rule.x, rule.y, rule.z, rule.w); break; + case 74: ld0074(rule.x, rule.y, rule.z, rule.w); break; + case 86: ld0086(rule.x, rule.y, rule.z, rule.w); break; + case 110: ld0110(rule.x, rule.y, rule.z, rule.w); break; + case 146: ld0146(rule.x, rule.y, rule.z, rule.w); break; + case 170: ld0170(rule.x, rule.y, rule.z, rule.w); break; + case 194: ld0194(rule.x, rule.y, rule.z, rule.w); break; + case 230: ld0230(rule.x, rule.y, rule.z, rule.w); break; + case 266: ld0266(rule.x, rule.y, rule.z, rule.w); break; + case 302: ld0302(rule.x, rule.y, rule.z, rule.w); break; + case 350: ld0350(rule.x, rule.y, rule.z, rule.w); break; + case 434: ld0434(rule.x, rule.y, rule.z, rule.w); break; + case 590: ld0590(rule.x, rule.y, rule.z, rule.w); break; + case 770: ld0770(rule.x, rule.y, rule.z, rule.w); break; + case 974: ld0974(rule.x, rule.y, rule.z, rule.w); break; + case 1202: ld1202(rule.x, rule.y, rule.z, rule.w); break; + case 1454: ld1454(rule.x, rule.y, rule.z, rule.w); break; + case 1730: ld1730(rule.x, rule.y, rule.z, rule.w); break; + case 2030: ld2030(rule.x, rule.y, rule.z, rule.w); break; + case 2354: ld2354(rule.x, rule.y, rule.z, rule.w); break; + case 2702: ld2702(rule.x, rule.y, rule.z, rule.w); break; + case 3074: ld3074(rule.x, rule.y, rule.z, rule.w); break; + case 3470: ld3470(rule.x, rule.y, rule.z, rule.w); break; + case 3890: ld3890(rule.x, rule.y, rule.z, rule.w); break; + case 4334: ld4334(rule.x, rule.y, rule.z, rule.w); break; + case 4802: ld4802(rule.x, rule.y, rule.z, rule.w); break; + case 5294: ld5294(rule.x, rule.y, rule.z, rule.w); break; + case 5810: ld5810(rule.x, rule.y, rule.z, rule.w); break; + default: + throw new MathIllegalArgumentException(LocalizedCoreFormats.UNSUPPORTED_QUADRATURE_ORDER, + order, Arrays.toString(AVAILABLE_ORDERS)); + } + return rule; + } + + /** + * Integrate a function over the surface of the unit sphere using the Lebedev rule of the + * given order. + * @param function function to integrate, taking the Cartesian coordinates of a unit-sphere point + * @param order number of points, must be one of {@link #AVAILABLE_ORDERS} + * @return approximation of the integral of {@code function} over the unit sphere + * @throws MathIllegalArgumentException if {@code order} is not one of {@link #AVAILABLE_ORDERS} + * @throws org.hipparchus.exception.NullArgumentException if {@code function} is null + */ + public static double integrate(final TrivariateFunction function, final int order) { + MathUtils.checkNotNull(function); + final Rule rule = getRule(order); + final double[] x = rule.getX(); + final double[] y = rule.getY(); + final double[] z = rule.getZ(); + final double[] w = rule.getW(); + double sum = 0; + for (int i = 0; i < rule.getOrder(); i++) { + sum += w[i] * function.value(x[i], y[i], z[i]); + } + return 4 * Math.PI * sum; + } + + /** + * Generate points under OH (octahedral) symmetry, given a point specified by A and B, with + * weight V, writing into x/y/z/w starting at index {@code start}. + * @param code symmetry code selecting the point pattern to generate + * @param aIn coordinate value A + * @param bIn coordinate value B + * @param v weight assigned to the generated points + * @param x array to write generated x coordinates into + * @param y array to write generated y coordinates into + * @param z array to write generated z coordinates into + * @param w array to write generated weights into + * @param start index to start writing points at + * @return the number of points generated + */ + private static int genOh(final int code, final double aIn, final double bIn, final double v, + final double[] x, final double[] y, final double[] z, final double[] w, + final int start) { + double a = aIn; + double b = bIn; + final double c; + final int num; + int n = start; + switch (code) { + case 1: { + a = 1.0; + x[n] = a; y[n] = 0.0; z[n] = 0.0; w[n] = v; n++; + x[n] = -a; y[n] = 0.0; z[n] = 0.0; w[n] = v; n++; + x[n] = 0.0; y[n] = a; z[n] = 0.0; w[n] = v; n++; + x[n] = 0.0; y[n] = -a; z[n] = 0.0; w[n] = v; n++; + x[n] = 0.0; y[n] = 0.0; z[n] = a; w[n] = v; n++; + x[n] = 0.0; y[n] = 0.0; z[n] = -a; w[n] = v; n++; + num = 6; + break; + } + case 2: { + a = Math.sqrt(0.5); + x[n] = 0; y[n] = a; z[n] = a; w[n] = v; n++; + x[n] = 0; y[n] = -a; z[n] = a; w[n] = v; n++; + x[n] = 0; y[n] = a; z[n] = -a; w[n] = v; n++; + x[n] = 0; y[n] = -a; z[n] = -a; w[n] = v; n++; + x[n] = a; y[n] = 0; z[n] = a; w[n] = v; n++; + x[n] = -a; y[n] = 0; z[n] = a; w[n] = v; n++; + x[n] = a; y[n] = 0; z[n] = -a; w[n] = v; n++; + x[n] = -a; y[n] = 0; z[n] = -a; w[n] = v; n++; + x[n] = a; y[n] = a; z[n] = 0; w[n] = v; n++; + x[n] = -a; y[n] = a; z[n] = 0; w[n] = v; n++; + x[n] = a; y[n] = -a; z[n] = 0; w[n] = v; n++; + x[n] = -a; y[n] = -a; z[n] = 0; w[n] = v; n++; + num = 12; + break; + } + case 3: { + a = Math.sqrt(1.0 / 3.0); + x[n] = a; y[n] = a; z[n] = a; w[n] = v; n++; + x[n] = -a; y[n] = a; z[n] = a; w[n] = v; n++; + x[n] = a; y[n] = -a; z[n] = a; w[n] = v; n++; + x[n] = -a; y[n] = -a; z[n] = a; w[n] = v; n++; + x[n] = a; y[n] = a; z[n] = -a; w[n] = v; n++; + x[n] = -a; y[n] = a; z[n] = -a; w[n] = v; n++; + x[n] = a; y[n] = -a; z[n] = -a; w[n] = v; n++; + x[n] = -a; y[n] = -a; z[n] = -a; w[n] = v; n++; + num = 8; + break; + } + case 4: { + b = Math.sqrt(1.0 - 2.0 * a * a); + x[n] = a; y[n] = a; z[n] = b; w[n] = v; n++; + x[n] = -a; y[n] = a; z[n] = b; w[n] = v; n++; + x[n] = a; y[n] = -a; z[n] = b; w[n] = v; n++; + x[n] = -a; y[n] = -a; z[n] = b; w[n] = v; n++; + x[n] = a; y[n] = a; z[n] = -b; w[n] = v; n++; + x[n] = -a; y[n] = a; z[n] = -b; w[n] = v; n++; + x[n] = a; y[n] = -a; z[n] = -b; w[n] = v; n++; + x[n] = -a; y[n] = -a; z[n] = -b; w[n] = v; n++; + x[n] = a; y[n] = b; z[n] = a; w[n] = v; n++; + x[n] = -a; y[n] = b; z[n] = a; w[n] = v; n++; + x[n] = a; y[n] = -b; z[n] = a; w[n] = v; n++; + x[n] = -a; y[n] = -b; z[n] = a; w[n] = v; n++; + x[n] = a; y[n] = b; z[n] = -a; w[n] = v; n++; + x[n] = -a; y[n] = b; z[n] = -a; w[n] = v; n++; + x[n] = a; y[n] = -b; z[n] = -a; w[n] = v; n++; + x[n] = -a; y[n] = -b; z[n] = -a; w[n] = v; n++; + x[n] = b; y[n] = a; z[n] = a; w[n] = v; n++; + x[n] = -b; y[n] = a; z[n] = a; w[n] = v; n++; + x[n] = b; y[n] = -a; z[n] = a; w[n] = v; n++; + x[n] = -b; y[n] = -a; z[n] = a; w[n] = v; n++; + x[n] = b; y[n] = a; z[n] = -a; w[n] = v; n++; + x[n] = -b; y[n] = a; z[n] = -a; w[n] = v; n++; + x[n] = b; y[n] = -a; z[n] = -a; w[n] = v; n++; + x[n] = -b; y[n] = -a; z[n] = -a; w[n] = v; n++; + num = 24; + break; + } + case 5: { + b = Math.sqrt(1.0 - a * a); + x[n] = a; y[n] = b; z[n] = 0; w[n] = v; n++; + x[n] = -a; y[n] = b; z[n] = 0; w[n] = v; n++; + x[n] = a; y[n] = -b; z[n] = 0; w[n] = v; n++; + x[n] = -a; y[n] = -b; z[n] = 0; w[n] = v; n++; + x[n] = b; y[n] = a; z[n] = 0; w[n] = v; n++; + x[n] = -b; y[n] = a; z[n] = 0; w[n] = v; n++; + x[n] = b; y[n] = -a; z[n] = 0; w[n] = v; n++; + x[n] = -b; y[n] = -a; z[n] = 0; w[n] = v; n++; + x[n] = a; y[n] = 0; z[n] = b; w[n] = v; n++; + x[n] = -a; y[n] = 0; z[n] = b; w[n] = v; n++; + x[n] = a; y[n] = 0; z[n] = -b; w[n] = v; n++; + x[n] = -a; y[n] = 0; z[n] = -b; w[n] = v; n++; + x[n] = b; y[n] = 0; z[n] = a; w[n] = v; n++; + x[n] = -b; y[n] = 0; z[n] = a; w[n] = v; n++; + x[n] = b; y[n] = 0; z[n] = -a; w[n] = v; n++; + x[n] = -b; y[n] = 0; z[n] = -a; w[n] = v; n++; + x[n] = 0; y[n] = a; z[n] = b; w[n] = v; n++; + x[n] = 0; y[n] = -a; z[n] = b; w[n] = v; n++; + x[n] = 0; y[n] = a; z[n] = -b; w[n] = v; n++; + x[n] = 0; y[n] = -a; z[n] = -b; w[n] = v; n++; + x[n] = 0; y[n] = b; z[n] = a; w[n] = v; n++; + x[n] = 0; y[n] = -b; z[n] = a; w[n] = v; n++; + x[n] = 0; y[n] = b; z[n] = -a; w[n] = v; n++; + x[n] = 0; y[n] = -b; z[n] = -a; w[n] = v; n++; + num = 24; + break; + } + case 6: { + c = Math.sqrt(1.0 - a * a - b * b); + x[n] = a; y[n] = b; z[n] = c; w[n] = v; n++; + x[n] = -a; y[n] = b; z[n] = c; w[n] = v; n++; + x[n] = a; y[n] = -b; z[n] = c; w[n] = v; n++; + x[n] = -a; y[n] = -b; z[n] = c; w[n] = v; n++; + x[n] = a; y[n] = b; z[n] = -c; w[n] = v; n++; + x[n] = -a; y[n] = b; z[n] = -c; w[n] = v; n++; + x[n] = a; y[n] = -b; z[n] = -c; w[n] = v; n++; + x[n] = -a; y[n] = -b; z[n] = -c; w[n] = v; n++; + x[n] = a; y[n] = c; z[n] = b; w[n] = v; n++; + x[n] = -a; y[n] = c; z[n] = b; w[n] = v; n++; + x[n] = a; y[n] = -c; z[n] = b; w[n] = v; n++; + x[n] = -a; y[n] = -c; z[n] = b; w[n] = v; n++; + x[n] = a; y[n] = c; z[n] = -b; w[n] = v; n++; + x[n] = -a; y[n] = c; z[n] = -b; w[n] = v; n++; + x[n] = a; y[n] = -c; z[n] = -b; w[n] = v; n++; + x[n] = -a; y[n] = -c; z[n] = -b; w[n] = v; n++; + x[n] = b; y[n] = a; z[n] = c; w[n] = v; n++; + x[n] = -b; y[n] = a; z[n] = c; w[n] = v; n++; + x[n] = b; y[n] = -a; z[n] = c; w[n] = v; n++; + x[n] = -b; y[n] = -a; z[n] = c; w[n] = v; n++; + x[n] = b; y[n] = a; z[n] = -c; w[n] = v; n++; + x[n] = -b; y[n] = a; z[n] = -c; w[n] = v; n++; + x[n] = b; y[n] = -a; z[n] = -c; w[n] = v; n++; + x[n] = -b; y[n] = -a; z[n] = -c; w[n] = v; n++; + x[n] = b; y[n] = c; z[n] = a; w[n] = v; n++; + x[n] = -b; y[n] = c; z[n] = a; w[n] = v; n++; + x[n] = b; y[n] = -c; z[n] = a; w[n] = v; n++; + x[n] = -b; y[n] = -c; z[n] = a; w[n] = v; n++; + x[n] = b; y[n] = c; z[n] = -a; w[n] = v; n++; + x[n] = -b; y[n] = c; z[n] = -a; w[n] = v; n++; + x[n] = b; y[n] = -c; z[n] = -a; w[n] = v; n++; + x[n] = -b; y[n] = -c; z[n] = -a; w[n] = v; n++; + x[n] = c; y[n] = a; z[n] = b; w[n] = v; n++; + x[n] = -c; y[n] = a; z[n] = b; w[n] = v; n++; + x[n] = c; y[n] = -a; z[n] = b; w[n] = v; n++; + x[n] = -c; y[n] = -a; z[n] = b; w[n] = v; n++; + x[n] = c; y[n] = a; z[n] = -b; w[n] = v; n++; + x[n] = -c; y[n] = a; z[n] = -b; w[n] = v; n++; + x[n] = c; y[n] = -a; z[n] = -b; w[n] = v; n++; + x[n] = -c; y[n] = -a; z[n] = -b; w[n] = v; n++; + x[n] = c; y[n] = b; z[n] = a; w[n] = v; n++; + x[n] = -c; y[n] = b; z[n] = a; w[n] = v; n++; + x[n] = c; y[n] = -b; z[n] = a; w[n] = v; n++; + x[n] = -c; y[n] = -b; z[n] = a; w[n] = v; n++; + x[n] = c; y[n] = b; z[n] = -a; w[n] = v; n++; + x[n] = -c; y[n] = b; z[n] = -a; w[n] = v; n++; + x[n] = c; y[n] = -b; z[n] = -a; w[n] = v; n++; + x[n] = -c; y[n] = -b; z[n] = -a; w[n] = v; n++; + num = 48; + break; + } + default: + throw new IllegalArgumentException("GEN_OH - Illegal value of code: " + code); + } + return num; + } + + private static void ld0006(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + final double a = 0.0; + final double b = 0.0; + final double v = 0.1666666666666667; + n += genOh(1, a, b, v, x, y, z, w, n); + } + + private static void ld0014(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + final double a = 0.0; + final double b = 0.0; + double v; + v = 0.6666666666666667e-1; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.7500000000000000e-1; + n += genOh(3, a, b, v, x, y, z, w, n); + } + + private static void ld0026(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + final double a = 0.0; + final double b = 0.0; + double v; + v = 0.4761904761904762e-1; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.3809523809523810e-1; + n += genOh(2, a, b, v, x, y, z, w, n); + v = 0.3214285714285714e-1; + n += genOh(3, a, b, v, x, y, z, w, n); + } + + private static void ld0038(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + final double b = 0.0; + double v; + v = 0.9523809523809524e-2; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.3214285714285714e-1; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.4597008433809831; + v = 0.2857142857142857e-1; + n += genOh(5, a, b, v, x, y, z, w, n); + } + + private static void ld0050(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + final double b = 0.0; + double v; + v = 0.1269841269841270e-1; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.2257495590828924e-1; + n += genOh(2, a, b, v, x, y, z, w, n); + v = 0.2109375000000000e-1; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.3015113445777636; + v = 0.2017333553791887e-1; + n += genOh(4, a, b, v, x, y, z, w, n); + } + + private static void ld0074(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + final double b = 0.0; + double v; + v = 0.5130671797338464e-3; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.1660406956574204e-1; + n += genOh(2, a, b, v, x, y, z, w, n); + v = -0.2958603896103896e-1; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.4803844614152614; + v = 0.2657620708215946e-1; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3207726489807764; + v = 0.1652217099371571e-1; + n += genOh(5, a, b, v, x, y, z, w, n); + } + + private static void ld0086(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + final double b = 0.0; + double v; + v = 0.1154401154401154e-1; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.1194390908585628e-1; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.3696028464541502; + v = 0.1111055571060340e-1; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6943540066026664; + v = 0.1187650129453714e-1; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3742430390903412; + v = 0.1181230374690448e-1; + n += genOh(5, a, b, v, x, y, z, w, n); + } + + private static void ld0110(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + final double b = 0.0; + double v; + v = 0.3828270494937162e-2; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.9793737512487512e-2; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.1851156353447362; + v = 0.8211737283191111e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6904210483822922; + v = 0.9942814891178103e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3956894730559419; + v = 0.9595471336070963e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4783690288121502; + v = 0.9694996361663028e-2; + n += genOh(5, a, b, v, x, y, z, w, n); + } + + private static void ld0146(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = 0.5996313688621381e-3; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.7372999718620756e-2; + n += genOh(2, a, b, v, x, y, z, w, n); + v = 0.7210515360144488e-2; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.6764410400114264; + v = 0.7116355493117555e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4174961227965453; + v = 0.6753829486314477e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1574676672039082; + v = 0.7574394159054034e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1403553811713183; + b = 0.4493328323269557; + v = 0.6991087353303262e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld0170(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = 0.5544842902037365e-2; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.6071332770670752e-2; + n += genOh(2, a, b, v, x, y, z, w, n); + v = 0.6383674773515093e-2; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.2551252621114134; + v = 0.5183387587747790e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6743601460362766; + v = 0.6317929009813725e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4318910696719410; + v = 0.6201670006589077e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2613931360335988; + v = 0.5477143385137348e-2; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.4990453161796037; + b = 0.1446630744325115; + v = 0.5968383987681156e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld0194(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = 0.1782340447244611e-2; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.5716905949977102e-2; + n += genOh(2, a, b, v, x, y, z, w, n); + v = 0.5573383178848738e-2; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.6712973442695226; + v = 0.5608704082587997e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2892465627575439; + v = 0.5158237711805383e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4446933178717437; + v = 0.5518771467273614e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1299335447650067; + v = 0.4106777028169394e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3457702197611283; + v = 0.5051846064614808e-2; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.1590417105383530; + b = 0.8360360154824589; + v = 0.5530248916233094e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld0230(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = -0.5522639919727325e-1; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.4450274607445226e-2; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.4492044687397611; + v = 0.4496841067921404e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2520419490210201; + v = 0.5049153450478750e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6981906658447242; + v = 0.3976408018051883e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6587405243460960; + v = 0.4401400650381014e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4038544050097660e-1; + v = 0.1724544350544401e-1; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5823842309715585; + v = 0.4231083095357343e-2; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.3545877390518688; + v = 0.5198069864064399e-2; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.2272181808998187; + b = 0.4864661535886647; + v = 0.4695720972568883e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld0266(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = -0.1313769127326952e-2; + n += genOh(1, a, b, v, x, y, z, w, n); + v = -0.2522728704859336e-2; + n += genOh(2, a, b, v, x, y, z, w, n); + v = 0.4186853881700583e-2; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.7039373391585475; + v = 0.5315167977810885e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1012526248572414; + v = 0.4047142377086219e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4647448726420539; + v = 0.4112482394406990e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3277420654971629; + v = 0.3595584899758782e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6620338663699974; + v = 0.4256131351428158e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.8506508083520399; + v = 0.4229582700647240e-2; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.3233484542692899; + b = 0.1153112011009701; + v = 0.4080914225780505e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2314790158712601; + b = 0.5244939240922365; + v = 0.4071467593830964e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld0302(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = 0.8545911725128148e-3; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.3599119285025571e-2; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.3515640345570105; + v = 0.3449788424305883e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6566329410219612; + v = 0.3604822601419882e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4729054132581005; + v = 0.3576729661743367e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.9618308522614784e-1; + v = 0.2352101413689164e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2219645236294178; + v = 0.3108953122413675e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7011766416089545; + v = 0.3650045807677255e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2644152887060663; + v = 0.2982344963171804e-2; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.5718955891878961; + v = 0.3600820932216460e-2; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.2510034751770465; + b = 0.8000727494073952; + v = 0.3571540554273387e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1233548532583327; + b = 0.4127724083168531; + v = 0.3392312205006170e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld0350(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = 0.3006796749453936e-2; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.3050627745650771e-2; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.7068965463912316; + v = 0.1621104600288991e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4794682625712025; + v = 0.3005701484901752e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1927533154878019; + v = 0.2990992529653774e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6930357961327123; + v = 0.2982170644107595e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3608302115520091; + v = 0.2721564237310992e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6498486161496169; + v = 0.3033513795811141e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1932945013230339; + v = 0.3007949555218533e-2; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.3800494919899303; + v = 0.2881964603055307e-2; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.2899558825499574; + b = 0.7934537856582316; + v = 0.2958357626535696e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.9684121455103957e-1; + b = 0.8280801506686862; + v = 0.3036020026407088e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1833434647041659; + b = 0.9074658265305127; + v = 0.2832187403926303e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld0434(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = 0.5265897968224436e-3; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.2548219972002607e-2; + n += genOh(2, a, b, v, x, y, z, w, n); + v = 0.2512317418927307e-2; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.6909346307509111; + v = 0.2530403801186355e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1774836054609158; + v = 0.2014279020918528e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4914342637784746; + v = 0.2501725168402936e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6456664707424256; + v = 0.2513267174597564e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2861289010307638; + v = 0.2302694782227416e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7568084367178018e-1; + v = 0.1462495621594614e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3927259763368002; + v = 0.2445373437312980e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.8818132877794288; + v = 0.2417442375638981e-2; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.9776428111182649; + v = 0.1910951282179532e-2; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.2054823696403044; + b = 0.8689460322872412; + v = 0.2416930044324775e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5905157048925271; + b = 0.7999278543857286; + v = 0.2512236854563495e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5550152361076807; + b = 0.7717462626915901; + v = 0.2496644054553086e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.9371809858553722; + b = 0.3344363145343455; + v = 0.2236607760437849e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld0590(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = 0.3095121295306187e-3; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.1852379698597489e-2; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.7040954938227469; + v = 0.1871790639277744e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6807744066455243; + v = 0.1858812585438317e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6372546939258752; + v = 0.1852028828296213e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5044419707800358; + v = 0.1846715956151242e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4215761784010967; + v = 0.1818471778162769e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3317920736472123; + v = 0.1749564657281154e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2384736701421887; + v = 0.1617210647254411e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1459036449157763; + v = 0.1384737234851692e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6095034115507196e-1; + v = 0.9764331165051050e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6116843442009876; + v = 0.1857161196774078e-2; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.3964755348199858; + v = 0.1705153996395864e-2; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.1724782009907724; + v = 0.1300321685886048e-2; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.5610263808622060; + b = 0.3518280927733519; + v = 0.1842866472905286e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4742392842551980; + b = 0.2634716655937950; + v = 0.1802658934377451e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5984126497885380; + b = 0.1816640840360209; + v = 0.1849830560443660e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3791035407695563; + b = 0.1720795225656878; + v = 0.1713904507106709e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2778673190586244; + b = 0.8213021581932511e-1; + v = 0.1555213603396808e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5033564271075117; + b = 0.8999205842074875e-1; + v = 0.1802239128008525e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld0770(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = 0.2192942088181184e-3; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.1436433617319080e-2; + n += genOh(2, a, b, v, x, y, z, w, n); + v = 0.1421940344335877e-2; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.5087204410502360e-1; + v = 0.6798123511050502e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1228198790178831; + v = 0.9913184235294912e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2026890814408786; + v = 0.1180207833238949e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2847745156464294; + v = 0.1296599602080921e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3656719078978026; + v = 0.1365871427428316e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4428264886713469; + v = 0.1402988604775325e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5140619627249735; + v = 0.1418645563595609e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6306401219166803; + v = 0.1421376741851662e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6716883332022612; + v = 0.1423996475490962e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6979792685336881; + v = 0.1431554042178567e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1446865674195309; + v = 0.9254401499865368e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.3390263475411216; + v = 0.1250239995053509e-2; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.5335804651263506; + v = 0.1394365843329230e-2; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.6944024393349413e-1; + b = 0.2355187894242326; + v = 0.1127089094671749e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2269004109529460; + b = 0.4102182474045730; + v = 0.1345753760910670e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.8025574607775339e-1; + b = 0.6214302417481605; + v = 0.1424957283316783e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1467999527896572; + b = 0.3245284345717394; + v = 0.1261523341237750e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1571507769824727; + b = 0.5224482189696630; + v = 0.1392547106052696e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2365702993157246; + b = 0.6017546634089558; + v = 0.1418761677877656e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.7714815866765732e-1; + b = 0.4346575516141163; + v = 0.1338366684479554e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3062936666210730; + b = 0.4908826589037616; + v = 0.1393700862676131e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3822477379524787; + b = 0.5648768149099500; + v = 0.1415914757466932e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld0974(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = 0.1438294190527431e-3; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.1125772288287004e-2; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.4292963545341347e-1; + v = 0.4948029341949241e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1051426854086404; + v = 0.7357990109125470e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1750024867623087; + v = 0.8889132771304384e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2477653379650257; + v = 0.9888347838921435e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3206567123955957; + v = 0.1053299681709471e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3916520749849983; + v = 0.1092778807014578e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4590825874187624; + v = 0.1114389394063227e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5214563888415861; + v = 0.1123724788051555e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6253170244654199; + v = 0.1125239325243814e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6637926744523170; + v = 0.1126153271815905e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6910410398498301; + v = 0.1130286931123841e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7052907007457760; + v = 0.1134986534363955e-2; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1236686762657990; + v = 0.6823367927109931e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.2940777114468387; + v = 0.9454158160447096e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.4697753849207649; + v = 0.1074429975385679e-2; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.6334563241139567; + v = 0.1129300086569132e-2; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.5974048614181342e-1; + b = 0.2029128752777523; + v = 0.8436884500901954e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1375760408473636; + b = 0.4602621942484054; + v = 0.1075255720448885e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3391016526336286; + b = 0.5030673999662036; + v = 0.1108577236864462e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1271675191439820; + b = 0.2817606422442134; + v = 0.9566475323783357e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2693120740413512; + b = 0.4331561291720157; + v = 0.1080663250717391e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1419786452601918; + b = 0.6256167358580814; + v = 0.1126797131196295e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6709284600738255e-1; + b = 0.3798395216859157; + v = 0.1022568715358061e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.7057738183256172e-1; + b = 0.5517505421423520; + v = 0.1108960267713108e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2783888477882155; + b = 0.6029619156159187; + v = 0.1122790653435766e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1979578938917407; + b = 0.3589606329589096; + v = 0.1032401847117460e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2087307061103274; + b = 0.5348666438135476; + v = 0.1107249382283854e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4055122137872836; + b = 0.5674997546074373; + v = 0.1121780048519972e-2; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld1202(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = 0.1105189233267572e-3; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.9205232738090741e-3; + n += genOh(2, a, b, v, x, y, z, w, n); + v = 0.9133159786443561e-3; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.3712636449657089e-1; + v = 0.3690421898017899e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.9140060412262223e-1; + v = 0.5603990928680660e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1531077852469906; + v = 0.6865297629282609e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2180928891660612; + v = 0.7720338551145630e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2839874532200175; + v = 0.8301545958894795e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3491177600963764; + v = 0.8686692550179628e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4121431461444309; + v = 0.8927076285846890e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4718993627149127; + v = 0.9060820238568219e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5273145452842337; + v = 0.9119777254940867e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6209475332444019; + v = 0.9128720138604181e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6569722711857291; + v = 0.9130714935691735e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6841788309070143; + v = 0.9152873784554116e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7012604330123631; + v = 0.9187436274321654e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1072382215478166; + v = 0.5176977312965694e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.2582068959496968; + v = 0.7331143682101417e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.4172752955306717; + v = 0.8463232836379928e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.5700366911792503; + v = 0.9031122694253992e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.9827986018263947; + b = 0.1771774022615325; + v = 0.6485778453163257e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.9624249230326228; + b = 0.2475716463426288; + v = 0.7435030910982369e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.9402007994128811; + b = 0.3354616289066489; + v = 0.7998527891839054e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.9320822040143202; + b = 0.3173615246611977; + v = 0.8101731497468018e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.9043674199393299; + b = 0.4090268427085357; + v = 0.8483389574594331e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.8912407560074747; + b = 0.3854291150669224; + v = 0.8556299257311812e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.8676435628462708; + b = 0.4932221184851285; + v = 0.8803208679738260e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.8581979986041619; + b = 0.4785320675922435; + v = 0.8811048182425720e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.8396753624049856; + b = 0.4507422593157064; + v = 0.8850282341265444e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.8165288564022188; + b = 0.5632123020762100; + v = 0.9021342299040653e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.8015469370783529; + b = 0.5434303569693900; + v = 0.9010091677105086e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.7773563069070351; + b = 0.5123518486419871; + v = 0.9022692938426915e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.7661621213900394; + b = 0.6394279634749102; + v = 0.9158016174693465e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.7553584143533510; + b = 0.6269805509024392; + v = 0.9131578003189435e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.7344305757559503; + b = 0.6031161693096310; + v = 0.9107813579482705e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.7043837184021765; + b = 0.5693702498468441; + v = 0.9105760258970126e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld1454(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = 0.7777160743261247e-4; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.7557646413004701e-3; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.3229290663413854e-1; + v = 0.2841633806090617e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.8036733271462222e-1; + v = 0.4374419127053555e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1354289960531653; + v = 0.5417174740872172e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1938963861114426; + v = 0.6148000891358593e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2537343715011275; + v = 0.6664394485800705e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3135251434752570; + v = 0.7025039356923220e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3721558339375338; + v = 0.7268511789249627e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4286809575195696; + v = 0.7422637534208629e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4822510128282994; + v = 0.7509545035841214e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5320679333566263; + v = 0.7548535057718401e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6172998195394274; + v = 0.7554088969774001e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6510679849127481; + v = 0.7553147174442808e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6777315251687360; + v = 0.7564767653292297e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6963109410648741; + v = 0.7587991808518730e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7058935009831749; + v = 0.7608261832033027e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.9955546194091857; + v = 0.4021680447874916e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.9734115901794209; + v = 0.5804871793945964e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.9275693732388626; + v = 0.6792151955945159e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.8568022422795103; + v = 0.7336741211286294e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.7623495553719372; + v = 0.7581866300989608e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.5707522908892223; + b = 0.4387028039889501; + v = 0.7538257859800743e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5196463388403083; + b = 0.3858908414762617; + v = 0.7483517247053123e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4646337531215351; + b = 0.3301937372343854; + v = 0.7371763661112059e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4063901697557691; + b = 0.2725423573563777; + v = 0.7183448895756934e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3456329466643087; + b = 0.2139510237495250; + v = 0.6895815529822191e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2831395121050332; + b = 0.1555922309786647; + v = 0.6480105801792886e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2197682022925330; + b = 0.9892878979686097e-1; + v = 0.5897558896594636e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1564696098650355; + b = 0.4598642910675510e-1; + v = 0.5095708849247346e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6027356673721295; + b = 0.3376625140173426; + v = 0.7536906428909755e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5496032320255096; + b = 0.2822301309727988; + v = 0.7472505965575118e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4921707755234567; + b = 0.2248632342592540; + v = 0.7343017132279698e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4309422998598483; + b = 0.1666224723456479; + v = 0.7130871582177445e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3664108182313672; + b = 0.1086964901822169; + v = 0.6817022032112776e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2990189057758436; + b = 0.5251989784120085e-1; + v = 0.6380941145604121e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6268724013144998; + b = 0.2297523657550023; + v = 0.7550381377920310e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5707324144834607; + b = 0.1723080607093800; + v = 0.7478646640144802e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5096360901960365; + b = 0.1140238465390513; + v = 0.7335918720601220e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4438729938312456; + b = 0.5611522095882537e-1; + v = 0.7110120527658118e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6419978471082389; + b = 0.1164174423140873; + v = 0.7571363978689501e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5817218061802611; + b = 0.5797589531445219e-1; + v = 0.7489908329079234e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld1730(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = 0.6309049437420976e-4; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.6398287705571748e-3; + n += genOh(2, a, b, v, x, y, z, w, n); + v = 0.6357185073530720e-3; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.2860923126194662e-1; + v = 0.2221207162188168e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7142556767711522e-1; + v = 0.3475784022286848e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1209199540995559; + v = 0.4350742443589804e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1738673106594379; + v = 0.4978569136522127e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2284645438467734; + v = 0.5435036221998053e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2834807671701512; + v = 0.5765913388219542e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3379680145467339; + v = 0.6001200359226003e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3911355454819537; + v = 0.6162178172717512e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4422860353001403; + v = 0.6265218152438485e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4907781568726057; + v = 0.6323987160974212e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5360006153211468; + v = 0.6350767851540569e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6142105973596603; + v = 0.6354362775297107e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6459300387977504; + v = 0.6352302462706235e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6718056125089225; + v = 0.6358117881417972e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6910888533186254; + v = 0.6373101590310117e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7030467416823252; + v = 0.6390428961368665e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.8354951166354646e-1; + v = 0.3186913449946576e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.2050143009099486; + v = 0.4678028558591711e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.3370208290706637; + v = 0.5538829697598626e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.4689051484233963; + v = 0.6044475907190476e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.5939400424557334; + v = 0.6313575103509012e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.1394983311832261; + b = 0.4097581162050343e-1; + v = 0.4078626431855630e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1967999180485014; + b = 0.8851987391293348e-1; + v = 0.4759933057812725e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2546183732548967; + b = 0.1397680182969819; + v = 0.5268151186413440e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3121281074713875; + b = 0.1929452542226526; + v = 0.5643048560507316e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3685981078502492; + b = 0.2467898337061562; + v = 0.5914501076613073e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4233760321547856; + b = 0.3003104124785409; + v = 0.6104561257874195e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4758671236059246; + b = 0.3526684328175033; + v = 0.6230252860707806e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5255178579796463; + b = 0.4031134861145713; + v = 0.6305618761760796e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5718025633734589; + b = 0.4509426448342351; + v = 0.6343092767597889e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2686927772723415; + b = 0.4711322502423248e-1; + v = 0.5176268945737826e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3306006819904809; + b = 0.9784487303942695e-1; + v = 0.5564840313313692e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3904906850594983; + b = 0.1505395810025273; + v = 0.5856426671038980e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4479957951904390; + b = 0.2039728156296050; + v = 0.6066386925777091e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5027076848919780; + b = 0.2571529941121107; + v = 0.6208824962234458e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5542087392260217; + b = 0.3092191375815670; + v = 0.6296314297822907e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6020850887375187; + b = 0.3593807506130276; + v = 0.6340423756791859e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4019851409179594; + b = 0.5063389934378671e-1; + v = 0.5829627677107342e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4635614567449800; + b = 0.1032422269160612; + v = 0.6048693376081110e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5215860931591575; + b = 0.1566322094006254; + v = 0.6202362317732461e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5758202499099271; + b = 0.2098082827491099; + v = 0.6299005328403779e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6259893683876795; + b = 0.2618824114553391; + v = 0.6347722390609353e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5313795124811891; + b = 0.5263245019338556e-1; + v = 0.6203778981238834e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5893317955931995; + b = 0.1061059730982005; + v = 0.6308414671239979e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6426246321215801; + b = 0.1594171564034221; + v = 0.6362706466959498e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6511904367376113; + b = 0.5354789536565540e-1; + v = 0.6375414170333233e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld2030(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = 0.4656031899197431e-4; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.5421549195295507e-3; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.2540835336814348e-1; + v = 0.1778522133346553e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6399322800504915e-1; + v = 0.2811325405682796e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1088269469804125; + v = 0.3548896312631459e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1570670798818287; + v = 0.4090310897173364e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2071163932282514; + v = 0.4493286134169965e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2578914044450844; + v = 0.4793728447962723e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3085687558169623; + v = 0.5015415319164265e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3584719706267024; + v = 0.5175127372677937e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4070135594428709; + v = 0.5285522262081019e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4536618626222638; + v = 0.5356832703713962e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4979195686463577; + v = 0.5397914736175170e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5393075111126999; + v = 0.5416899441599930e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6115617676843916; + v = 0.5419308476889938e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6414308435160159; + v = 0.5416936902030596e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6664099412721607; + v = 0.5419544338703164e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6859161771214913; + v = 0.5428983656630975e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6993625593503890; + v = 0.5442286500098193e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7062393387719380; + v = 0.5452250345057301e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7479028168349763e-1; + v = 0.2568002497728530e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.1848951153969366; + v = 0.3827211700292145e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.3059529066581305; + v = 0.4579491561917824e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.4285556101021362; + v = 0.5042003969083574e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.5468758653496526; + v = 0.5312708889976025e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.6565821978343439; + v = 0.5438401790747117e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.1253901572367117; + b = 0.3681917226439641e-1; + v = 0.3316041873197344e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1775721510383941; + b = 0.7982487607213301e-1; + v = 0.3899113567153771e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2305693358216114; + b = 0.1264640966592335; + v = 0.4343343327201309e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2836502845992063; + b = 0.1751585683418957; + v = 0.4679415262318919e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3361794746232590; + b = 0.2247995907632670; + v = 0.4930847981631031e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3875979172264824; + b = 0.2745299257422246; + v = 0.5115031867540091e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4374019316999074; + b = 0.3236373482441118; + v = 0.5245217148457367e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4851275843340022; + b = 0.3714967859436741; + v = 0.5332041499895321e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5303391803806868; + b = 0.4175353646321745; + v = 0.5384583126021542e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5726197380596287; + b = 0.4612084406355461; + v = 0.5411067210798852e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2431520732564863; + b = 0.4258040133043952e-1; + v = 0.4259797391468714e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3002096800895869; + b = 0.8869424306722721e-1; + v = 0.4604931368460021e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3558554457457432; + b = 0.1368811706510655; + v = 0.4871814878255202e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4097782537048887; + b = 0.1860739985015033; + v = 0.5072242910074885e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4616337666067458; + b = 0.2354235077395853; + v = 0.5217069845235350e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5110707008417874; + b = 0.2842074921347011; + v = 0.5315785966280310e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5577415286163795; + b = 0.3317784414984102; + v = 0.5376833708758905e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6013060431366950; + b = 0.3775299002040700; + v = 0.5408032092069521e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3661596767261781; + b = 0.4599367887164592e-1; + v = 0.4842744917904866e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4237633153506581; + b = 0.9404893773654421e-1; + v = 0.5048926076188130e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4786328454658452; + b = 0.1431377109091971; + v = 0.5202607980478373e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5305702076789774; + b = 0.1924186388843570; + v = 0.5309932388325743e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5793436224231788; + b = 0.2411590944775190; + v = 0.5377419770895208e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6247069017094747; + b = 0.2886871491583605; + v = 0.5411696331677717e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4874315552535204; + b = 0.4804978774953206e-1; + v = 0.5197996293282420e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5427337322059053; + b = 0.9716857199366665e-1; + v = 0.5311120836622945e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5943493747246700; + b = 0.1465205839795055; + v = 0.5384309319956951e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6421314033564943; + b = 0.1953579449803574; + v = 0.5421859504051886e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6020628374713980; + b = 0.4916375015738108e-1; + v = 0.5390948355046314e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6529222529856881; + b = 0.9861621540127005e-1; + v = 0.5433312705027845e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld2354(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = 0.3922616270665292e-4; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.4703831750854424e-3; + n += genOh(2, a, b, v, x, y, z, w, n); + v = 0.4678202801282136e-3; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.2290024646530589e-1; + v = 0.1437832228979900e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5779086652271284e-1; + v = 0.2303572493577644e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.9863103576375984e-1; + v = 0.2933110752447454e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1428155792982185; + v = 0.3402905998359838e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1888978116601463; + v = 0.3759138466870372e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2359091682970210; + v = 0.4030638447899798e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2831228833706171; + v = 0.4236591432242211e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3299495857966693; + v = 0.4390522656946746e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3758840802660796; + v = 0.4502523466626247e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4204751831009480; + v = 0.4580577727783541e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4633068518751051; + v = 0.4631391616615899e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5039849474507313; + v = 0.4660928953698676e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5421265793440747; + v = 0.4674751807936953e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6092660230557310; + v = 0.4676414903932920e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6374654204984869; + v = 0.4674086492347870e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6615136472609892; + v = 0.4674928539483207e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6809487285958127; + v = 0.4680748979686447e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6952980021665196; + v = 0.4690449806389040e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7041245497695400; + v = 0.4699877075860818e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6744033088306065e-1; + v = 0.2099942281069176e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.1678684485334166; + v = 0.3172269150712804e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.2793559049539613; + v = 0.3832051358546523e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.3935264218057639; + v = 0.4252193818146985e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.5052629268232558; + v = 0.4513807963755000e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.6107905315437531; + v = 0.4657797469114178e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.1135081039843524; + b = 0.3331954884662588e-1; + v = 0.2733362800522836e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1612866626099378; + b = 0.7247167465436538e-1; + v = 0.3235485368463559e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2100786550168205; + b = 0.1151539110849745; + v = 0.3624908726013453e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2592282009459942; + b = 0.1599491097143677; + v = 0.3925540070712828e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3081740561320203; + b = 0.2058699956028027; + v = 0.4156129781116235e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3564289781578164; + b = 0.2521624953502911; + v = 0.4330644984623263e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4035587288240703; + b = 0.2982090785797674; + v = 0.4459677725921312e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4491671196373903; + b = 0.3434762087235733; + v = 0.4551593004456795e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4928854782917489; + b = 0.3874831357203437; + v = 0.4613341462749918e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5343646791958988; + b = 0.4297814821746926; + v = 0.4651019618269806e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5732683216530990; + b = 0.4699402260943537; + v = 0.4670249536100625e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2214131583218986; + b = 0.3873602040643895e-1; + v = 0.3549555576441708e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2741796504750071; + b = 0.8089496256902013e-1; + v = 0.3856108245249010e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3259797439149485; + b = 0.1251732177620872; + v = 0.4098622845756882e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3765441148826891; + b = 0.1706260286403185; + v = 0.4286328604268950e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4255773574530558; + b = 0.2165115147300408; + v = 0.4427802198993945e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4727795117058430; + b = 0.2622089812225259; + v = 0.4530473511488561e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5178546895819012; + b = 0.3071721431296201; + v = 0.4600805475703138e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5605141192097460; + b = 0.3508998998801138; + v = 0.4644599059958017e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6004763319352512; + b = 0.3929160876166931; + v = 0.4667274455712508e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3352842634946949; + b = 0.4202563457288019e-1; + v = 0.4069360518020356e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3891971629814670; + b = 0.8614309758870850e-1; + v = 0.4260442819919195e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4409875565542281; + b = 0.1314500879380001; + v = 0.4408678508029063e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4904893058592484; + b = 0.1772189657383859; + v = 0.4518748115548597e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5375056138769549; + b = 0.2228277110050294; + v = 0.4595564875375116e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5818255708669969; + b = 0.2677179935014386; + v = 0.4643988774315846e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6232334858144959; + b = 0.3113675035544165; + v = 0.4668827491646946e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4489485354492058; + b = 0.4409162378368174e-1; + v = 0.4400541823741973e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5015136875933150; + b = 0.8939009917748489e-1; + v = 0.4514512890193797e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5511300550512623; + b = 0.1351806029383365; + v = 0.4596198627347549e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5976720409858000; + b = 0.1808370355053196; + v = 0.4648659016801781e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6409956378989354; + b = 0.2257852192301602; + v = 0.4675502017157673e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5581222330827514; + b = 0.4532173421637160e-1; + v = 0.4598494476455523e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6074705984161695; + b = 0.9117488031840314e-1; + v = 0.4654916955152048e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6532272537379033; + b = 0.1369294213140155; + v = 0.4684709779505137e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6594761494500487; + b = 0.4589901487275583e-1; + v = 0.4691445539106986e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld2702(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = 0.2998675149888161e-4; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.4077860529495355e-3; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.2065562538818703e-1; + v = 0.1185349192520667e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5250918173022379e-1; + v = 0.1913408643425751e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.8993480082038376e-1; + v = 0.2452886577209897e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1306023924436019; + v = 0.2862408183288702e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1732060388531418; + v = 0.3178032258257357e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2168727084820249; + v = 0.3422945667633690e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2609528309173586; + v = 0.3612790520235922e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3049252927938952; + v = 0.3758638229818521e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3483484138084404; + v = 0.3868711798859953e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3908321549106406; + v = 0.3949429933189938e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4320210071894814; + v = 0.4006068107541156e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4715824795890053; + v = 0.4043192149672723e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5091984794078453; + v = 0.4064947495808078e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5445580145650803; + v = 0.4075245619813152e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6072575796841768; + v = 0.4076423540893566e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6339484505755803; + v = 0.4074280862251555e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6570718257486958; + v = 0.4074163756012244e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6762557330090709; + v = 0.4077647795071246e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6911161696923790; + v = 0.4084517552782530e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7012841911659961; + v = 0.4092468459224052e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7064559272410020; + v = 0.4097872687240906e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6123554989894765e-1; + v = 0.1738986811745028e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.1533070348312393; + v = 0.2659616045280191e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.2563902605244206; + v = 0.3240596008171533e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.3629346991663361; + v = 0.3621195964432943e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.4683949968987538; + v = 0.3868838330760539e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.5694479240657952; + v = 0.4018911532693111e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.6634465430993955; + v = 0.4089929432983252e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.1033958573552305; + b = 0.3034544009063584e-1; + v = 0.2279907527706409e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1473521412414395; + b = 0.6618803044247135e-1; + v = 0.2715205490578897e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1924552158705967; + b = 0.1054431128987715; + v = 0.3057917896703976e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2381094362890328; + b = 0.1468263551238858; + v = 0.3326913052452555e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2838121707936760; + b = 0.1894486108187886; + v = 0.3537334711890037e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3291323133373415; + b = 0.2326374238761579; + v = 0.3700567500783129e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3736896978741460; + b = 0.2758485808485768; + v = 0.3825245372589122e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4171406040760013; + b = 0.3186179331996921; + v = 0.3918125171518296e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4591677985256915; + b = 0.3605329796303794; + v = 0.3984720419937579e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4994733831718418; + b = 0.4012147253586509; + v = 0.4029746003338211e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5377731830445096; + b = 0.4403050025570692; + v = 0.4057428632156627e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5737917830001331; + b = 0.4774565904277483; + v = 0.4071719274114857e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2027323586271389; + b = 0.3544122504976147e-1; + v = 0.2990236950664119e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2516942375187273; + b = 0.7418304388646328e-1; + v = 0.3262951734212878e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3000227995257181; + b = 0.1150502745727186; + v = 0.3482634608242413e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3474806691046342; + b = 0.1571963371209364; + v = 0.3656596681700892e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3938103180359209; + b = 0.1999631877247100; + v = 0.3791740467794218e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4387519590455703; + b = 0.2428073457846535; + v = 0.3894034450156905e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4820503960077787; + b = 0.2852575132906155; + v = 0.3968600245508371e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5234573778475101; + b = 0.3268884208674639; + v = 0.4019931351420050e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5627318647235282; + b = 0.3673033321675939; + v = 0.4052108801278599e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5996390607156954; + b = 0.4061211551830290; + v = 0.4068978613940934e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3084780753791947; + b = 0.3860125523100059e-1; + v = 0.3454275351319704e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3589988275920223; + b = 0.7928938987104867e-1; + v = 0.3629963537007920e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4078628415881973; + b = 0.1212614643030087; + v = 0.3770187233889873e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4549287258889735; + b = 0.1638770827382693; + v = 0.3878608613694378e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5000278512957279; + b = 0.2065965798260176; + v = 0.3959065270221274e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5429785044928199; + b = 0.2489436378852235; + v = 0.4015286975463570e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5835939850491711; + b = 0.2904811368946891; + v = 0.4050866785614717e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6216870353444856; + b = 0.3307941957666609; + v = 0.4069320185051913e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4151104662709091; + b = 0.4064829146052554e-1; + v = 0.3760120964062763e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4649804275009218; + b = 0.8258424547294755e-1; + v = 0.3870969564418064e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5124695757009662; + b = 0.1251841962027289; + v = 0.3955287790534055e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5574711100606224; + b = 0.1679107505976331; + v = 0.4015361911302668e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5998597333287227; + b = 0.2102805057358715; + v = 0.4053836986719548e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6395007148516600; + b = 0.2518418087774107; + v = 0.4073578673299117e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5188456224746252; + b = 0.4194321676077518e-1; + v = 0.3954628379231406e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5664190707942778; + b = 0.8457661551921499e-1; + v = 0.4017645508847530e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6110464353283153; + b = 0.1273652932519396; + v = 0.4059030348651293e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6526430302051563; + b = 0.1698173239076354; + v = 0.4080565809484880e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6167551880377548; + b = 0.4266398851548864e-1; + v = 0.4063018753664651e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6607195418355383; + b = 0.8551925814238349e-1; + v = 0.4087191292799671e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld3074(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = 0.2599095953754734e-4; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.3603134089687541e-3; + n += genOh(2, a, b, v, x, y, z, w, n); + v = 0.3586067974412447e-3; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.1886108518723392e-1; + v = 0.9831528474385880e-4; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4800217244625303e-1; + v = 0.1605023107954450e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.8244922058397242e-1; + v = 0.2072200131464099e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1200408362484023; + v = 0.2431297618814187e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1595773530809965; + v = 0.2711819064496707e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2002635973434064; + v = 0.2932762038321116e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2415127590139982; + v = 0.3107032514197368e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2828584158458477; + v = 0.3243808058921213e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3239091015338138; + v = 0.3349899091374030e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3643225097962194; + v = 0.3430580688505218e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4037897083691802; + v = 0.3490124109290343e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4420247515194127; + v = 0.3532148948561955e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4787572538464938; + v = 0.3559862669062833e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5137265251275234; + v = 0.3576224317551411e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5466764056654611; + v = 0.3584050533086076e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6054859420813535; + v = 0.3584903581373224e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6308106701764562; + v = 0.3582991879040586e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6530369230179584; + v = 0.3582371187963125e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6718609524611158; + v = 0.3584353631122350e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6869676499894013; + v = 0.3589120166517785e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6980467077240748; + v = 0.3595445704531601e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7048241721250522; + v = 0.3600943557111074e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5591105222058232e-1; + v = 0.1456447096742039e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.1407384078513916; + v = 0.2252370188283782e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.2364035438976309; + v = 0.2766135443474897e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.3360602737818170; + v = 0.3110729491500851e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.4356292630054665; + v = 0.3342506712303391e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.5321569415256174; + v = 0.3491981834026860e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.6232956305040554; + v = 0.3576003604348932e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.9469870086838469e-1; + b = 0.2778748387309470e-1; + v = 0.1921921305788564e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1353170300568141; + b = 0.6076569878628364e-1; + v = 0.2301458216495632e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1771679481726077; + b = 0.9703072762711040e-1; + v = 0.2604248549522893e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2197066664231751; + b = 0.1354112458524762; + v = 0.2845275425870697e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2624783557374927; + b = 0.1750996479744100; + v = 0.3036870897974840e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3050969521214442; + b = 0.2154896907449802; + v = 0.3188414832298066e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3472252637196021; + b = 0.2560954625740152; + v = 0.3307046414722089e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3885610219026360; + b = 0.2965070050624096; + v = 0.3398330969031360e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4288273776062765; + b = 0.3363641488734497; + v = 0.3466757899705373e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4677662471302948; + b = 0.3753400029836788; + v = 0.3516095923230054e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5051333589553359; + b = 0.4131297522144286; + v = 0.3549645184048486e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5406942145810492; + b = 0.4494423776081795; + v = 0.3570415969441392e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5742204122576457; + b = 0.4839938958841502; + v = 0.3581251798496118e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1865407027225188; + b = 0.3259144851070796e-1; + v = 0.2543491329913348e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2321186453689432; + b = 0.6835679505297343e-1; + v = 0.2786711051330776e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2773159142523882; + b = 0.1062284864451989; + v = 0.2985552361083679e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3219200192237254; + b = 0.1454404409323047; + v = 0.3145867929154039e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3657032593944029; + b = 0.1854018282582510; + v = 0.3273290662067609e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4084376778363622; + b = 0.2256297412014750; + v = 0.3372705511943501e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4499004945751427; + b = 0.2657104425000896; + v = 0.3448274437851510e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4898758141326335; + b = 0.3052755487631557; + v = 0.3503592783048583e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5281547442266309; + b = 0.3439863920645423; + v = 0.3541854792663162e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5645346989813992; + b = 0.3815229456121914; + v = 0.3565995517909428e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5988181252159848; + b = 0.4175752420966734; + v = 0.3578802078302898e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2850425424471603; + b = 0.3562149509862536e-1; + v = 0.2958644592860982e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3324619433027876; + b = 0.7330318886871096e-1; + v = 0.3119548129116835e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3785848333076282; + b = 0.1123226296008472; + v = 0.3250745225005984e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4232891028562115; + b = 0.1521084193337708; + v = 0.3355153415935208e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4664287050829722; + b = 0.1921844459223610; + v = 0.3435847568549328e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5078458493735726; + b = 0.2321360989678303; + v = 0.3495786831622488e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5473779816204180; + b = 0.2715886486360520; + v = 0.3537767805534621e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5848617133811376; + b = 0.3101924707571355; + v = 0.3564459815421428e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6201348281584888; + b = 0.3476121052890973; + v = 0.3578464061225468e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3852191185387871; + b = 0.3763224880035108e-1; + v = 0.3239748762836212e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4325025061073423; + b = 0.7659581935637135e-1; + v = 0.3345491784174287e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4778486229734490; + b = 0.1163381306083900; + v = 0.3429126177301782e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5211663693009000; + b = 0.1563890598752899; + v = 0.3492420343097421e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5623469504853703; + b = 0.1963320810149200; + v = 0.3537399050235257e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6012718188659246; + b = 0.2357847407258738; + v = 0.3566209152659172e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6378179206390117; + b = 0.2743846121244060; + v = 0.3581084321919782e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4836936460214534; + b = 0.3895902610739024e-1; + v = 0.3426522117591512e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5293792562683797; + b = 0.7871246819312640e-1; + v = 0.3491848770121379e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5726281253100033; + b = 0.1187963808202981; + v = 0.3539318235231476e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6133658776169068; + b = 0.1587914708061787; + v = 0.3570231438458694e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6515085491865307; + b = 0.1983058575227646; + v = 0.3586207335051714e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5778692716064976; + b = 0.3977209689791542e-1; + v = 0.3541196205164025e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6207904288086192; + b = 0.7990157592981152e-1; + v = 0.3574296911573953e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6608688171046802; + b = 0.1199671308754309; + v = 0.3591993279818963e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6656263089489130; + b = 0.4015955957805969e-1; + v = 0.3595855034661997e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld3470(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = 0.2040382730826330e-4; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.3178149703889544e-3; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.1721420832906233e-1; + v = 0.8288115128076110e-4; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4408875374981770e-1; + v = 0.1360883192522954e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7594680813878681e-1; + v = 0.1766854454542662e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1108335359204799; + v = 0.2083153161230153e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1476517054388567; + v = 0.2333279544657158e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1856731870860615; + v = 0.2532809539930247e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2243634099428821; + v = 0.2692472184211158e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2633006881662727; + v = 0.2819949946811885e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3021340904916283; + v = 0.2920953593973030e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3405594048030089; + v = 0.2999889782948352e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3783044434007372; + v = 0.3060292120496902e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4151194767407910; + v = 0.3105109167522192e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4507705766443257; + v = 0.3136902387550312e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4850346056573187; + v = 0.3157984652454632e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5176950817792470; + v = 0.3170516518425422e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5485384240820989; + v = 0.3176568425633755e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6039117238943308; + v = 0.3177198411207062e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6279956655573113; + v = 0.3175519492394733e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6493636169568952; + v = 0.3174654952634756e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6677644117704504; + v = 0.3175676415467654e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6829368572115624; + v = 0.3178923417835410e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6946195818184121; + v = 0.3183788287531909e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7025711542057026; + v = 0.3188755151918807e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7066004767140119; + v = 0.3191916889313849e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5132537689946062e-1; + v = 0.1231779611744508e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.1297994661331225; + v = 0.1924661373839880e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.2188852049401307; + v = 0.2380881867403424e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.3123174824903457; + v = 0.2693100663037885e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.4064037620738195; + v = 0.2908673382834366e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.4984958396944782; + v = 0.3053914619381535e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.5864975046021365; + v = 0.3143916684147777e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.6686711634580175; + v = 0.3187042244055363e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.8715738780835950e-1; + b = 0.2557175233367578e-1; + v = 0.1635219535869790e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1248383123134007; + b = 0.5604823383376681e-1; + v = 0.1968109917696070e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1638062693383378; + b = 0.8968568601900765e-1; + v = 0.2236754342249974e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2035586203373176; + b = 0.1254086651976279; + v = 0.2453186687017181e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2436798975293774; + b = 0.1624780150162012; + v = 0.2627551791580541e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2838207507773806; + b = 0.2003422342683208; + v = 0.2767654860152220e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3236787502217692; + b = 0.2385628026255263; + v = 0.2879467027765895e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3629849554840691; + b = 0.2767731148783578; + v = 0.2967639918918702e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4014948081992087; + b = 0.3146542308245309; + v = 0.3035900684660351e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4389818379260225; + b = 0.3519196415895088; + v = 0.3087338237298308e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4752331143674377; + b = 0.3883050984023654; + v = 0.3124608838860167e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5100457318374018; + b = 0.4235613423908649; + v = 0.3150084294226743e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5432238388954868; + b = 0.4574484717196220; + v = 0.3165958398598402e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5745758685072442; + b = 0.4897311639255524; + v = 0.3174320440957372e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1723981437592809; + b = 0.3010630597881105e-1; + v = 0.2182188909812599e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2149553257844597; + b = 0.6326031554204694e-1; + v = 0.2399727933921445e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2573256081247422; + b = 0.9848566980258631e-1; + v = 0.2579796133514652e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2993163751238106; + b = 0.1350835952384266; + v = 0.2727114052623535e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3407238005148000; + b = 0.1725184055442181; + v = 0.2846327656281355e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3813454978483264; + b = 0.2103559279730725; + v = 0.2941491102051334e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4209848104423343; + b = 0.2482278774554860; + v = 0.3016049492136107e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4594519699996300; + b = 0.2858099509982883; + v = 0.3072949726175648e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4965640166185930; + b = 0.3228075659915428; + v = 0.3114768142886460e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5321441655571562; + b = 0.3589459907204151; + v = 0.3143823673666223e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5660208438582166; + b = 0.3939630088864310; + v = 0.3162269764661535e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5980264315964364; + b = 0.4276029922949089; + v = 0.3172164663759821e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2644215852350733; + b = 0.3300939429072552e-1; + v = 0.2554575398967435e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3090113743443063; + b = 0.6803887650078501e-1; + v = 0.2701704069135677e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3525871079197808; + b = 0.1044326136206709; + v = 0.2823693413468940e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3950418005354029; + b = 0.1416751597517679; + v = 0.2922898463214289e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4362475663430163; + b = 0.1793408610504821; + v = 0.3001829062162428e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4760661812145854; + b = 0.2170630750175722; + v = 0.3062890864542953e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5143551042512103; + b = 0.2545145157815807; + v = 0.3108328279264746e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5509709026935597; + b = 0.2913940101706601; + v = 0.3140243146201245e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5857711030329428; + b = 0.3274169910910705; + v = 0.3160638030977130e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6186149917404392; + b = 0.3623081329317265; + v = 0.3171462882206275e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3586894569557064; + b = 0.3497354386450040e-1; + v = 0.2812388416031796e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4035266610019441; + b = 0.7129736739757095e-1; + v = 0.2912137500288045e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4467775312332510; + b = 0.1084758620193165; + v = 0.2993241256502206e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4883638346608543; + b = 0.1460915689241772; + v = 0.3057101738983822e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5281908348434601; + b = 0.1837790832369980; + v = 0.3105319326251432e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5661542687149311; + b = 0.2212075390874021; + v = 0.3139565514428167e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6021450102031452; + b = 0.2580682841160985; + v = 0.3161543006806366e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6360520783610050; + b = 0.2940656362094121; + v = 0.3172985960613294e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4521611065087196; + b = 0.3631055365867002e-1; + v = 0.2989400336901431e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4959365651560963; + b = 0.7348318468484350e-1; + v = 0.3054555883947677e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5376815804038283; + b = 0.1111087643812648; + v = 0.3104764960807702e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5773314480243768; + b = 0.1488226085145408; + v = 0.3141015825977616e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6148113245575056; + b = 0.1862892274135151; + v = 0.3164520621159896e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6500407462842380; + b = 0.2231909701714456; + v = 0.3176652305912204e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5425151448707213; + b = 0.3718201306118944e-1; + v = 0.3105097161023939e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5841860556907931; + b = 0.7483616335067346e-1; + v = 0.3143014117890550e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6234632186851500; + b = 0.1125990834266120; + v = 0.3168172866287200e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6602934551848843; + b = 0.1501303813157619; + v = 0.3181401865570968e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6278573968375105; + b = 0.3767559930245720e-1; + v = 0.3170663659156037e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6665611711264577; + b = 0.7548443301360158e-1; + v = 0.3185447944625510e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld3890(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = 0.1807395252196920e-4; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.2848008782238827e-3; + n += genOh(2, a, b, v, x, y, z, w, n); + v = 0.2836065837530581e-3; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.1587876419858352e-1; + v = 0.7013149266673816e-4; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4069193593751206e-1; + v = 0.1162798021956766e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7025888115257997e-1; + v = 0.1518728583972105e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1027495450028704; + v = 0.1798796108216934e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1371457730893426; + v = 0.2022593385972785e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1727758532671953; + v = 0.2203093105575464e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2091492038929037; + v = 0.2349294234299855e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2458813281751915; + v = 0.2467682058747003e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2826545859450066; + v = 0.2563092683572224e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3191957291799622; + v = 0.2639253896763318e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3552621469299578; + v = 0.2699137479265108e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3906329503406230; + v = 0.2745196420166739e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4251028614093031; + v = 0.2779529197397593e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4584777520111870; + v = 0.2803996086684265e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4905711358710193; + v = 0.2820302356715842e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5212011669847385; + v = 0.2830056747491068e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5501878488737995; + v = 0.2834808950776839e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6025037877479342; + v = 0.2835282339078929e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6254572689549016; + v = 0.2833819267065800e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6460107179528248; + v = 0.2832858336906784e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6639541138154251; + v = 0.2833268235451244e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6790688515667495; + v = 0.2835432677029253e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6911338580371512; + v = 0.2839091722743049e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6999385956126490; + v = 0.2843308178875841e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7053037748656896; + v = 0.2846703550533846e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4732224387180115e-1; + v = 0.1051193406971900e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.1202100529326803; + v = 0.1657871838796974e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.2034304820664855; + v = 0.2064648113714232e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.2912285643573002; + v = 0.2347942745819741e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.3802361792726768; + v = 0.2547775326597726e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.4680598511056146; + v = 0.2686876684847025e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.5528151052155599; + v = 0.2778665755515867e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.6329386307803041; + v = 0.2830996616782929e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.8056516651369069e-1; + b = 0.2363454684003124e-1; + v = 0.1403063340168372e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1156476077139389; + b = 0.5191291632545936e-1; + v = 0.1696504125939477e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1520473382760421; + b = 0.8322715736994519e-1; + v = 0.1935787242745390e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1892986699745931; + b = 0.1165855667993712; + v = 0.2130614510521968e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2270194446777792; + b = 0.1513077167409504; + v = 0.2289381265931048e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2648908185093273; + b = 0.1868882025807859; + v = 0.2418630292816186e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3026389259574136; + b = 0.2229277629776224; + v = 0.2523400495631193e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3400220296151384; + b = 0.2590951840746235; + v = 0.2607623973449605e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3768217953335510; + b = 0.2951047291750847; + v = 0.2674441032689209e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4128372900921884; + b = 0.3307019714169930; + v = 0.2726432360343356e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4478807131815630; + b = 0.3656544101087634; + v = 0.2765787685924545e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4817742034089257; + b = 0.3997448951939695; + v = 0.2794428690642224e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5143472814653344; + b = 0.4327667110812024; + v = 0.2814099002062895e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5454346213905650; + b = 0.4645196123532293; + v = 0.2826429531578994e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5748739313170252; + b = 0.4948063555703345; + v = 0.2832983542550884e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1599598738286342; + b = 0.2792357590048985e-1; + v = 0.1886695565284976e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1998097412500951; + b = 0.5877141038139065e-1; + v = 0.2081867882748234e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2396228952566202; + b = 0.9164573914691377e-1; + v = 0.2245148680600796e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2792228341097746; + b = 0.1259049641962687; + v = 0.2380370491511872e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3184251107546741; + b = 0.1610594823400863; + v = 0.2491398041852455e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3570481164426244; + b = 0.1967151653460898; + v = 0.2581632405881230e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3949164710492144; + b = 0.2325404606175168; + v = 0.2653965506227417e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4318617293970503; + b = 0.2682461141151439; + v = 0.2710857216747087e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4677221009931678; + b = 0.3035720116011973; + v = 0.2754434093903659e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5023417939270955; + b = 0.3382781859197439; + v = 0.2786579932519380e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5355701836636128; + b = 0.3721383065625942; + v = 0.2809011080679474e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5672608451328771; + b = 0.4049346360466055; + v = 0.2823336184560987e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5972704202540162; + b = 0.4364538098633802; + v = 0.2831101175806309e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2461687022333596; + b = 0.3070423166833368e-1; + v = 0.2221679970354546e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2881774566286831; + b = 0.6338034669281885e-1; + v = 0.2356185734270703e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3293963604116978; + b = 0.9742862487067941e-1; + v = 0.2469228344805590e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3697303822241377; + b = 0.1323799532282290; + v = 0.2562726348642046e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4090663023135127; + b = 0.1678497018129336; + v = 0.2638756726753028e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4472819355411712; + b = 0.2035095105326114; + v = 0.2699311157390862e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4842513377231437; + b = 0.2390692566672091; + v = 0.2746233268403837e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5198477629962928; + b = 0.2742649818076149; + v = 0.2781225674454771e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5539453011883145; + b = 0.3088503806580094; + v = 0.2805881254045684e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5864196762401251; + b = 0.3425904245906614; + v = 0.2821719877004913e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6171484466668390; + b = 0.3752562294789468; + v = 0.2830222502333124e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3350337830565727; + b = 0.3261589934634747e-1; + v = 0.2457995956744870e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3775773224758284; + b = 0.6658438928081572e-1; + v = 0.2551474407503706e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4188155229848973; + b = 0.1014565797157954; + v = 0.2629065335195311e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4586805892009344; + b = 0.1368573320843822; + v = 0.2691900449925075e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4970895714224235; + b = 0.1724614851951608; + v = 0.2741275485754276e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5339505133960747; + b = 0.2079779381416412; + v = 0.2778530970122595e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5691665792531440; + b = 0.2431385788322288; + v = 0.2805010567646741e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6026387682680377; + b = 0.2776901883049853; + v = 0.2822055834031040e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6342676150163307; + b = 0.3113881356386632; + v = 0.2831016901243473e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4237951119537067; + b = 0.3394877848664351e-1; + v = 0.2624474901131803e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4656918683234929; + b = 0.6880219556291447e-1; + v = 0.2688034163039377e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5058857069185980; + b = 0.1041946859721635; + v = 0.2738932751287636e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5443204666713996; + b = 0.1398039738736393; + v = 0.2777944791242523e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5809298813759742; + b = 0.1753373381196155; + v = 0.2806011661660987e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6156416039447128; + b = 0.2105215793514010; + v = 0.2824181456597460e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6483801351066604; + b = 0.2450953312157051; + v = 0.2833585216577828e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5103616577251688; + b = 0.3485560643800719e-1; + v = 0.2738165236962878e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5506738792580681; + b = 0.7026308631512033e-1; + v = 0.2778365208203180e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5889573040995292; + b = 0.1059035061296403; + v = 0.2807852940418966e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6251641589516930; + b = 0.1414823925236026; + v = 0.2827245949674705e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6592414921570178; + b = 0.1767207908214530; + v = 0.2837342344829828e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5930314017533384; + b = 0.3542189339561672e-1; + v = 0.2809233907610981e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6309812253390175; + b = 0.7109574040369549e-1; + v = 0.2829930809742694e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6666296011353230; + b = 0.1067259792282730; + v = 0.2841097874111479e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6703715271049922; + b = 0.3569455268820809e-1; + v = 0.2843455206008783e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld4334(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = 0.1449063022537883e-4; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.2546377329828424e-3; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.1462896151831013e-1; + v = 0.6018432961087496e-4; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3769840812493139e-1; + v = 0.1002286583263673e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6524701904096891e-1; + v = 0.1315222931028093e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.9560543416134648e-1; + v = 0.1564213746876724e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1278335898929198; + v = 0.1765118841507736e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1613096104466031; + v = 0.1928737099311080e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1955806225745371; + v = 0.2062658534263270e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2302935218498028; + v = 0.2172395445953787e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2651584344113027; + v = 0.2262076188876047e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2999276825183209; + v = 0.2334885699462397e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3343828669718798; + v = 0.2393355273179203e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3683265013750518; + v = 0.2439559200468863e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4015763206518108; + v = 0.2475251866060002e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4339612026399770; + v = 0.2501965558158773e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4653180651114582; + v = 0.2521081407925925e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4954893331080803; + v = 0.2533881002388081e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5243207068924930; + v = 0.2541582900848261e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5516590479041704; + v = 0.2545365737525860e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6012371927804176; + v = 0.2545726993066799e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6231574466449819; + v = 0.2544456197465555e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6429416514181271; + v = 0.2543481596881064e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6604124272943595; + v = 0.2543506451429194e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6753851470408250; + v = 0.2544905675493763e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6876717970626160; + v = 0.2547611407344429e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6970895061319234; + v = 0.2551060375448869e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7034746912553310; + v = 0.2554291933816039e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7067017217542295; + v = 0.2556255710686343e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4382223501131123e-1; + v = 0.9041339695118195e-4; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.1117474077400006; + v = 0.1438426330079022e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.1897153252911440; + v = 0.1802523089820518e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.2724023009910331; + v = 0.2060052290565496e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.3567163308709902; + v = 0.2245002248967466e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.4404784483028087; + v = 0.2377059847731150e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.5219833154161411; + v = 0.2468118955882525e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.5998179868977553; + v = 0.2525410872966528e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.6727803154548222; + v = 0.2553101409933397e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.7476563943166086e-1; + b = 0.2193168509461185e-1; + v = 0.1212879733668632e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1075341482001416; + b = 0.4826419281533887e-1; + v = 0.1472872881270931e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1416344885203259; + b = 0.7751191883575742e-1; + v = 0.1686846601010828e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1766325315388586; + b = 0.1087558139247680; + v = 0.1862698414660208e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2121744174481514; + b = 0.1413661374253096; + v = 0.2007430956991861e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2479669443408145; + b = 0.1748768214258880; + v = 0.2126568125394796e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2837600452294113; + b = 0.2089216406612073; + v = 0.2224394603372113e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3193344933193984; + b = 0.2431987685545972; + v = 0.2304264522673135e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3544935442438745; + b = 0.2774497054377770; + v = 0.2368854288424087e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3890571932288154; + b = 0.3114460356156915; + v = 0.2420352089461772e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4228581214259090; + b = 0.3449806851913012; + v = 0.2460597113081295e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4557387211304052; + b = 0.3778618641248256; + v = 0.2491181912257687e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4875487950541643; + b = 0.4099086391698978; + v = 0.2513528194205857e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5181436529962997; + b = 0.4409474925853973; + v = 0.2528943096693220e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5473824095600661; + b = 0.4708094517711291; + v = 0.2538660368488136e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5751263398976174; + b = 0.4993275140354637; + v = 0.2543868648299022e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1489515746840028; + b = 0.2599381993267017e-1; + v = 0.1642595537825183e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1863656444351767; + b = 0.5479286532462190e-1; + v = 0.1818246659849308e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2238602880356348; + b = 0.8556763251425254e-1; + v = 0.1966565649492420e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2612723375728160; + b = 0.1177257802267011; + v = 0.2090677905657991e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2984332990206190; + b = 0.1508168456192700; + v = 0.2193820409510504e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3351786584663333; + b = 0.1844801892177727; + v = 0.2278870827661928e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3713505522209120; + b = 0.2184145236087598; + v = 0.2348283192282090e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4067981098954663; + b = 0.2523590641486229; + v = 0.2404139755581477e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4413769993687534; + b = 0.2860812976901373; + v = 0.2448227407760734e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4749487182516394; + b = 0.3193686757808996; + v = 0.2482110455592573e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5073798105075426; + b = 0.3520226949547602; + v = 0.2507192397774103e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5385410448878654; + b = 0.3838544395667890; + v = 0.2524765968534880e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5683065353670530; + b = 0.4146810037640963; + v = 0.2536052388539425e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5965527620663510; + b = 0.4443224094681121; + v = 0.2542230588033068e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2299227700856157; + b = 0.2865757664057584e-1; + v = 0.1944817013047896e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2695752998553267; + b = 0.5923421684485993e-1; + v = 0.2067862362746635e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3086178716611389; + b = 0.9117817776057715e-1; + v = 0.2172440734649114e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3469649871659077; + b = 0.1240593814082605; + v = 0.2260125991723423e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3845153566319655; + b = 0.1575272058259175; + v = 0.2332655008689523e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4211600033403215; + b = 0.1912845163525413; + v = 0.2391699681532458e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4567867834329882; + b = 0.2250710177858171; + v = 0.2438801528273928e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4912829319232061; + b = 0.2586521303440910; + v = 0.2475370504260665e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5245364793303812; + b = 0.2918112242865407; + v = 0.2502707235640574e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5564369788915756; + b = 0.3243439239067890; + v = 0.2522031701054241e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5868757697775287; + b = 0.3560536787835351; + v = 0.2534511269978784e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6157458853519617; + b = 0.3867480821242581; + v = 0.2541284914955151e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3138461110672113; + b = 0.3051374637507278e-1; + v = 0.2161509250688394e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3542495872050569; + b = 0.6237111233730755e-1; + v = 0.2248778513437852e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3935751553120181; + b = 0.9516223952401907e-1; + v = 0.2322388803404617e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4317634668111147; + b = 0.1285467341508517; + v = 0.2383265471001355e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4687413842250821; + b = 0.1622318931656033; + v = 0.2432476675019525e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5044274237060283; + b = 0.1959581153836453; + v = 0.2471122223750674e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5387354077925727; + b = 0.2294888081183837; + v = 0.2500291752486870e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5715768898356105; + b = 0.2626031152713945; + v = 0.2521055942764682e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6028627200136111; + b = 0.2950904075286713; + v = 0.2534472785575503e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6325039812653463; + b = 0.3267458451113286; + v = 0.2541599713080121e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3981986708423407; + b = 0.3183291458749821e-1; + v = 0.2317380975862936e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4382791182133300; + b = 0.6459548193880908e-1; + v = 0.2378550733719775e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4769233057218166; + b = 0.9795757037087952e-1; + v = 0.2428884456739118e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5140823911194238; + b = 0.1316307235126655; + v = 0.2469002655757292e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5496977833862983; + b = 0.1653556486358704; + v = 0.2499657574265851e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5837047306512727; + b = 0.1988931724126510; + v = 0.2521676168486082e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6160349566926879; + b = 0.2320174581438950; + v = 0.2535935662645334e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6466185353209440; + b = 0.2645106562168662; + v = 0.2543356743363214e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4810835158795404; + b = 0.3275917807743992e-1; + v = 0.2427353285201535e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5199925041324341; + b = 0.6612546183967181e-1; + v = 0.2468258039744386e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5571717692207494; + b = 0.9981498331474143e-1; + v = 0.2500060956440310e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5925789250836378; + b = 0.1335687001410374; + v = 0.2523238365420979e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6261658523859670; + b = 0.1671444402896463; + v = 0.2538399260252846e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6578811126669331; + b = 0.2003106382156076; + v = 0.2546255927268069e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5609624612998100; + b = 0.3337500940231335e-1; + v = 0.2500583360048449e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5979959659984670; + b = 0.6708750335901803e-1; + v = 0.2524777638260203e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6330523711054002; + b = 0.1008792126424850; + v = 0.2540951193860656e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6660960998103972; + b = 0.1345050343171794; + v = 0.2549524085027472e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6365384364585819; + b = 0.3372799460737052e-1; + v = 0.2542569507009158e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6710994302899275; + b = 0.6755249309678028e-1; + v = 0.2552114127580376e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld4802(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = 0.9687521879420705e-4; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.2307897895367918e-3; + n += genOh(2, a, b, v, x, y, z, w, n); + v = 0.2297310852498558e-3; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.2335728608887064e-1; + v = 0.7386265944001919e-4; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4352987836550653e-1; + v = 0.8257977698542210e-4; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6439200521088801e-1; + v = 0.9706044762057630e-4; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.9003943631993181e-1; + v = 0.1302393847117003e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1196706615548473; + v = 0.1541957004600968e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1511715412838134; + v = 0.1704459770092199e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1835982828503801; + v = 0.1827374890942906e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2165081259155405; + v = 0.1926360817436107e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2496208720417563; + v = 0.2008010239494833e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2827200673567900; + v = 0.2075635983209175e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3156190823994346; + v = 0.2131306638690909e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3481476793749115; + v = 0.2176562329937335e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3801466086947226; + v = 0.2212682262991018e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4114652119634011; + v = 0.2240799515668565e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4419598786519751; + v = 0.2261959816187525e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4714925949329543; + v = 0.2277156368808855e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4999293972879466; + v = 0.2287351772128336e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5271387221431248; + v = 0.2293490814084085e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5529896780837761; + v = 0.2296505312376273e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6000856099481712; + v = 0.2296793832318756e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6210562192785175; + v = 0.2295785443842974e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6401165879934240; + v = 0.2295017931529102e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6571144029244334; + v = 0.2295059638184868e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6718910821718863; + v = 0.2296232343237362e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6842845591099010; + v = 0.2298530178740771e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6941353476269816; + v = 0.2301579790280501e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7012965242212991; + v = 0.2304690404996513e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7056471428242644; + v = 0.2307027995907102e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4595557643585895e-1; + v = 0.9312274696671092e-4; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.1049316742435023; + v = 0.1199919385876926e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.1773548879549274; + v = 0.1598039138877690e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.2559071411236127; + v = 0.1822253763574900e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.3358156837985898; + v = 0.1988579593655040e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.4155835743763893; + v = 0.2112620102533307e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.4937894296167472; + v = 0.2201594887699007e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.5691569694793316; + v = 0.2261622590895036e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.6405840854894251; + v = 0.2296458453435705e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.7345133894143348e-1; + b = 0.2177844081486067e-1; + v = 0.1006006990267000e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1009859834044931; + b = 0.4590362185775188e-1; + v = 0.1227676689635876e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1324289619748758; + b = 0.7255063095690877e-1; + v = 0.1467864280270117e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1654272109607127; + b = 0.1017825451960684; + v = 0.1644178912101232e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1990767186776461; + b = 0.1325652320980364; + v = 0.1777664890718961e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2330125945523278; + b = 0.1642765374496765; + v = 0.1884825664516690e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2670080611108287; + b = 0.1965360374337889; + v = 0.1973269246453848e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3008753376294316; + b = 0.2290726770542238; + v = 0.2046767775855328e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3344475596167860; + b = 0.2616645495370823; + v = 0.2107600125918040e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3675709724070786; + b = 0.2941150728843141; + v = 0.2157416362266829e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4001000887587812; + b = 0.3262440400919066; + v = 0.2197557816920721e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4318956350436028; + b = 0.3578835350611916; + v = 0.2229192611835437e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4628239056795531; + b = 0.3888751854043678; + v = 0.2253385110212775e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4927563229773636; + b = 0.4190678003222840; + v = 0.2271137107548774e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5215687136707969; + b = 0.4483151836883852; + v = 0.2283414092917525e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5491402346984905; + b = 0.4764740676087880; + v = 0.2291161673130077e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5753520160126075; + b = 0.5034021310998277; + v = 0.2295313908576598e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1388326356417754; + b = 0.2435436510372806e-1; + v = 0.1438204721359031e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1743686900537244; + b = 0.5118897057342652e-1; + v = 0.1607738025495257e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2099737037950268; + b = 0.8014695048539634e-1; + v = 0.1741483853528379e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2454492590908548; + b = 0.1105117874155699; + v = 0.1851918467519151e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2807219257864278; + b = 0.1417950531570966; + v = 0.1944628638070613e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3156842271975842; + b = 0.1736604945719597; + v = 0.2022495446275152e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3502090945177752; + b = 0.2058466324693981; + v = 0.2087462382438514e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3841684849519686; + b = 0.2381284261195919; + v = 0.2141074754818308e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4174372367906016; + b = 0.2703031270422569; + v = 0.2184640913748162e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4498926465011892; + b = 0.3021845683091309; + v = 0.2219309165220329e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4814146229807701; + b = 0.3335993355165720; + v = 0.2246123118340624e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5118863625734701; + b = 0.3643833735518232; + v = 0.2266062766915125e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5411947455119144; + b = 0.3943789541958179; + v = 0.2280072952230796e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5692301500357246; + b = 0.4234320144403542; + v = 0.2289082025202583e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5958857204139576; + b = 0.4513897947419260; + v = 0.2294012695120025e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2156270284785766; + b = 0.2681225755444491e-1; + v = 0.1722434488736947e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2532385054909710; + b = 0.5557495747805614e-1; + v = 0.1830237421455091e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2902564617771537; + b = 0.8569368062950249e-1; + v = 0.1923855349997633e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3266979823143256; + b = 0.1167367450324135; + v = 0.2004067861936271e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3625039627493614; + b = 0.1483861994003304; + v = 0.2071817297354263e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3975838937548699; + b = 0.1803821503011405; + v = 0.2128250834102103e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4318396099009774; + b = 0.2124962965666424; + v = 0.2174513719440102e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4651706555732742; + b = 0.2445221837805913; + v = 0.2211661839150214e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4974752649620969; + b = 0.2762701224322987; + v = 0.2240665257813102e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5286517579627517; + b = 0.3075627775211328; + v = 0.2262439516632620e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5586001195731895; + b = 0.3382311089826877; + v = 0.2277874557231869e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5872229902021319; + b = 0.3681108834741399; + v = 0.2287854314454994e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6144258616235123; + b = 0.3970397446872839; + v = 0.2293268499615575e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2951676508064861; + b = 0.2867499538750441e-1; + v = 0.1912628201529828e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3335085485472725; + b = 0.5867879341903510e-1; + v = 0.1992499672238701e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3709561760636381; + b = 0.8961099205022284e-1; + v = 0.2061275533454027e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4074722861667498; + b = 0.1211627927626297; + v = 0.2119318215968572e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4429923648839117; + b = 0.1530748903554898; + v = 0.2167416581882652e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4774428052721736; + b = 0.1851176436721877; + v = 0.2206430730516600e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5107446539535904; + b = 0.2170829107658179; + v = 0.2237186938699523e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5428151370542935; + b = 0.2487786689026271; + v = 0.2260480075032884e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5735699292556964; + b = 0.2800239952795016; + v = 0.2277098884558542e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6029253794562866; + b = 0.3106445702878119; + v = 0.2287845715109671e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6307998987073145; + b = 0.3404689500841194; + v = 0.2293547268236294e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3752652273692719; + b = 0.2997145098184479e-1; + v = 0.2056073839852528e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4135383879344028; + b = 0.6086725898678011e-1; + v = 0.2114235865831876e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4506113885153907; + b = 0.9238849548435643e-1; + v = 0.2163175629770551e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4864401554606072; + b = 0.1242786603851851; + v = 0.2203392158111650e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5209708076611709; + b = 0.1563086731483386; + v = 0.2235473176847839e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5541422135830122; + b = 0.1882696509388506; + v = 0.2260024141501235e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5858880915113817; + b = 0.2199672979126059; + v = 0.2277675929329182e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6161399390603444; + b = 0.2512165482924867; + v = 0.2289102112284834e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6448296482255090; + b = 0.2818368701871888; + v = 0.2295027954625118e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4544796274917948; + b = 0.3088970405060312e-1; + v = 0.2161281589879992e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4919389072146628; + b = 0.6240947677636835e-1; + v = 0.2201980477395102e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5279313026985183; + b = 0.9430706144280313e-1; + v = 0.2234952066593166e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5624169925571135; + b = 0.1263547818770374; + v = 0.2260540098520838e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5953484627093287; + b = 0.1583430788822594; + v = 0.2279157981899988e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6266730715339185; + b = 0.1900748462555988; + v = 0.2291296918565571e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6563363204278871; + b = 0.2213599519592567; + v = 0.2297533752536649e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5314574716585696; + b = 0.3152508811515374e-1; + v = 0.2234927356465995e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5674614932298185; + b = 0.6343865291465561e-1; + v = 0.2261288012985219e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6017706004970264; + b = 0.9551503504223951e-1; + v = 0.2280818160923688e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6343471270264178; + b = 0.1275440099801196; + v = 0.2293773295180159e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6651494599127802; + b = 0.1593252037671960; + v = 0.2300528767338634e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6050184986005704; + b = 0.3192538338496105e-1; + v = 0.2281893855065666e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6390163550880400; + b = 0.6402824353962306e-1; + v = 0.2295720444840727e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6711199107088448; + b = 0.9609805077002909e-1; + v = 0.2303227649026753e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6741354429572275; + b = 0.3211853196273233e-1; + v = 0.2304831913227114e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld5294(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = 0.9080510764308163e-4; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.2084824361987793e-3; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.2303261686261450e-1; + v = 0.5011105657239616e-4; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3757208620162394e-1; + v = 0.5942520409683854e-4; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5821912033821852e-1; + v = 0.9564394826109721e-4; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.8403127529194872e-1; + v = 0.1185530657126338e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1122927798060578; + v = 0.1364510114230331e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1420125319192987; + v = 0.1505828825605415e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1726396437341978; + v = 0.1619298749867023e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2038170058115696; + v = 0.1712450504267789e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2352849892876508; + v = 0.1789891098164999e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2668363354312461; + v = 0.1854474955629795e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2982941279900452; + v = 0.1908148636673661e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3295002922087076; + v = 0.1952377405281833e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3603094918363593; + v = 0.1988349254282232e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3905857895173920; + v = 0.2017079807160050e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4202005758160837; + v = 0.2039473082709094e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4490310061597227; + v = 0.2056360279288953e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4769586160311491; + v = 0.2068525823066865e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5038679887049750; + v = 0.2076724877534488e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5296454286519961; + v = 0.2081694278237885e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5541776207164850; + v = 0.2084157631219326e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5990467321921213; + v = 0.2084381531128593e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6191467096294587; + v = 0.2083476277129307e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6375251212901849; + v = 0.2082686194459732e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6540514381131168; + v = 0.2082475686112415e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6685899064391510; + v = 0.2083139860289915e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6810013009681648; + v = 0.2084745561831237e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6911469578730340; + v = 0.2087091313375890e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6988956915141736; + v = 0.2089718413297697e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7041335794868720; + v = 0.2092003303479793e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7067754398018567; + v = 0.2093336148263241e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3840368707853623e-1; + v = 0.7591708117365267e-4; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.9835485954117399e-1; + v = 0.1083383968169186e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.1665774947612998; + v = 0.1403019395292510e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.2405702335362910; + v = 0.1615970179286436e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.3165270770189046; + v = 0.1771144187504911e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.3927386145645443; + v = 0.1887760022988168e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.4678825918374656; + v = 0.1973474670768214e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.5408022024266935; + v = 0.2033787661234659e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.6104967445752438; + v = 0.2072343626517331e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.6760910702685738; + v = 0.2091177834226918e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.6655644120217392e-1; + b = 0.1936508874588424e-1; + v = 0.9316684484675566e-4; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.9446246161270182e-1; + b = 0.4252442002115869e-1; + v = 0.1116193688682976e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1242651925452509; + b = 0.6806529315354374e-1; + v = 0.1298623551559414e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1553438064846751; + b = 0.9560957491205369e-1; + v = 0.1450236832456426e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1871137110542670; + b = 0.1245931657452888; + v = 0.1572719958149914e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2192612628836257; + b = 0.1545385828778978; + v = 0.1673234785867195e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2515682807206955; + b = 0.1851004249723368; + v = 0.1756860118725188e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2838535866287290; + b = 0.2160182608272384; + v = 0.1826776290439367e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3159578817528521; + b = 0.2470799012277111; + v = 0.1885116347992865e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3477370882791392; + b = 0.2781014208986402; + v = 0.1933457860170574e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3790576960890540; + b = 0.3089172523515731; + v = 0.1973060671902064e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4097938317810200; + b = 0.3393750055472244; + v = 0.2004987099616311e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4398256572859637; + b = 0.3693322470987730; + v = 0.2030170909281499e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4690384114718480; + b = 0.3986541005609877; + v = 0.2049461460119080e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4973216048301053; + b = 0.4272112491408562; + v = 0.2063653565200186e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5245681526132446; + b = 0.4548781735309936; + v = 0.2073507927381027e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5506733911803888; + b = 0.4815315355023251; + v = 0.2079764593256122e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5755339829522475; + b = 0.5070486445801855; + v = 0.2083150534968778e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1305472386056362; + b = 0.2284970375722366e-1; + v = 0.1262715121590664e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1637327908216477; + b = 0.4812254338288384e-1; + v = 0.1414386128545972e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1972734634149637; + b = 0.7531734457511935e-1; + v = 0.1538740401313898e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2308694653110130; + b = 0.1039043639882017; + v = 0.1642434942331432e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2643899218338160; + b = 0.1334526587117626; + v = 0.1729790609237496e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2977171599622171; + b = 0.1636414868936382; + v = 0.1803505190260828e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3307293903032310; + b = 0.1942195406166568; + v = 0.1865475350079657e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3633069198219073; + b = 0.2249752879943753; + v = 0.1917182669679069e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3953346955922727; + b = 0.2557218821820032; + v = 0.1959851709034382e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4267018394184914; + b = 0.2862897925213193; + v = 0.1994529548117882e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4573009622571704; + b = 0.3165224536636518; + v = 0.2022138911146548e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4870279559856109; + b = 0.3462730221636496; + v = 0.2043518024208592e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5157819581450322; + b = 0.3754016870282835; + v = 0.2059450313018110e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5434651666465393; + b = 0.4037733784993613; + v = 0.2070685715318472e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5699823887764627; + b = 0.4312557784139123; + v = 0.2077955310694373e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5952403350947741; + b = 0.4577175367122110; + v = 0.2081980387824712e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2025152599210369; + b = 0.2520253617719557e-1; + v = 0.1521318610377956e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2381066653274425; + b = 0.5223254506119000e-1; + v = 0.1622772720185755e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2732823383651612; + b = 0.8060669688588620e-1; + v = 0.1710498139420709e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3080137692611118; + b = 0.1099335754081255; + v = 0.1785911149448736e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3422405614587601; + b = 0.1399120955959857; + v = 0.1850125313687736e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3758808773890420; + b = 0.1702977801651705; + v = 0.1904229703933298e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4088458383438932; + b = 0.2008799256601680; + v = 0.1949259956121987e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4410450550841152; + b = 0.2314703052180836; + v = 0.1986161545363960e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4723879420561312; + b = 0.2618972111375892; + v = 0.2015790585641370e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5027843561874343; + b = 0.2920013195600270; + v = 0.2038934198707418e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5321453674452458; + b = 0.3216322555190551; + v = 0.2056334060538251e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5603839113834030; + b = 0.3506456615934198; + v = 0.2068705959462289e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5874150706875146; + b = 0.3789007181306267; + v = 0.2076753906106002e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6131559381660038; + b = 0.4062580170572782; + v = 0.2081179391734803e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2778497016394506; + b = 0.2696271276876226e-1; + v = 0.1700345216228943e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3143733562261912; + b = 0.5523469316960465e-1; + v = 0.1774906779990410e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3501485810261827; + b = 0.8445193201626464e-1; + v = 0.1839659377002642e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3851430322303653; + b = 0.1143263119336083; + v = 0.1894987462975169e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4193013979470415; + b = 0.1446177898344475; + v = 0.1941548809452595e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4525585960458567; + b = 0.1751165438438091; + v = 0.1980078427252384e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4848447779622947; + b = 0.2056338306745660; + v = 0.2011296284744488e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5160871208276894; + b = 0.2359965487229226; + v = 0.2035888456966776e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5462112185696926; + b = 0.2660430223139146; + v = 0.2054516325352142e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5751425068101757; + b = 0.2956193664498032; + v = 0.2067831033092635e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6028073872853596; + b = 0.3245763905312779; + v = 0.2076485320284876e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6291338275278409; + b = 0.3527670026206972; + v = 0.2081141439525255e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3541797528439391; + b = 0.2823853479435550e-1; + v = 0.1834383015469222e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3908234972074657; + b = 0.5741296374713106e-1; + v = 0.1889540591777677e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4264408450107590; + b = 0.8724646633650199e-1; + v = 0.1936677023597375e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4609949666553286; + b = 0.1175034422915616; + v = 0.1976176495066504e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4944389496536006; + b = 0.1479755652628428; + v = 0.2008536004560983e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5267194884346086; + b = 0.1784740659484352; + v = 0.2034280351712291e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5577787810220990; + b = 0.2088245700431244; + v = 0.2053944466027758e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5875563763536670; + b = 0.2388628136570763; + v = 0.2068077642882360e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6159910016391269; + b = 0.2684308928769185; + v = 0.2077250949661599e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6430219602956268; + b = 0.2973740761960252; + v = 0.2082062440705320e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4300647036213646; + b = 0.2916399920493977e-1; + v = 0.1934374486546626e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4661486308935531; + b = 0.5898803024755659e-1; + v = 0.1974107010484300e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5009658555287261; + b = 0.8924162698525409e-1; + v = 0.2007129290388658e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5344824270447704; + b = 0.1197185199637321; + v = 0.2033736947471293e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5666575997416371; + b = 0.1502300756161382; + v = 0.2054287125902493e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5974457471404752; + b = 0.1806004191913564; + v = 0.2069184936818894e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6267984444116886; + b = 0.2106621764786252; + v = 0.2078883689808782e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6546664713575417; + b = 0.2402526932671914; + v = 0.2083886366116359e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5042711004437253; + b = 0.2982529203607657e-1; + v = 0.2006593275470817e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5392127456774380; + b = 0.6008728062339922e-1; + v = 0.2033728426135397e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5726819437668618; + b = 0.9058227674571398e-1; + v = 0.2055008781377608e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6046469254207278; + b = 0.1211219235803400; + v = 0.2070651783518502e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6350716157434952; + b = 0.1515286404791580; + v = 0.2080953335094320e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6639177679185454; + b = 0.1816314681255552; + v = 0.2086284998988521e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5757276040972253; + b = 0.3026991752575440e-1; + v = 0.2055549387644668e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6090265823139755; + b = 0.6078402297870770e-1; + v = 0.2071871850267654e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6406735344387661; + b = 0.9135459984176636e-1; + v = 0.2082856600431965e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6706397927793709; + b = 0.1218024155966590; + v = 0.2088705858819358e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6435019674426665; + b = 0.3052608357660639e-1; + v = 0.2083995867536322e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6747218676375681; + b = 0.6112185773983089e-1; + v = 0.2090509712889637e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + } + + private static void ld5810(final double[] x, final double[] y, final double[] z, final double[] w) { + int n = 0; + double a = 0.0; + double b = 0.0; + double v; + v = 0.9735347946175486e-5; + n += genOh(1, a, b, v, x, y, z, w, n); + v = 0.1907581241803167e-3; + n += genOh(2, a, b, v, x, y, z, w, n); + v = 0.1901059546737578e-3; + n += genOh(3, a, b, v, x, y, z, w, n); + a = 0.1182361662400277e-1; + v = 0.3926424538919212e-4; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3062145009138958e-1; + v = 0.6667905467294382e-4; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5329794036834243e-1; + v = 0.8868891315019135e-4; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7848165532862220e-1; + v = 0.1066306000958872e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1054038157636201; + v = 0.1214506743336128e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1335577797766211; + v = 0.1338054681640871e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1625769955502252; + v = 0.1441677023628504e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.1921787193412792; + v = 0.1528880200826557e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2221340534690548; + v = 0.1602330623773609e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2522504912791132; + v = 0.1664102653445244e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.2823610860679697; + v = 0.1715845854011323e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3123173966267560; + v = 0.1758901000133069e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3419847036953789; + v = 0.1794382485256736e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3712386456999758; + v = 0.1823238106757407e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3999627649876828; + v = 0.1846293252959976e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4280466458648093; + v = 0.1864284079323098e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4553844360185711; + v = 0.1877882694626914e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.4818736094437834; + v = 0.1887716321852025e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5074138709260629; + v = 0.1894381638175673e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5319061304570707; + v = 0.1898454899533629e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5552514978677286; + v = 0.1900497929577815e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.5981009025246183; + v = 0.1900671501924092e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6173990192228116; + v = 0.1899837555533510e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6351365239411131; + v = 0.1899014113156229e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6512010228227200; + v = 0.1898581257705106e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6654758363948120; + v = 0.1898804756095753e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6778410414853370; + v = 0.1899793610426402e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6881760887484110; + v = 0.1901464554844117e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.6963645267094598; + v = 0.1903533246259542e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7023010617153579; + v = 0.1905556158463228e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.7059004636628753; + v = 0.1907037155663528e-3; + n += genOh(4, a, b, v, x, y, z, w, n); + a = 0.3552470312472575e-1; + v = 0.5992997844249967e-4; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.9151176620841283e-1; + v = 0.9749059382456978e-4; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.1566197930068980; + v = 0.1241680804599158e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.2265467599271907; + v = 0.1437626154299360e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.2988242318581361; + v = 0.1584200054793902e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.3717482419703886; + v = 0.1694436550982744e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.4440094491758889; + v = 0.1776617014018108e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.5145337096756642; + v = 0.1836132434440077e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.5824053672860230; + v = 0.1876494727075983e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.6468283961043370; + v = 0.1899906535336482e-3; + n += genOh(5, a, b, v, x, y, z, w, n); + a = 0.6095964259104373e-1; + b = 0.1787828275342931e-1; + v = 0.8143252820767350e-4; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.8811962270959388e-1; + b = 0.3953888740792096e-1; + v = 0.9998859890887728e-4; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1165936722428831; + b = 0.6378121797722990e-1; + v = 0.1156199403068359e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1460232857031785; + b = 0.8985890813745037e-1; + v = 0.1287632092635513e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1761197110181755; + b = 0.1172606510576162; + v = 0.1398378643365139e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2066471190463718; + b = 0.1456102876970995; + v = 0.1491876468417391e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2374076026328152; + b = 0.1746153823011775; + v = 0.1570855679175456e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2682305474337051; + b = 0.2040383070295584; + v = 0.1637483948103775e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2989653312142369; + b = 0.2336788634003698; + v = 0.1693500566632843e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3294762752772209; + b = 0.2633632752654219; + v = 0.1740322769393633e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3596390887276086; + b = 0.2929369098051601; + v = 0.1779126637278296e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3893383046398812; + b = 0.3222592785275512; + v = 0.1810908108835412e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4184653789358347; + b = 0.3512004791195743; + v = 0.1836529132600190e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4469172319076166; + b = 0.3796385677684537; + v = 0.1856752841777379e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4745950813276976; + b = 0.4074575378263879; + v = 0.1872270566606832e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5014034601410262; + b = 0.4345456906027828; + v = 0.1883722645591307e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5272493404551239; + b = 0.4607942515205134; + v = 0.1891714324525297e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5520413051846366; + b = 0.4860961284181720; + v = 0.1896827480450146e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5756887237503077; + b = 0.5103447395342790; + v = 0.1899628417059528e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1225039430588352; + b = 0.2136455922655793e-1; + v = 0.1123301829001669e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1539113217321372; + b = 0.4520926166137188e-1; + v = 0.1253698826711277e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1856213098637712; + b = 0.7086468177864818e-1; + v = 0.1366266117678531e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2174998728035131; + b = 0.9785239488772918e-1; + v = 0.1462736856106918e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2494128336938330; + b = 0.1258106396267210; + v = 0.1545076466685412e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2812321562143480; + b = 0.1544529125047001; + v = 0.1615096280814007e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3128372276456111; + b = 0.1835433512202753; + v = 0.1674366639741759e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3441145160177973; + b = 0.2128813258619585; + v = 0.1724225002437900e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3749567714853510; + b = 0.2422913734880829; + v = 0.1765810822987288e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4052621732015610; + b = 0.2716163748391453; + v = 0.1800104126010751e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4349335453522385; + b = 0.3007127671240280; + v = 0.1827960437331284e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4638776641524965; + b = 0.3294470677216479; + v = 0.1850140300716308e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4920046410462687; + b = 0.3576932543699155; + v = 0.1867333507394938e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5192273554861704; + b = 0.3853307059757764; + v = 0.1880178688638289e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5454609081136522; + b = 0.4122425044452694; + v = 0.1889278925654758e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5706220661424140; + b = 0.4383139587781027; + v = 0.1895213832507346e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5946286755181518; + b = 0.4634312536300553; + v = 0.1898548277397420e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.1905370790924295; + b = 0.2371311537781979e-1; + v = 0.1349105935937341e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2242518717748009; + b = 0.4917878059254806e-1; + v = 0.1444060068369326e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2577190808025936; + b = 0.7595498960495142e-1; + v = 0.1526797390930008e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2908724534927187; + b = 0.1036991083191100; + v = 0.1598208771406474e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3236354020056219; + b = 0.1321348584450234; + v = 0.1659354368615331e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3559267359304543; + b = 0.1610316571314789; + v = 0.1711279910946440e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3876637123676956; + b = 0.1901912080395707; + v = 0.1754952725601440e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4187636705218842; + b = 0.2194384950137950; + v = 0.1791247850802529e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4491449019883107; + b = 0.2486155334763858; + v = 0.1820954300877716e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4787270932425445; + b = 0.2775768931812335; + v = 0.1844788524548449e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5074315153055574; + b = 0.3061863786591120; + v = 0.1863409481706220e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5351810507738336; + b = 0.3343144718152556; + v = 0.1877433008795068e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5619001025975381; + b = 0.3618362729028427; + v = 0.1887444543705232e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5875144035268046; + b = 0.3886297583620408; + v = 0.1894009829375006e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6119507308734495; + b = 0.4145742277792031; + v = 0.1897683345035198e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2619733870119463; + b = 0.2540047186389353e-1; + v = 0.1517327037467653e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.2968149743237949; + b = 0.5208107018543989e-1; + v = 0.1587740557483543e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3310451504860488; + b = 0.7971828470885599e-1; + v = 0.1649093382274097e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3646215567376676; + b = 0.1080465999177927; + v = 0.1701915216193265e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3974916785279360; + b = 0.1368413849366629; + v = 0.1746847753144065e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4295967403772029; + b = 0.1659073184763559; + v = 0.1784555512007570e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4608742854473447; + b = 0.1950703730454614; + v = 0.1815687562112174e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4912598858949903; + b = 0.2241721144376724; + v = 0.1840864370663302e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5206882758945558; + b = 0.2530655255406489; + v = 0.1860676785390006e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5490940914019819; + b = 0.2816118409731066; + v = 0.1875690583743703e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5764123302025542; + b = 0.3096780504593238; + v = 0.1886453236347225e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6025786004213506; + b = 0.3371348366394987; + v = 0.1893501123329645e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6275291964794956; + b = 0.3638547827694396; + v = 0.1897366184519868e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3348189479861771; + b = 0.2664841935537443e-1; + v = 0.1643908815152736e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.3699515545855295; + b = 0.5424000066843495e-1; + v = 0.1696300350907768e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4042003071474669; + b = 0.8251992715430854e-1; + v = 0.1741553103844483e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4375320100182624; + b = 0.1112695182483710; + v = 0.1780015282386092e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4699054490335947; + b = 0.1402964116467816; + v = 0.1812116787077125e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5012739879431952; + b = 0.1694275117584291; + v = 0.1838323158085421e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5315874883754966; + b = 0.1985038235312689; + v = 0.1859113119837737e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5607937109622117; + b = 0.2273765660020893; + v = 0.1874969220221698e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5888393223495521; + b = 0.2559041492849764; + v = 0.1886375612681076e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6156705979160163; + b = 0.2839497251976899; + v = 0.1893819575809276e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6412338809078123; + b = 0.3113791060500690; + v = 0.1897794748256767e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4076051259257167; + b = 0.2757792290858463e-1; + v = 0.1738963926584846e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4423788125791520; + b = 0.5584136834984293e-1; + v = 0.1777442359873466e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4760480917328258; + b = 0.8457772087727143e-1; + v = 0.1810010815068719e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5085838725946297; + b = 0.1135975846359248; + v = 0.1836920318248129e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5399513637391218; + b = 0.1427286904765053; + v = 0.1858489473214328e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5701118433636380; + b = 0.1718112740057635; + v = 0.1875079342496592e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5990240530606021; + b = 0.2006944855985351; + v = 0.1887080239102310e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6266452685139695; + b = 0.2292335090598907; + v = 0.1894905752176822e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6529320971415942; + b = 0.2572871512353714; + v = 0.1898991061200695e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.4791583834610126; + b = 0.2826094197735932e-1; + v = 0.1809065016458791e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5130373952796940; + b = 0.5699871359683649e-1; + v = 0.1836297121596799e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5456252429628476; + b = 0.8602712528554394e-1; + v = 0.1858426916241869e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5768956329682385; + b = 0.1151748137221281; + v = 0.1875654101134641e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6068186944699046; + b = 0.1442811654136362; + v = 0.1888240751833503e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6353622248024907; + b = 0.1731930321657680; + v = 0.1896497383866979e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6624927035731797; + b = 0.2017619958756061; + v = 0.1900775530219121e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5484933508028488; + b = 0.2874219755907391e-1; + v = 0.1858525041478814e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.5810207682142106; + b = 0.5778312123713695e-1; + v = 0.1876248690077947e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6120955197181352; + b = 0.8695262371439526e-1; + v = 0.1889404439064607e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6416944284294319; + b = 0.1160893767057166; + v = 0.1898168539265290e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6697926391731260; + b = 0.1450378826743251; + v = 0.1902779940661772e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6147594390585488; + b = 0.2904957622341456e-1; + v = 0.1890125641731815e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6455390026356783; + b = 0.5823809152617197e-1; + v = 0.1899434637795751e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6747258588365477; + b = 0.8740384899884715e-1; + v = 0.1904520856831751e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + a = 0.6772135750395347; + b = 0.2919946135808105e-1; + v = 0.1905534498734563e-3; + n += genOh(6, a, b, v, x, y, z, w, n); + } +} diff --git a/hipparchus-core/src/test/java/org/hipparchus/analysis/integration/LebedevQuadratureTest.java b/hipparchus-core/src/test/java/org/hipparchus/analysis/integration/LebedevQuadratureTest.java new file mode 100644 index 000000000..1005632ff --- /dev/null +++ b/hipparchus-core/src/test/java/org/hipparchus/analysis/integration/LebedevQuadratureTest.java @@ -0,0 +1,50 @@ +/* + * Licensed to the Apache Software Foundation (ASF) under one or more + * contributor license agreements. See the NOTICE file distributed with + * this work for additional information regarding copyright ownership. + * The ASF licenses this file to You under the Apache License, Version 2.0 + * (the "License"); you may not use this file except in compliance with + * the License. You may obtain a copy of the License at + * + * https://www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an "AS IS" BASIS, + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +/* + * This is not the original file distributed by the Apache Software Foundation + * It has been modified by the Hipparchus project + */ +package org.hipparchus.analysis.integration; + +import org.junit.jupiter.api.Test; +import static org.junit.jupiter.api.Assertions.assertEquals; +import static org.junit.jupiter.api.Assertions.assertTrue; + +public class LebedevQuadratureTest { + + @Test + void verifyAllOrders() { + for (int order : LebedevQuadrature.AVAILABLE_ORDERS) { + LebedevQuadrature.Rule rule = LebedevQuadrature.getRule(order); + assertEquals(order, rule.getOrder(), "order mismatch for " + order); + double wsum = 0; + double maxNormErr = 0; + for (int i = 0; i < order; i++) { + double x = rule.getX()[i]; + double y = rule.getY()[i]; + double z = rule.getZ()[i]; + double norm = Math.sqrt(x * x + y * y + z * z); + maxNormErr = Math.max(maxNormErr, Math.abs(norm - 1.0)); + wsum += rule.getW()[i]; + } + System.out.println("order=" + order + " weightSum=" + wsum + " maxNormErr=" + maxNormErr); + assertEquals(1.0, wsum, 1e-9, "weight sum mismatch for order " + order); + assertTrue(maxNormErr < 1e-9, "points not on unit sphere for order " + order); + } + } +}