Package org.apache.commons.math3.geometry.spherical.oned

Examples of org.apache.commons.math3.geometry.spherical.oned.ArcsSet

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        return new Arc(alpha - halfPi, alpha + halfPi, tolerance);
    }

    /** {@inheritDoc} */
    public SubCircle wholeHyperplane() {
        return new SubCircle(this, new ArcsSet(tolerance));
    }
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            return new SplitSubHyperplane<Sphere2D>(this, null);
        } else {
            // the two circles intersect each other
            final Arc    arc          = thisCircle.getInsideArc(otherCircle);
            final ArcsSet.Split split = ((ArcsSet) getRemainingRegion()).split(arc);
            final ArcsSet plus        = split.getPlus();
            final ArcsSet minus       = split.getMinus();
            return new SplitSubHyperplane<Sphere2D>(plus  == null ? null : new SubCircle(thisCircle.copySelf(), plus),
                                                    minus == null ? null : new SubCircle(thisCircle.copySelf(), minus));
        }

    }
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        Circle xzPlane = new Circle(Vector3D.PLUS_J, 1.0e-10);

        SubCircle sc1 = create(Vector3D.PLUS_K, Vector3D.PLUS_I, Vector3D.PLUS_J, 1.0e-10, 1.0, 3.0, 5.0, 6.0);
        SplitSubHyperplane<Sphere2D> split1 = sc1.split(xzPlane);
        ArcsSet plus1  = (ArcsSet) ((SubCircle) split1.getPlus()).getRemainingRegion();
        ArcsSet minus1 = (ArcsSet) ((SubCircle) split1.getMinus()).getRemainingRegion();
        Assert.assertEquals(1, plus1.asList().size());
        Assert.assertEquals(5.0, plus1.asList().get(0).getInf(), 1.0e-10);
        Assert.assertEquals(6.0, plus1.asList().get(0).getSup(), 1.0e-10);
        Assert.assertEquals(1, minus1.asList().size());
        Assert.assertEquals(1.0, minus1.asList().get(0).getInf(), 1.0e-10);
        Assert.assertEquals(3.0, minus1.asList().get(0).getSup(), 1.0e-10);

        SubCircle sc2 = create(Vector3D.PLUS_K, Vector3D.PLUS_I, Vector3D.PLUS_J, 1.0e-10, 1.0, 3.0);
        SplitSubHyperplane<Sphere2D> split2 = sc2.split(xzPlane);
        Assert.assertNull(split2.getPlus());
        ArcsSet minus2 = (ArcsSet) ((SubCircle) split2.getMinus()).getRemainingRegion();
        Assert.assertEquals(1, minus2.asList().size());
        Assert.assertEquals(1.0, minus2.asList().get(0).getInf(), 1.0e-10);
        Assert.assertEquals(3.0, minus2.asList().get(0).getSup(), 1.0e-10);

        SubCircle sc3 = create(Vector3D.PLUS_K, Vector3D.PLUS_I, Vector3D.PLUS_J, 1.0e-10, 5.0, 6.0);
        SplitSubHyperplane<Sphere2D> split3 = sc3.split(xzPlane);
        ArcsSet plus3  = (ArcsSet) ((SubCircle) split3.getPlus()).getRemainingRegion();
        Assert.assertEquals(1, plus3.asList().size());
        Assert.assertEquals(5.0, plus3.asList().get(0).getInf(), 1.0e-10);
        Assert.assertEquals(6.0, plus3.asList().get(0).getSup(), 1.0e-10);
        Assert.assertNull(split3.getMinus());

        SubCircle sc4 = create(Vector3D.PLUS_J, Vector3D.PLUS_K, Vector3D.PLUS_I, 1.0e-10, 5.0, 6.0);
        SplitSubHyperplane<Sphere2D> split4 = sc4.split(xzPlane);
        Assert.assertEquals(Side.HYPER, sc4.side(xzPlane));
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                             double tolerance, double ... limits) {
        RegionFactory<Sphere1D> factory = new RegionFactory<Sphere1D>();
        Circle circle = new Circle(pole, tolerance);
        Circle phased =
                (Circle) Circle.getTransform(new Rotation(circle.getXAxis(), circle.getYAxis(), x, y)).apply(circle);
        ArcsSet set = (ArcsSet) factory.getComplement(new ArcsSet(tolerance));
        for (int i = 0; i < limits.length; i += 2) {
            set = (ArcsSet) factory.union(set, new ArcsSet(limits[i], limits[i + 1], tolerance));
        }
        return new SubCircle(phased, set);
    }
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                             double tolerance, double ... limits) {
        RegionFactory<Sphere1D> factory = new RegionFactory<Sphere1D>();
        Circle circle = new Circle(pole, tolerance);
        Circle phased =
                (Circle) Circle.getTransform(new Rotation(circle.getXAxis(), circle.getYAxis(), x, y)).apply(circle);
        ArcsSet set = (ArcsSet) factory.getComplement(new ArcsSet(tolerance));
        for (int i = 0; i < limits.length; i += 2) {
            set = (ArcsSet) factory.union(set, new ArcsSet(limits[i], limits[i + 1], tolerance));
        }
        return new SubCircle(phased, set);
    }
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      List<SiteWithPolynomial> nearestSites =
          nearestSiteMap.get(site);
     
      RealVector vector = new ArrayRealVector(SITES_FOR_APPROX);
      RealMatrix matrix = new Array2DRowRealMatrix(
          SITES_FOR_APPROX, DefaultPolynomial.NUM_COEFFS);
     
      for (int row = 0; row < SITES_FOR_APPROX; row++) {
        SiteWithPolynomial nearSite = nearestSites.get(row);
        DefaultPolynomial.populateMatrix(matrix, row, nearSite.pos.x, nearSite.pos.z);
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        }

        // solve the rectangular system in the least square sense
        // to get the best estimate of the Nordsieck vector [s2 ... sk]
        QRDecomposition decomposition;
        decomposition = new QRDecomposition(new Array2DRowRealMatrix(a, false));
        RealMatrix x = decomposition.getSolver().solve(new Array2DRowRealMatrix(b, false));
        return new Array2DRowRealMatrix(x.getData(), false);
    }
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            // update Nordsieck vector
            final double[] predictedScaled = new double[y0.length];
            for (int j = 0; j < y0.length; ++j) {
                predictedScaled[j] = stepSize * yDot[j];
            }
            final Array2DRowRealMatrix nordsieckTmp = updateHighOrderDerivativesPhase1(nordsieck);
            updateHighOrderDerivativesPhase2(scaled, predictedScaled, nordsieckTmp);
            interpolator.reinitialize(stepEnd, stepSize, predictedScaled, nordsieckTmp);

            // discrete events handling
            interpolator.storeTime(stepEnd);
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     * @param residuals Residuals.
     * @return the cost.
     * @see #computeResiduals(double[])
     */
    protected double computeCost(double[] residuals) {
        final ArrayRealVector r = new ArrayRealVector(residuals);
        return FastMath.sqrt(r.dotProduct(getWeight().operate(r)));
    }
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    for (SiteWithPolynomial site : sites) {
     
      List<SiteWithPolynomial> nearestSites =
          nearestSiteMap.get(site);
     
      RealVector vector = new ArrayRealVector(SITES_FOR_APPROX);
      RealMatrix matrix = new Array2DRowRealMatrix(
          SITES_FOR_APPROX, DefaultPolynomial.NUM_COEFFS);
     
      for (int row = 0; row < SITES_FOR_APPROX; row++) {
        SiteWithPolynomial nearSite = nearestSites.get(row);
        DefaultPolynomial.populateMatrix(matrix, row, nearSite.pos.x, nearSite.pos.z);
        vector.setEntry(row, nearSite.pos.y);
      }
     
      QRDecomposition qr = new QRDecomposition(matrix);
      RealVector solution = qr.getSolver().solve(vector);
       
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Related Classes of org.apache.commons.math3.geometry.spherical.oned.ArcsSet

  • org.apache.commons.math3.analysis.differentiation.DerivativeStructure
  • org.apache.commons.math3.analysis.differentiation.MultivariateDifferentiableVectorFunction
  • org.apache.commons.math3.analysis.function.HarmonicOscillator
  • org.apache.commons.math3.analysis.function.Sin
  • org.apache.commons.math3.analysis.function.Sinc
  • org.apache.commons.math3.analysis.MultivariateFunction
  • org.apache.commons.math3.analysis.QuinticFunction
  • org.apache.commons.math3.analysis.solvers.BrentSolver
  • org.apache.commons.math3.analysis.UnivariateFunction
  • org.apache.commons.math3.complex.Complex
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