Package org.apache.commons.math3.analysis.differentiation

Examples of org.apache.commons.math3.analysis.differentiation.DerivativeStructure.multiply()

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        DerivativeStructure x1 = variables[0];
        DerivativeStructure x2 = variables[1];
        DerivativeStructure[] f = new DerivativeStructure[m];
        for (int i = 0; i < m; ++i) {
            double temp = i + 1;
            f[i] = x1.multiply(temp).exp().add(x2.multiply(temp).exp()).subtract(2 + 2 * temp).negate();
        }
        return f;
    }

  }
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        DerivativeStructure[] f = new DerivativeStructure[m];
        for (int i = 0; i < m; ++i) {
            double temp = (i + 1) / 5.0;
            DerivativeStructure tmp1 = x1.add(x2.multiply(temp)).subtract(FastMath.exp(temp));
            DerivativeStructure tmp2 = x3.add(x4.multiply(FastMath.sin(temp))).subtract(FastMath.cos(temp));
            f[i] = tmp1.multiply(tmp1).add(tmp2.multiply(tmp2));
        }
        return f;
    }

  }
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        DerivativeStructure[] f = new DerivativeStructure[m];
        DerivativeStructure sum  = variables[0].getField().getZero().subtract(n + 1);
        DerivativeStructure prod = variables[0].getField().getOne();
      for (int j = 0; j < n; ++j) {
        sum  = sum.add(variables[j]);
        prod = prod.multiply(variables[j]);
      }
      for (int i = 0; i < n; ++i) {
        f[i] = variables[i].add(sum);
      }
      f[n - 1] = prod.subtract(1);
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            // (observed points are points add through the addPoint method above)
            final DerivativeStructure dX = cx.subtract(p.getX());
            final DerivativeStructure dY = cy.subtract(p.getY());
            final DerivativeStructure scaling = r.divide(dX.multiply(dX).add(dY.multiply(dY)).sqrt());
            final int index  = i * 2;
            model[index]     = cx.subtract(scaling.multiply(dX));
            model[index + 1] = cy.subtract(scaling.multiply(dY));

        }

        return model;
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            final DerivativeStructure dX = cx.subtract(p.getX());
            final DerivativeStructure dY = cy.subtract(p.getY());
            final DerivativeStructure scaling = r.divide(dX.multiply(dX).add(dY.multiply(dY)).sqrt());
            final int index  = i * 2;
            model[index]     = cx.subtract(scaling.multiply(dX));
            model[index + 1] = cy.subtract(scaling.multiply(dY));

        }

        return model;

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    private DerivativeStructure distance(Vector2D point,
                                         DerivativeStructure cx, DerivativeStructure cy) {
        DerivativeStructure dx = cx.subtract(point.getX());
        DerivativeStructure dy = cy.subtract(point.getY());
        return dx.multiply(dx).add(dy.multiply(dy)).sqrt();
    }

    public DerivativeStructure getRadius(DerivativeStructure cx, DerivativeStructure cy) {
        DerivativeStructure r = cx.getField().getZero();
        for (Vector2D point : points) {
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        DerivativeStructure radius = getRadius(variables[0], variables[1]);

        DerivativeStructure sum = variables[0].getField().getZero();
        for (Vector2D point : points) {
            DerivativeStructure di = distance(point, variables[0], variables[1]).subtract(radius);
            sum = sum.add(di.multiply(di));
        }

        return sum;
    }
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            }

            DerivativeStructure sum = variables[0].getField().getZero();
            for (int i = 0; i < y.length; ++i) {
                DerivativeStructure ri = y[i].subtract(target[i]);
                sum = sum.add(ri.multiply(ri));
            }
            return sum;
        }

    }
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    private DerivativeStructure distance(Vector2D point,
                                         DerivativeStructure cx, DerivativeStructure cy) {
        DerivativeStructure dx = cx.subtract(point.getX());
        DerivativeStructure dy = cy.subtract(point.getY());
        return dx.multiply(dx).add(dy.multiply(dy)).sqrt();
    }

    public DerivativeStructure getRadius(DerivativeStructure cx, DerivativeStructure cy) {
        DerivativeStructure r = cx.getField().getZero();
        for (Vector2D point : points) {
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            /** {@inheritDoc} */
            public DerivativeStructure value(final DerivativeStructure t) {
                DerivativeStructure r = f[0].value(t);
                for (int i = 1; i < f.length; i++) {
                    r = r.multiply(f[i].value(t));
                }
                return r;
            }

        };
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