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The Apache Commons Math project is a library of lightweight, self-contained mathematics and statistics components addressing the most common practical problems not immediately available in the Java programming language or commons-lang.
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/*
* 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
*
* http://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.
*/
package org.apache.commons.math3.linear;
import java.io.Serializable;
import java.util.Arrays;
import java.util.Iterator;
import org.apache.commons.math3.analysis.UnivariateFunction;
import org.apache.commons.math3.exception.NotPositiveException;
import org.apache.commons.math3.exception.NullArgumentException;
import org.apache.commons.math3.exception.DimensionMismatchException;
import org.apache.commons.math3.exception.NumberIsTooLargeException;
import org.apache.commons.math3.exception.NumberIsTooSmallException;
import org.apache.commons.math3.exception.OutOfRangeException;
import org.apache.commons.math3.exception.util.LocalizedFormats;
import org.apache.commons.math3.util.MathUtils;
import org.apache.commons.math3.util.FastMath;
/**
* This class implements the {@link RealVector} interface with a double array.
* @since 2.0
*/
public class ArrayRealVector extends RealVector implements Serializable {
/** Serializable version identifier. */
private static final long serialVersionUID = -1097961340710804027L;
/** Default format. */
private static final RealVectorFormat DEFAULT_FORMAT = RealVectorFormat.getInstance();
/** Entries of the vector. */
private double data[];
/**
* Build a 0-length vector.
* Zero-length vectors may be used to initialized construction of vectors
* by data gathering. We start with zero-length and use either the {@link
* #ArrayRealVector(ArrayRealVector, ArrayRealVector)} constructor
* or one of the {@code append} method ({@link #append(double)},
* {@link #append(ArrayRealVector)}) to gather data into this vector.
*/
public ArrayRealVector() {
data = new double[0];
}
/**
* Construct a vector of zeroes.
*
* @param size Size of the vector.
*/
public ArrayRealVector(int size) {
data = new double[size];
}
/**
* Construct a vector with preset values.
*
* @param size Size of the vector
* @param preset All entries will be set with this value.
*/
public ArrayRealVector(int size, double preset) {
data = new double[size];
Arrays.fill(data, preset);
}
/**
* Construct a vector from an array, copying the input array.
*
* @param d Array.
*/
public ArrayRealVector(double[] d) {
data = d.clone();
}
/**
* Create a new ArrayRealVector using the input array as the underlying
* data array.
* If an array is built specially in order to be embedded in a
* ArrayRealVector and not used directly, the {@code copyArray} may be
* set to {@code false}. This will prevent the copying and improve
* performance as no new array will be built and no data will be copied.
*
* @param d Data for the new vector.
* @param copyArray if {@code true}, the input array will be copied,
* otherwise it will be referenced.
* @throws NullArgumentException if {@code d} is {@code null}.
* @see #ArrayRealVector(double[])
*/
public ArrayRealVector(double[] d, boolean copyArray)
throws NullArgumentException {
if (d == null) {
throw new NullArgumentException();
}
data = copyArray ? d.clone() : d;
}
/**
* Construct a vector from part of a array.
*
* @param d Array.
* @param pos Position of first entry.
* @param size Number of entries to copy.
* @throws NullArgumentException if {@code d} is {@code null}.
* @throws NumberIsTooLargeException if the size of {@code d} is less
* than {@code pos + size}.
*/
public ArrayRealVector(double[] d, int pos, int size)
throws NullArgumentException, NumberIsTooLargeException {
if (d == null) {
throw new NullArgumentException();
}
if (d.length < pos + size) {
throw new NumberIsTooLargeException(pos + size, d.length, true);
}
data = new double[size];
System.arraycopy(d, pos, data, 0, size);
}
/**
* Construct a vector from an array.
*
* @param d Array of {@code Double}s.
*/
public ArrayRealVector(Double[] d) {
data = new double[d.length];
for (int i = 0; i < d.length; i++) {
data[i] = d[i].doubleValue();
}
}
/**
* Construct a vector from part of an array.
*
* @param d Array.
* @param pos Position of first entry.
* @param size Number of entries to copy.
* @throws NullArgumentException if {@code d} is {@code null}.
* @throws NumberIsTooLargeException if the size of {@code d} is less
* than {@code pos + size}.
*/
public ArrayRealVector(Double[] d, int pos, int size)
throws NullArgumentException, NumberIsTooLargeException {
if (d == null) {
throw new NullArgumentException();
}
if (d.length < pos + size) {
throw new NumberIsTooLargeException(pos + size, d.length, true);
}
data = new double[size];
for (int i = pos; i < pos + size; i++) {
data[i - pos] = d[i].doubleValue();
}
}
/**
* Construct a vector from another vector, using a deep copy.
*
* @param v vector to copy.
* @throws NullArgumentException if {@code v} is {@code null}.
*/
public ArrayRealVector(RealVector v) throws NullArgumentException {
if (v == null) {
throw new NullArgumentException();
}
data = new double[v.getDimension()];
for (int i = 0; i < data.length; ++i) {
data[i] = v.getEntry(i);
}
}
/**
* Construct a vector from another vector, using a deep copy.
*
* @param v Vector to copy.
* @throws NullArgumentException if {@code v} is {@code null}.
*/
public ArrayRealVector(ArrayRealVector v) throws NullArgumentException {
this(v, true);
}
/**
* Construct a vector from another vector.
*
* @param v Vector to copy.
* @param deep If {@code true} perform a deep copy, otherwise perform a
* shallow copy.
*/
public ArrayRealVector(ArrayRealVector v, boolean deep) {
data = deep ? v.data.clone() : v.data;
}
/**
* Construct a vector by appending one vector to another vector.
* @param v1 First vector (will be put in front of the new vector).
* @param v2 Second vector (will be put at back of the new vector).
*/
public ArrayRealVector(ArrayRealVector v1, ArrayRealVector v2) {
data = new double[v1.data.length + v2.data.length];
System.arraycopy(v1.data, 0, data, 0, v1.data.length);
System.arraycopy(v2.data, 0, data, v1.data.length, v2.data.length);
}
/**
* Construct a vector by appending one vector to another vector.
* @param v1 First vector (will be put in front of the new vector).
* @param v2 Second vector (will be put at back of the new vector).
*/
public ArrayRealVector(ArrayRealVector v1, RealVector v2) {
final int l1 = v1.data.length;
final int l2 = v2.getDimension();
data = new double[l1 + l2];
System.arraycopy(v1.data, 0, data, 0, l1);
for (int i = 0; i < l2; ++i) {
data[l1 + i] = v2.getEntry(i);
}
}
/**
* Construct a vector by appending one vector to another vector.
* @param v1 First vector (will be put in front of the new vector).
* @param v2 Second vector (will be put at back of the new vector).
*/
public ArrayRealVector(RealVector v1, ArrayRealVector v2) {
final int l1 = v1.getDimension();
final int l2 = v2.data.length;
data = new double[l1 + l2];
for (int i = 0; i < l1; ++i) {
data[i] = v1.getEntry(i);
}
System.arraycopy(v2.data, 0, data, l1, l2);
}
/**
* Construct a vector by appending one vector to another vector.
* @param v1 First vector (will be put in front of the new vector).
* @param v2 Second vector (will be put at back of the new vector).
*/
public ArrayRealVector(ArrayRealVector v1, double[] v2) {
final int l1 = v1.getDimension();
final int l2 = v2.length;
data = new double[l1 + l2];
System.arraycopy(v1.data, 0, data, 0, l1);
System.arraycopy(v2, 0, data, l1, l2);
}
/**
* Construct a vector by appending one vector to another vector.
* @param v1 First vector (will be put in front of the new vector).
* @param v2 Second vector (will be put at back of the new vector).
*/
public ArrayRealVector(double[] v1, ArrayRealVector v2) {
final int l1 = v1.length;
final int l2 = v2.getDimension();
data = new double[l1 + l2];
System.arraycopy(v1, 0, data, 0, l1);
System.arraycopy(v2.data, 0, data, l1, l2);
}
/**
* Construct a vector by appending one vector to another vector.
* @param v1 first vector (will be put in front of the new vector)
* @param v2 second vector (will be put at back of the new vector)
*/
public ArrayRealVector(double[] v1, double[] v2) {
final int l1 = v1.length;
final int l2 = v2.length;
data = new double[l1 + l2];
System.arraycopy(v1, 0, data, 0, l1);
System.arraycopy(v2, 0, data, l1, l2);
}
/** {@inheritDoc} */
@Override
public ArrayRealVector copy() {
return new ArrayRealVector(this, true);
}
/** {@inheritDoc} */
@Override
public ArrayRealVector add(RealVector v)
throws DimensionMismatchException {
if (v instanceof ArrayRealVector) {
final double[] vData = ((ArrayRealVector) v).data;
final int dim = vData.length;
checkVectorDimensions(dim);
ArrayRealVector result = new ArrayRealVector(dim);
double[] resultData = result.data;
for (int i = 0; i < dim; i++) {
resultData[i] = data[i] + vData[i];
}
return result;
} else {
checkVectorDimensions(v);
double[] out = data.clone();
Iterator it = v.iterator();
while (it.hasNext()) {
final Entry e = it.next();
out[e.getIndex()] += e.getValue();
}
return new ArrayRealVector(out, false);
}
}
/** {@inheritDoc} */
@Override
public ArrayRealVector subtract(RealVector v)
throws DimensionMismatchException {
if (v instanceof ArrayRealVector) {
final double[] vData = ((ArrayRealVector) v).data;
final int dim = vData.length;
checkVectorDimensions(dim);
ArrayRealVector result = new ArrayRealVector(dim);
double[] resultData = result.data;
for (int i = 0; i < dim; i++) {
resultData[i] = data[i] - vData[i];
}
return result;
} else {
checkVectorDimensions(v);
double[] out = data.clone();
Iterator it = v.iterator();
while (it.hasNext()) {
final Entry e = it.next();
out[e.getIndex()] -= e.getValue();
}
return new ArrayRealVector(out, false);
}
}
/** {@inheritDoc} */
@Override
public ArrayRealVector map(UnivariateFunction function) {
return copy().mapToSelf(function);
}
/** {@inheritDoc} */
@Override
public ArrayRealVector mapToSelf(UnivariateFunction function) {
for (int i = 0; i < data.length; i++) {
data[i] = function.value(data[i]);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapAddToSelf(double d) {
for (int i = 0; i < data.length; i++) {
data[i] += d;
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapSubtractToSelf(double d) {
for (int i = 0; i < data.length; i++) {
data[i] -= d;
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapMultiplyToSelf(double d) {
for (int i = 0; i < data.length; i++) {
data[i] *= d;
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapDivideToSelf(double d) {
for (int i = 0; i < data.length; i++) {
data[i] /= d;
}
return this;
}
/** {@inheritDoc} */
@Override
public ArrayRealVector ebeMultiply(RealVector v)
throws DimensionMismatchException {
if (v instanceof ArrayRealVector) {
final double[] vData = ((ArrayRealVector) v).data;
final int dim = vData.length;
checkVectorDimensions(dim);
ArrayRealVector result = new ArrayRealVector(dim);
double[] resultData = result.data;
for (int i = 0; i < dim; i++) {
resultData[i] = data[i] * vData[i];
}
return result;
} else {
checkVectorDimensions(v);
double[] out = data.clone();
for (int i = 0; i < data.length; i++) {
out[i] *= v.getEntry(i);
}
return new ArrayRealVector(out, false);
}
}
/** {@inheritDoc} */
@Override
public ArrayRealVector ebeDivide(RealVector v)
throws DimensionMismatchException {
if (v instanceof ArrayRealVector) {
final double[] vData = ((ArrayRealVector) v).data;
final int dim = vData.length;
checkVectorDimensions(dim);
ArrayRealVector result = new ArrayRealVector(dim);
double[] resultData = result.data;
for (int i = 0; i < dim; i++) {
resultData[i] = data[i] / vData[i];
}
return result;
} else {
checkVectorDimensions(v);
double[] out = data.clone();
for (int i = 0; i < data.length; i++) {
out[i] /= v.getEntry(i);
}
return new ArrayRealVector(out, false);
}
}
/**
* Get a reference to the underlying data array.
* This method does not make a fresh copy of the underlying data.
*
* @return the array of entries.
*/
public double[] getDataRef() {
return data;
}
/** {@inheritDoc} */
@Override
public double dotProduct(RealVector v) throws DimensionMismatchException {
if (v instanceof ArrayRealVector) {
final double[] vData = ((ArrayRealVector) v).data;
checkVectorDimensions(vData.length);
double dot = 0;
for (int i = 0; i < data.length; i++) {
dot += data[i] * vData[i];
}
return dot;
}
return super.dotProduct(v);
}
/** {@inheritDoc} */
@Override
public double getNorm() {
double sum = 0;
for (double a : data) {
sum += a * a;
}
return FastMath.sqrt(sum);
}
/** {@inheritDoc} */
@Override
public double getL1Norm() {
double sum = 0;
for (double a : data) {
sum += FastMath.abs(a);
}
return sum;
}
/** {@inheritDoc} */
@Override
public double getLInfNorm() {
double max = 0;
for (double a : data) {
max = FastMath.max(max, FastMath.abs(a));
}
return max;
}
/** {@inheritDoc} */
@Override
public double getDistance(RealVector v) throws DimensionMismatchException {
if (v instanceof ArrayRealVector) {
final double[] vData = ((ArrayRealVector) v).data;
checkVectorDimensions(vData.length);
double sum = 0;
for (int i = 0; i < data.length; ++i) {
final double delta = data[i] - vData[i];
sum += delta * delta;
}
return FastMath.sqrt(sum);
} else {
checkVectorDimensions(v);
double sum = 0;
for (int i = 0; i < data.length; ++i) {
final double delta = data[i] - v.getEntry(i);
sum += delta * delta;
}
return FastMath.sqrt(sum);
}
}
/** {@inheritDoc} */
@Override
public double getL1Distance(RealVector v)
throws DimensionMismatchException {
if (v instanceof ArrayRealVector) {
final double[] vData = ((ArrayRealVector) v).data;
checkVectorDimensions(vData.length);
double sum = 0;
for (int i = 0; i < data.length; ++i) {
final double delta = data[i] - vData[i];
sum += FastMath.abs(delta);
}
return sum;
} else {
checkVectorDimensions(v);
double sum = 0;
for (int i = 0; i < data.length; ++i) {
final double delta = data[i] - v.getEntry(i);
sum += FastMath.abs(delta);
}
return sum;
}
}
/** {@inheritDoc} */
@Override
public double getLInfDistance(RealVector v)
throws DimensionMismatchException {
if (v instanceof ArrayRealVector) {
final double[] vData = ((ArrayRealVector) v).data;
checkVectorDimensions(vData.length);
double max = 0;
for (int i = 0; i < data.length; ++i) {
final double delta = data[i] - vData[i];
max = FastMath.max(max, FastMath.abs(delta));
}
return max;
} else {
checkVectorDimensions(v);
double max = 0;
for (int i = 0; i < data.length; ++i) {
final double delta = data[i] - v.getEntry(i);
max = FastMath.max(max, FastMath.abs(delta));
}
return max;
}
}
/** {@inheritDoc} */
@Override
public RealMatrix outerProduct(RealVector v) {
if (v instanceof ArrayRealVector) {
final double[] vData = ((ArrayRealVector) v).data;
final int m = data.length;
final int n = vData.length;
final RealMatrix out = MatrixUtils.createRealMatrix(m, n);
for (int i = 0; i < m; i++) {
for (int j = 0; j < n; j++) {
out.setEntry(i, j, data[i] * vData[j]);
}
}
return out;
} else {
final int m = data.length;
final int n = v.getDimension();
final RealMatrix out = MatrixUtils.createRealMatrix(m, n);
for (int i = 0; i < m; i++) {
for (int j = 0; j < n; j++) {
out.setEntry(i, j, data[i] * v.getEntry(j));
}
}
return out;
}
}
/** {@inheritDoc} */
@Override
public double getEntry(int index) throws OutOfRangeException {
try {
return data[index];
} catch (IndexOutOfBoundsException e) {
throw new OutOfRangeException(LocalizedFormats.INDEX, index, 0,
getDimension() - 1);
}
}
/** {@inheritDoc} */
@Override
public int getDimension() {
return data.length;
}
/** {@inheritDoc} */
@Override
public RealVector append(RealVector v) {
try {
return new ArrayRealVector(this, (ArrayRealVector) v);
} catch (ClassCastException cce) {
return new ArrayRealVector(this, v);
}
}
/**
* Construct a vector by appending a vector to this vector.
*
* @param v Vector to append to this one.
* @return a new vector.
*/
public ArrayRealVector append(ArrayRealVector v) {
return new ArrayRealVector(this, v);
}
/** {@inheritDoc} */
@Override
public RealVector append(double in) {
final double[] out = new double[data.length + 1];
System.arraycopy(data, 0, out, 0, data.length);
out[data.length] = in;
return new ArrayRealVector(out, false);
}
/** {@inheritDoc} */
@Override
public RealVector getSubVector(int index, int n)
throws OutOfRangeException, NotPositiveException {
if (n < 0) {
throw new NotPositiveException(LocalizedFormats.NUMBER_OF_ELEMENTS_SHOULD_BE_POSITIVE, n);
}
ArrayRealVector out = new ArrayRealVector(n);
try {
System.arraycopy(data, index, out.data, 0, n);
} catch (IndexOutOfBoundsException e) {
checkIndex(index);
checkIndex(index + n - 1);
}
return out;
}
/** {@inheritDoc} */
@Override
public void setEntry(int index, double value) throws OutOfRangeException {
try {
data[index] = value;
} catch (IndexOutOfBoundsException e) {
checkIndex(index);
}
}
/** {@inheritDoc} */
@Override
public void addToEntry(int index, double increment)
throws OutOfRangeException {
try {
data[index] += increment;
} catch(IndexOutOfBoundsException e){
throw new OutOfRangeException(LocalizedFormats.INDEX,
index, 0, data.length - 1);
}
}
/** {@inheritDoc} */
@Override
public void setSubVector(int index, RealVector v)
throws OutOfRangeException {
if (v instanceof ArrayRealVector) {
setSubVector(index, ((ArrayRealVector) v).data);
} else {
try {
for (int i = index; i < index + v.getDimension(); ++i) {
data[i] = v.getEntry(i - index);
}
} catch (IndexOutOfBoundsException e) {
checkIndex(index);
checkIndex(index + v.getDimension() - 1);
}
}
}
/**
* Set a set of consecutive elements.
*
* @param index Index of first element to be set.
* @param v Vector containing the values to set.
* @throws OutOfRangeException if the index is inconsistent with the vector
* size.
*/
public void setSubVector(int index, double[] v)
throws OutOfRangeException {
try {
System.arraycopy(v, 0, data, index, v.length);
} catch (IndexOutOfBoundsException e) {
checkIndex(index);
checkIndex(index + v.length - 1);
}
}
/** {@inheritDoc} */
@Override
public void set(double value) {
Arrays.fill(data, value);
}
/** {@inheritDoc} */
@Override
public double[] toArray(){
return data.clone();
}
/** {@inheritDoc} */
@Override
public String toString(){
return DEFAULT_FORMAT.format(this);
}
/**
* Check if instance and specified vectors have the same dimension.
*
* @param v Vector to compare instance with.
* @throws DimensionMismatchException if the vectors do not
* have the same dimension.
*/
@Override
protected void checkVectorDimensions(RealVector v)
throws DimensionMismatchException {
checkVectorDimensions(v.getDimension());
}
/**
* Check if instance dimension is equal to some expected value.
*
* @param n Expected dimension.
* @throws DimensionMismatchException if the dimension is
* inconsistent with vector size.
*/
@Override
protected void checkVectorDimensions(int n)
throws DimensionMismatchException {
if (data.length != n) {
throw new DimensionMismatchException(data.length, n);
}
}
/**
* Check if any coordinate of this vector is {@code NaN}.
*
* @return {@code true} if any coordinate of this vector is {@code NaN},
* {@code false} otherwise.
*/
@Override
public boolean isNaN() {
for (double v : data) {
if (Double.isNaN(v)) {
return true;
}
}
return false;
}
/**
* Check whether any coordinate of this vector is infinite and none
* are {@code NaN}.
*
* @return {@code true} if any coordinate of this vector is infinite and
* none are {@code NaN}, {@code false} otherwise.
*/
@Override
public boolean isInfinite() {
if (isNaN()) {
return false;
}
for (double v : data) {
if (Double.isInfinite(v)) {
return true;
}
}
return false;
}
/** {@inheritDoc} */
@Override
public boolean equals(Object other) {
if (this == other) {
return true;
}
if (!(other instanceof RealVector)) {
return false;
}
RealVector rhs = (RealVector) other;
if (data.length != rhs.getDimension()) {
return false;
}
if (rhs.isNaN()) {
return this.isNaN();
}
for (int i = 0; i < data.length; ++i) {
if (data[i] != rhs.getEntry(i)) {
return false;
}
}
return true;
}
/**
* {@inheritDoc} All {@code NaN} values have the same hash code.
*/
@Override
public int hashCode() {
if (isNaN()) {
return 9;
}
return MathUtils.hash(data);
}
/** {@inheritDoc} */
@Override
public ArrayRealVector combine(double a, double b, RealVector y)
throws DimensionMismatchException {
return copy().combineToSelf(a, b, y);
}
/** {@inheritDoc} */
@Override
public ArrayRealVector combineToSelf(double a, double b, RealVector y)
throws DimensionMismatchException {
if (y instanceof ArrayRealVector) {
final double[] yData = ((ArrayRealVector) y).data;
checkVectorDimensions(yData.length);
for (int i = 0; i < this.data.length; i++) {
data[i] = a * data[i] + b * yData[i];
}
} else {
checkVectorDimensions(y);
for (int i = 0; i < this.data.length; i++) {
data[i] = a * data[i] + b * y.getEntry(i);
}
}
return this;
}
/** {@inheritDoc} */
@Override
public double walkInDefaultOrder(final RealVectorPreservingVisitor visitor) {
visitor.start(data.length, 0, data.length - 1);
for (int i = 0; i < data.length; i++) {
visitor.visit(i, data[i]);
}
return visitor.end();
}
/** {@inheritDoc} */
@Override
public double walkInDefaultOrder(final RealVectorPreservingVisitor visitor,
final int start, final int end) throws NumberIsTooSmallException,
OutOfRangeException {
checkIndices(start, end);
visitor.start(data.length, start, end);
for (int i = start; i <= end; i++) {
visitor.visit(i, data[i]);
}
return visitor.end();
}
/**
* {@inheritDoc}
*
* In this implementation, the optimized order is the default order.
*/
@Override
public double walkInOptimizedOrder(final RealVectorPreservingVisitor visitor) {
return walkInDefaultOrder(visitor);
}
/**
* {@inheritDoc}
*
* In this implementation, the optimized order is the default order.
*/
@Override
public double walkInOptimizedOrder(final RealVectorPreservingVisitor visitor,
final int start, final int end) throws NumberIsTooSmallException,
OutOfRangeException {
return walkInDefaultOrder(visitor, start, end);
}
/** {@inheritDoc} */
@Override
public double walkInDefaultOrder(final RealVectorChangingVisitor visitor) {
visitor.start(data.length, 0, data.length - 1);
for (int i = 0; i < data.length; i++) {
data[i] = visitor.visit(i, data[i]);
}
return visitor.end();
}
/** {@inheritDoc} */
@Override
public double walkInDefaultOrder(final RealVectorChangingVisitor visitor,
final int start, final int end) throws NumberIsTooSmallException,
OutOfRangeException {
checkIndices(start, end);
visitor.start(data.length, start, end);
for (int i = start; i <= end; i++) {
data[i] = visitor.visit(i, data[i]);
}
return visitor.end();
}
/**
* {@inheritDoc}
*
* In this implementation, the optimized order is the default order.
*/
@Override
public double walkInOptimizedOrder(final RealVectorChangingVisitor visitor) {
return walkInDefaultOrder(visitor);
}
/**
* {@inheritDoc}
*
* In this implementation, the optimized order is the default order.
*/
@Override
public double walkInOptimizedOrder(final RealVectorChangingVisitor visitor,
final int start, final int end) throws NumberIsTooSmallException,
OutOfRangeException {
return walkInDefaultOrder(visitor, start, end);
}
}