/*
* 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.math.linear;
import java.io.Serializable;
import java.util.Arrays;
import java.util.Iterator;
import org.apache.commons.math.MathRuntimeException;
import org.apache.commons.math.exception.util.LocalizedFormats;
import org.apache.commons.math.util.MathUtils;
import org.apache.commons.math.util.FastMath;
/**
* This class implements the {@link RealVector} interface with a double array.
* @version $Revision: 1003993 $ $Date: 2010-10-03 18:39:16 +0200 (dim. 03 oct. 2010) $
* @since 2.0
*/
public class ArrayRealVector extends AbstractRealVector 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. */
protected double data[];
/**
* Build a 0-length vector.
* <p>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</code> method ({@link #append(double)}, {@link
* #append(double[])}, {@link #append(ArrayRealVector)}) to gather data
* into this vector.</p>
*/
public ArrayRealVector() {
data = new double[0];
}
/**
* Construct a (size)-length vector of zeros.
* @param size size of the vector
*/
public ArrayRealVector(int size) {
data = new double[size];
}
/**
* Construct an (size)-length vector with preset values.
* @param size size of the vector
* @param preset fill the vector with this scalar 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 of doubles.
*/
public ArrayRealVector(double[] d) {
data = d.clone();
}
/**
* Create a new ArrayRealVector using the input array as the underlying
* data array.
* <p>If an array is built specially in order to be embedded in a
* ArrayRealVector and not used directly, the <code>copyArray</code> may be
* set to <code>false</code. This will prevent the copying and improve
* performance as no new array will be built and no data will be copied.</p>
* @param d data for new vector
* @param copyArray if true, the input array will be copied, otherwise
* it will be referenced
* @see #ArrayRealVector(double[])
*/
public ArrayRealVector(double[] d, boolean copyArray) {
data = copyArray ? d.clone() : d;
}
/**
* Construct a vector from part of a array.
* @param d array of doubles.
* @param pos position of first entry
* @param size number of entries to copy
*/
public ArrayRealVector(double[] d, int pos, int size) {
if (d.length < pos + size) {
throw MathRuntimeException.createIllegalArgumentException(
LocalizedFormats.POSITION_SIZE_MISMATCH_INPUT_ARRAY, pos, size, d.length);
}
data = new double[size];
System.arraycopy(d, pos, data, 0, size);
}
/**
* Construct a vector from an array.
* @param d array of Doubles.
*/
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 a Double array
* @param d array of Doubles.
* @param pos position of first entry
* @param size number of entries to copy
*/
public ArrayRealVector(Double[] d, int pos, int size) {
if (d.length < pos + size) {
throw MathRuntimeException.createIllegalArgumentException(
LocalizedFormats.POSITION_SIZE_MISMATCH_INPUT_ARRAY, pos, size, d.length);
}
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
*/
public ArrayRealVector(RealVector v) {
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
*/
public ArrayRealVector(ArrayRealVector v) {
this(v, true);
}
/**
* Construct a vector from another vector.
* @param v vector to copy
* @param deep if 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 AbstractRealVector copy() {
return new ArrayRealVector(this, true);
}
/** {@inheritDoc} */
@Override
public RealVector add(RealVector v)
throws IllegalArgumentException {
if (v instanceof ArrayRealVector) {
return add((ArrayRealVector) v);
} else {
checkVectorDimensions(v);
double[] out = data.clone();
Iterator<Entry> it = v.sparseIterator();
Entry e;
while (it.hasNext() && (e = it.next()) != null) {
out[e.getIndex()] += e.getValue();
}
return new ArrayRealVector(out, false);
}
}
/** {@inheritDoc} */
@Override
public RealVector add(double[] v)
throws IllegalArgumentException {
checkVectorDimensions(v.length);
double[] out = data.clone();
for (int i = 0; i < data.length; i++) {
out[i] += v[i];
}
return new ArrayRealVector(out, false);
}
/**
* Compute the sum of this and v.
* @param v vector to be added
* @return this + v
* @throws IllegalArgumentException if v is not the same size as this
*/
public ArrayRealVector add(ArrayRealVector v)
throws IllegalArgumentException {
return (ArrayRealVector) add(v.data);
}
/** {@inheritDoc} */
@Override
public RealVector subtract(RealVector v)
throws IllegalArgumentException {
if (v instanceof ArrayRealVector) {
return subtract((ArrayRealVector) v);
} else {
checkVectorDimensions(v);
double[] out = data.clone();
Iterator<Entry> it = v.sparseIterator();
Entry e;
while(it.hasNext() && (e = it.next()) != null) {
out[e.getIndex()] -= e.getValue();
}
return new ArrayRealVector(out, false);
}
}
/** {@inheritDoc} */
@Override
public RealVector subtract(double[] v)
throws IllegalArgumentException {
checkVectorDimensions(v.length);
double[] out = data.clone();
for (int i = 0; i < data.length; i++) {
out[i] -= v[i];
}
return new ArrayRealVector(out, false);
}
/**
* Compute this minus v.
* @param v vector to be subtracted
* @return this + v
* @throws IllegalArgumentException if v is not the same size as this
*/
public ArrayRealVector subtract(ArrayRealVector v)
throws IllegalArgumentException {
return (ArrayRealVector) subtract(v.data);
}
/** {@inheritDoc} */
@Override
public RealVector mapAddToSelf(double d) {
for (int i = 0; i < data.length; i++) {
data[i] = data[i] + d;
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapSubtractToSelf(double d) {
for (int i = 0; i < data.length; i++) {
data[i] = data[i] - d;
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapMultiplyToSelf(double d) {
for (int i = 0; i < data.length; i++) {
data[i] = data[i] * d;
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapDivideToSelf(double d) {
for (int i = 0; i < data.length; i++) {
data[i] = data[i] / d;
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapPowToSelf(double d) {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.pow(data[i], d);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapExpToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.exp(data[i]);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapExpm1ToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.expm1(data[i]);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapLogToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.log(data[i]);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapLog10ToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.log10(data[i]);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapLog1pToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.log1p(data[i]);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapCoshToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.cosh(data[i]);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapSinhToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.sinh(data[i]);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapTanhToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.tanh(data[i]);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapCosToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.cos(data[i]);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapSinToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.sin(data[i]);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapTanToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.tan(data[i]);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapAcosToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.acos(data[i]);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapAsinToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.asin(data[i]);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapAtanToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.atan(data[i]);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapInvToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = 1.0 / data[i];
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapAbsToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.abs(data[i]);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapSqrtToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.sqrt(data[i]);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapCbrtToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.cbrt(data[i]);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapCeilToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.ceil(data[i]);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapFloorToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.floor(data[i]);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapRintToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.rint(data[i]);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapSignumToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.signum(data[i]);
}
return this;
}
/** {@inheritDoc} */
@Override
public RealVector mapUlpToSelf() {
for (int i = 0; i < data.length; i++) {
data[i] = FastMath.ulp(data[i]);
}
return this;
}
/** {@inheritDoc} */
public RealVector ebeMultiply(RealVector v)
throws IllegalArgumentException {
if (v instanceof ArrayRealVector) {
return ebeMultiply((ArrayRealVector) v);
} 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 RealVector ebeMultiply(double[] v)
throws IllegalArgumentException {
checkVectorDimensions(v.length);
double[] out = data.clone();
for (int i = 0; i < data.length; i++) {
out[i] *= v[i];
}
return new ArrayRealVector(out, false);
}
/**
* Element-by-element multiplication.
* @param v vector by which instance elements must be multiplied
* @return a vector containing this[i] * v[i] for all i
* @exception IllegalArgumentException if v is not the same size as this
*/
public ArrayRealVector ebeMultiply(ArrayRealVector v)
throws IllegalArgumentException {
return (ArrayRealVector) ebeMultiply(v.data);
}
/** {@inheritDoc} */
public RealVector ebeDivide(RealVector v)
throws IllegalArgumentException {
if (v instanceof ArrayRealVector) {
return ebeDivide((ArrayRealVector) v);
} 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 RealVector ebeDivide(double[] v)
throws IllegalArgumentException {
checkVectorDimensions(v.length);
double[] out = data.clone();
for (int i = 0; i < data.length; i++) {
out[i] /= v[i];
}
return new ArrayRealVector(out, false);
}
/**
* Element-by-element division.
* @param v vector by which instance elements must be divided
* @return a vector containing this[i] / v[i] for all i
* @throws IllegalArgumentException if v is not the same size as this
*/
public ArrayRealVector ebeDivide(ArrayRealVector v)
throws IllegalArgumentException {
return (ArrayRealVector) ebeDivide(v.data);
}
/** {@inheritDoc} */
@Override
public double[] getData() {
return data.clone();
}
/**
* Returns a reference to the underlying data array.
* <p>Does not make a fresh copy of the underlying data.</p>
* @return array of entries
*/
public double[] getDataRef() {
return data;
}
/** {@inheritDoc} */
@Override
public double dotProduct(RealVector v)
throws IllegalArgumentException {
if (v instanceof ArrayRealVector) {
return dotProduct((ArrayRealVector) v);
} else {
checkVectorDimensions(v);
double dot = 0;
Iterator<Entry> it = v.sparseIterator();
Entry e;
while(it.hasNext() && (e = it.next()) != null) {
dot += data[e.getIndex()] * e.getValue();
}
return dot;
}
}
/** {@inheritDoc} */
@Override
public double dotProduct(double[] v)
throws IllegalArgumentException {
checkVectorDimensions(v.length);
double dot = 0;
for (int i = 0; i < data.length; i++) {
dot += data[i] * v[i];
}
return dot;
}
/**
* Compute the dot product.
* @param v vector with which dot product should be computed
* @return the scalar dot product between instance and v
* @exception IllegalArgumentException if v is not the same size as this
*/
public double dotProduct(ArrayRealVector v)
throws IllegalArgumentException {
return dotProduct(v.data);
}
/** {@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 IllegalArgumentException {
if (v instanceof ArrayRealVector) {
return getDistance((ArrayRealVector) v);
} 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 getDistance(double[] v)
throws IllegalArgumentException {
checkVectorDimensions(v.length);
double sum = 0;
for (int i = 0; i < data.length; ++i) {
final double delta = data[i] - v[i];
sum += delta * delta;
}
return FastMath.sqrt(sum);
}
/**
* Distance between two vectors.
* <p>This method computes the distance consistent with the
* L<sub>2</sub> norm, i.e. the square root of the sum of
* elements differences, or euclidian distance.</p>
* @param v vector to which distance is requested
* @return distance between two vectors.
* @exception IllegalArgumentException if v is not the same size as this
* @see #getDistance(RealVector)
* @see #getL1Distance(ArrayRealVector)
* @see #getLInfDistance(ArrayRealVector)
* @see #getNorm()
*/
public double getDistance(ArrayRealVector v)
throws IllegalArgumentException {
return getDistance(v.data);
}
/** {@inheritDoc} */
@Override
public double getL1Distance(RealVector v)
throws IllegalArgumentException {
if (v instanceof ArrayRealVector) {
return getL1Distance((ArrayRealVector) v);
} 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 getL1Distance(double[] v)
throws IllegalArgumentException {
checkVectorDimensions(v.length);
double sum = 0;
for (int i = 0; i < data.length; ++i) {
final double delta = data[i] - v[i];
sum += FastMath.abs(delta);
}
return sum;
}
/**
* Distance between two vectors.
* <p>This method computes the distance consistent with
* L<sub>1</sub> norm, i.e. the sum of the absolute values of
* elements differences.</p>
* @param v vector to which distance is requested
* @return distance between two vectors.
* @exception IllegalArgumentException if v is not the same size as this
* @see #getDistance(RealVector)
* @see #getL1Distance(ArrayRealVector)
* @see #getLInfDistance(ArrayRealVector)
* @see #getNorm()
*/
public double getL1Distance(ArrayRealVector v)
throws IllegalArgumentException {
return getL1Distance(v.data);
}
/** {@inheritDoc} */
@Override
public double getLInfDistance(RealVector v)
throws IllegalArgumentException {
if (v instanceof ArrayRealVector) {
return getLInfDistance((ArrayRealVector) v);
} 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 double getLInfDistance(double[] v)
throws IllegalArgumentException {
checkVectorDimensions(v.length);
double max = 0;
for (int i = 0; i < data.length; ++i) {
final double delta = data[i] - v[i];
max = FastMath.max(max, FastMath.abs(delta));
}
return max;
}
/**
* Distance between two vectors.
* <p>This method computes the distance consistent with
* L<sub>∞</sub> norm, i.e. the max of the absolute values of
* elements differences.</p>
* @param v vector to which distance is requested
* @return distance between two vectors.
* @exception IllegalArgumentException if v is not the same size as this
* @see #getDistance(RealVector)
* @see #getL1Distance(ArrayRealVector)
* @see #getLInfDistance(ArrayRealVector)
* @see #getNorm()
*/
public double getLInfDistance(ArrayRealVector v)
throws IllegalArgumentException {
return getLInfDistance(v.data);
}
/** {@inheritDoc} */
@Override
public RealVector unitVector() throws ArithmeticException {
final double norm = getNorm();
if (norm == 0) {
throw MathRuntimeException.createArithmeticException(LocalizedFormats.ZERO_NORM);
}
return mapDivide(norm);
}
/** {@inheritDoc} */
@Override
public void unitize() throws ArithmeticException {
final double norm = getNorm();
if (norm == 0) {
throw MathRuntimeException.createArithmeticException(LocalizedFormats.CANNOT_NORMALIZE_A_ZERO_NORM_VECTOR);
}
mapDivideToSelf(norm);
}
/** {@inheritDoc} */
public RealVector projection(RealVector v) {
return v.mapMultiply(dotProduct(v) / v.dotProduct(v));
}
/** {@inheritDoc} */
@Override
public RealVector projection(double[] v) {
return projection(new ArrayRealVector(v, false));
}
/** Find the orthogonal projection of this vector onto another vector.
* @param v vector onto which instance must be projected
* @return projection of the instance onto v
* @throws IllegalArgumentException if v is not the same size as this
*/
public ArrayRealVector projection(ArrayRealVector v) {
return (ArrayRealVector) v.mapMultiply(dotProduct(v) / v.dotProduct(v));
}
/** {@inheritDoc} */
@Override
public RealMatrix outerProduct(RealVector v)
throws IllegalArgumentException {
if (v instanceof ArrayRealVector) {
return outerProduct((ArrayRealVector) v);
} else {
checkVectorDimensions(v);
final int m = data.length;
final RealMatrix out = MatrixUtils.createRealMatrix(m, m);
for (int i = 0; i < data.length; i++) {
for (int j = 0; j < data.length; j++) {
out.setEntry(i, j, data[i] * v.getEntry(j));
}
}
return out;
}
}
/**
* Compute the outer product.
* @param v vector with which outer product should be computed
* @return the square matrix outer product between instance and v
* @exception IllegalArgumentException if v is not the same size as this
*/
public RealMatrix outerProduct(ArrayRealVector v)
throws IllegalArgumentException {
return outerProduct(v.data);
}
/** {@inheritDoc} */
@Override
public RealMatrix outerProduct(double[] v)
throws IllegalArgumentException {
checkVectorDimensions(v.length);
final int m = data.length;
final RealMatrix out = MatrixUtils.createRealMatrix(m, m);
for (int i = 0; i < data.length; i++) {
for (int j = 0; j < data.length; j++) {
out.setEntry(i, j, data[i] * v[j]);
}
}
return out;
}
/** {@inheritDoc} */
public double getEntry(int index) throws MatrixIndexException {
return data[index];
}
/** {@inheritDoc} */
public int getDimension() {
return data.length;
}
/** {@inheritDoc} */
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} */
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} */
public RealVector append(double[] in) {
return new ArrayRealVector(this, in);
}
/** {@inheritDoc} */
public RealVector getSubVector(int index, int 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} */
public void setEntry(int index, double value) {
try {
data[index] = value;
} catch (IndexOutOfBoundsException e) {
checkIndex(index);
}
}
/** {@inheritDoc} */
@Override
public void setSubVector(int index, RealVector v) {
try {
try {
set(index, (ArrayRealVector) v);
} catch (ClassCastException cce) {
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);
}
}
/** {@inheritDoc} */
@Override
public void setSubVector(int index, double[] v) {
try {
System.arraycopy(v, 0, data, index, v.length);
} catch (IndexOutOfBoundsException e) {
checkIndex(index);
checkIndex(index + v.length - 1);
}
}
/**
* Set a set of consecutive elements.
*
* @param index index of first element to be set.
* @param v vector containing the values to set.
* @exception MatrixIndexException if the index is
* inconsistent with vector size
*/
public void set(int index, ArrayRealVector v)
throws MatrixIndexException {
setSubVector(index, v.data);
}
/** {@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
* @exception IllegalArgumentException if the vectors do not
* have the same dimension
*/
@Override
protected void checkVectorDimensions(RealVector v)
throws IllegalArgumentException {
checkVectorDimensions(v.getDimension());
}
/**
* Check if instance dimension is equal to some expected value.
*
* @param n expected dimension.
* @exception IllegalArgumentException if the dimension is
* inconsistent with vector size
*/
@Override
protected void checkVectorDimensions(int n)
throws IllegalArgumentException {
if (data.length != n) {
throw MathRuntimeException.createIllegalArgumentException(
LocalizedFormats.VECTOR_LENGTH_MISMATCH,
data.length, n);
}
}
/**
* Returns true if any coordinate of this vector is NaN; false otherwise
* @return true if any coordinate of this vector is NaN; false otherwise
*/
public boolean isNaN() {
for (double v : data) {
if (Double.isNaN(v)) {
return true;
}
}
return false;
}
/**
* Returns true if any coordinate of this vector is infinite and none are NaN;
* false otherwise
* @return true if any coordinate of this vector is infinite and none are NaN;
* false otherwise
*/
public boolean isInfinite() {
if (isNaN()) {
return false;
}
for (double v : data) {
if (Double.isInfinite(v)) {
return true;
}
}
return false;
}
/**
* Test for the equality of two real vectors.
* <p>
* If all coordinates of two real vectors are exactly the same, and none are
* <code>Double.NaN</code>, the two real vectors are considered to be equal.
* </p>
* <p>
* <code>NaN</code> coordinates are considered to affect globally the vector
* and be equals to each other - i.e, if either (or all) coordinates of the
* real vector are equal to <code>Double.NaN</code>, the real vector is equal to
* a vector with all <code>Double.NaN</code> coordinates.
* </p>
*
* @param other Object to test for equality to this
* @return true if two vector objects are equal, false if
* object is null, not an instance of RealVector, or
* not equal to this RealVector instance
*
*/
@Override
public boolean equals(Object other) {
if (this == other) {
return true;
}
if (other == null || !(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;
}
/**
* Get a hashCode for the real vector.
* <p>All NaN values have the same hash code.</p>
* @return a hash code value for this object
*/
@Override
public int hashCode() {
if (isNaN()) {
return 9;
}
return MathUtils.hash(data);
}
}