true iff the parameters designate a subarray of
* positive length</li>
* <li>throws MathIllegalArgumentException if the array is null or
* or the indices are invalid</li>
* <li>returns false if the array is non-null, but
* <code>length is 0.
* </ul>
*
* @param values the input array
* @param begin index of the first array element to include
* @param length the number of elements to include
* @return true if the parameters are valid and designate a subarray of positive length
* @throws MathIllegalArgumentException if the indices are invalid or the array is null
* @since 3.3
*/
public static boolean verifyValues(final double[] values, final int begin, final int length)
throws MathIllegalArgumentException {
return verifyValues(values, begin, length, false);
}
/**
* This method is used
* to verify that the input parameters designate a subarray of positive length.
* <p>
* <ul>
* <li>returns true iff the parameters designate a subarray of
* non-negative length</li>
* <li>throws IllegalArgumentException if the array is null or
* or the indices are invalid</li>
* <li>returns false if the array is non-null, but
* <code>length is 0 unless allowEmpty is true
* </ul>
*
* @param values the input array
* @param begin index of the first array element to include
* @param length the number of elements to include
* @param allowEmpty if <code>true then zero length arrays are allowed
* @return true if the parameters are valid
* @throws MathIllegalArgumentException if the indices are invalid or the array is null
* @since 3.3
*/
public static boolean verifyValues(final double[] values, final int begin,
final int length, final boolean allowEmpty) throws MathIllegalArgumentException {
if (values == null) {
throw new NullArgumentException(LocalizedFormats.INPUT_ARRAY);
}
if (begin < 0) {
throw new NotPositiveException(LocalizedFormats.START_POSITION, Integer.valueOf(begin));
}
if (length < 0) {
throw new NotPositiveException(LocalizedFormats.LENGTH, Integer.valueOf(length));
}
if (begin + length > values.length) {
throw new NumberIsTooLargeException(LocalizedFormats.SUBARRAY_ENDS_AFTER_ARRAY_END,
Integer.valueOf(begin + length), Integer.valueOf(values.length), true);
}
if (length == 0 && !allowEmpty) {
return false;
}
return true;
}
/**
* This method is used
* to verify that the begin and length parameters designate a subarray of positive length
* and the weights are all non-negative, non-NaN, finite, and not all zero.
* <p>
* <ul>
* <li>returns true iff the parameters designate a subarray of
* positive length and the weights array contains legitimate values.</li>
* <li>throws IllegalArgumentException if any of the following are true:
* <ul>false if the array is non-null, but
* <code>length is 0.
* </ul>
*
* @param values the input array
* @param weights the weights array
* @param begin index of the first array element to include
* @param length the number of elements to include
* @return true if the parameters are valid and designate a subarray of positive length
* @throws MathIllegalArgumentException if the indices are invalid or the array is null
* @since 3.3
*/
public static boolean verifyValues(
final double[] values,
final double[] weights,
final int begin,
final int length) throws MathIllegalArgumentException {
return verifyValues(values, weights, begin, length, false);
}
/**
* This method is used
* to verify that the begin and length parameters designate a subarray of positive length
* and the weights are all non-negative, non-NaN, finite, and not all zero.
* <p>
* <ul>
* <li>returns true iff the parameters designate a subarray of
* non-negative length and the weights array contains legitimate values.</li>
* <li>throws MathIllegalArgumentException if any of the following are true:
* <ul>false if the array is non-null, but
* <code>length is 0 unless allowEmpty is true.
* </ul>
*
* @param values the input array.
* @param weights the weights array.
* @param begin index of the first array element to include.
* @param length the number of elements to include.
* @param allowEmpty if {@code true} than allow zero length arrays to pass.
* @return {@code true} if the parameters are valid.
* @throws NullArgumentException if either of the arrays are null
* @throws MathIllegalArgumentException if the array indices are not valid,
* the weights array contains NaN, infinite or negative elements, or there
* are no positive weights.
* @since 3.3
*/
public static boolean verifyValues(final double[] values, final double[] weights,
final int begin, final int length, final boolean allowEmpty) throws MathIllegalArgumentException {
if (weights == null || values == null) {
throw new NullArgumentException(LocalizedFormats.INPUT_ARRAY);
}
checkEqualLength(weights, values);
boolean containsPositiveWeight = false;
for (int i = begin; i < begin + length; i++) {
final double weight = weights[i];
if (Double.isNaN(weight)) {
throw new MathIllegalArgumentException(LocalizedFormats.NAN_ELEMENT_AT_INDEX, Integer.valueOf(i));
}
if (Double.isInfinite(weight)) {
throw new MathIllegalArgumentException(LocalizedFormats.INFINITE_ARRAY_ELEMENT, Double.valueOf(weight), Integer.valueOf(i));
}
if (weight < 0) {
throw new MathIllegalArgumentException(LocalizedFormats.NEGATIVE_ELEMENT_AT_INDEX, Integer.valueOf(i), Double.valueOf(weight));
}
if (!containsPositiveWeight && weight > 0.0) {
containsPositiveWeight = true;
}
}
if (!containsPositiveWeight) {
throw new MathIllegalArgumentException(LocalizedFormats.WEIGHT_AT_LEAST_ONE_NON_ZERO);
}
return verifyValues(values, begin, length, allowEmpty);
}
/**
* Concatenates a sequence of arrays. The return array consists of the
* entries of the input arrays concatenated in the order they appear in
* the argument list. Null arrays cause NullPointerExceptions; zero
* length arrays are allowed (contributing nothing to the output array).
*
* @param x list of double[] arrays to concatenate
* @return a new array consisting of the entries of the argument arrays
* @throws NullPointerException if any of the arrays are null
* @since 3.6
*/
public static double[] concatenate(double[] ...x) {
int combinedLength = 0;
for (double[] a : x) {
combinedLength += a.length;
}
int offset = 0;
int curLength = 0;
final double[] combined = new double[combinedLength];
for (int i = 0; i < x.length; i++) {
curLength = x[i].length;
System.arraycopy(x[i], 0, combined, offset, curLength);
offset += curLength;
}
return combined;
}
/**
* Returns an array consisting of the unique values in {@code data}.
* The return array is sorted in descending order. Empty arrays
* are allowed, but null arrays result in NullPointerException.
* Infinities are allowed. NaN values are allowed with maximum
* sort order - i.e., if there are NaN values in {@code data},
* {@code Double.NaN} will be the first element of the output array,
* even if the array also contains {@code Double.POSITIVE_INFINITY}.
*
* @param data array to scan
* @return descending list of values included in the input array
* @throws NullPointerException if data is null
* @since 3.6
*/
public static double[] unique(double[] data) {
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Java example source code file (MathArrays.java)
The MathArrays.java Java example source code/*
* 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.util;
import java.lang.reflect.Array;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.Comparator;
import java.util.Iterator;
import java.util.List;
import java.util.TreeSet;
import org.apache.commons.math3.Field;
import org.apache.commons.math3.random.RandomGenerator;
import org.apache.commons.math3.random.Well19937c;
import org.apache.commons.math3.distribution.UniformIntegerDistribution;
import org.apache.commons.math3.exception.DimensionMismatchException;
import org.apache.commons.math3.exception.MathArithmeticException;
import org.apache.commons.math3.exception.MathIllegalArgumentException;
import org.apache.commons.math3.exception.MathInternalError;
import org.apache.commons.math3.exception.NoDataException;
import org.apache.commons.math3.exception.NonMonotonicSequenceException;
import org.apache.commons.math3.exception.NotPositiveException;
import org.apache.commons.math3.exception.NotStrictlyPositiveException;
import org.apache.commons.math3.exception.NullArgumentException;
import org.apache.commons.math3.exception.NumberIsTooLargeException;
import org.apache.commons.math3.exception.NotANumberException;
import org.apache.commons.math3.exception.util.LocalizedFormats;
/**
* Arrays utilities.
*
* @since 3.0
*/
public class MathArrays {
/**
* Private constructor.
*/
private MathArrays() {}
/**
* Real-valued function that operate on an array or a part of it.
* @since 3.1
*/
public interface Function {
/**
* Operates on an entire array.
*
* @param array Array to operate on.
* @return the result of the operation.
*/
double evaluate(double[] array);
/**
* @param array Array to operate on.
* @param startIndex Index of the first element to take into account.
* @param numElements Number of elements to take into account.
* @return the result of the operation.
*/
double evaluate(double[] array,
int startIndex,
int numElements);
}
/**
* Create a copy of an array scaled by a value.
*
* @param arr Array to scale.
* @param val Scalar.
* @return scaled copy of array with each entry multiplied by val.
* @since 3.2
*/
public static double[] scale(double val, final double[] arr) {
double[] newArr = new double[arr.length];
for (int i = 0; i < arr.length; i++) {
newArr[i] = arr[i] * val;
}
return newArr;
}
/**
* <p>Multiply each element of an array by a value.
*
* <p>The array is modified in place (no copy is created).
*
* @param arr Array to scale
* @param val Scalar
* @since 3.2
*/
public static void scaleInPlace(double val, final double[] arr) {
for (int i = 0; i < arr.length; i++) {
arr[i] *= val;
}
}
/**
* Creates an array whose contents will be the element-by-element
* addition of the arguments.
*
* @param a First term of the addition.
* @param b Second term of the addition.
* @return a new array {@code r} where {@code r[i] = a[i] + b[i]}.
* @throws DimensionMismatchException if the array lengths differ.
* @since 3.1
*/
public static double[] ebeAdd(double[] a, double[] b)
throws DimensionMismatchException {
checkEqualLength(a, b);
final double[] result = a.clone();
for (int i = 0; i < a.length; i++) {
result[i] += b[i];
}
return result;
}
/**
* Creates an array whose contents will be the element-by-element
* subtraction of the second argument from the first.
*
* @param a First term.
* @param b Element to be subtracted.
* @return a new array {@code r} where {@code r[i] = a[i] - b[i]}.
* @throws DimensionMismatchException if the array lengths differ.
* @since 3.1
*/
public static double[] ebeSubtract(double[] a, double[] b)
throws DimensionMismatchException {
checkEqualLength(a, b);
final double[] result = a.clone();
for (int i = 0; i < a.length; i++) {
result[i] -= b[i];
}
return result;
}
/**
* Creates an array whose contents will be the element-by-element
* multiplication of the arguments.
*
* @param a First factor of the multiplication.
* @param b Second factor of the multiplication.
* @return a new array {@code r} where {@code r[i] = a[i] * b[i]}.
* @throws DimensionMismatchException if the array lengths differ.
* @since 3.1
*/
public static double[] ebeMultiply(double[] a, double[] b)
throws DimensionMismatchException {
checkEqualLength(a, b);
final double[] result = a.clone();
for (int i = 0; i < a.length; i++) {
result[i] *= b[i];
}
return result;
}
/**
* Creates an array whose contents will be the element-by-element
* division of the first argument by the second.
*
* @param a Numerator of the division.
* @param b Denominator of the division.
* @return a new array {@code r} where {@code r[i] = a[i] / b[i]}.
* @throws DimensionMismatchException if the array lengths differ.
* @since 3.1
*/
public static double[] ebeDivide(double[] a, double[] b)
throws DimensionMismatchException {
checkEqualLength(a, b);
final double[] result = a.clone();
for (int i = 0; i < a.length; i++) {
result[i] /= b[i];
}
return result;
}
/**
* Calculates the L<sub>1 (sum of abs) distance between two points.
*
* @param p1 the first point
* @param p2 the second point
* @return the L<sub>1 distance between the two points
* @throws DimensionMismatchException if the array lengths differ.
*/
public static double distance1(double[] p1, double[] p2)
throws DimensionMismatchException {
checkEqualLength(p1, p2);
double sum = 0;
for (int i = 0; i < p1.length; i++) {
sum += FastMath.abs(p1[i] - p2[i]);
}
return sum;
}
/**
* Calculates the L<sub>1 (sum of abs) distance between two points.
*
* @param p1 the first point
* @param p2 the second point
* @return the L<sub>1 distance between the two points
* @throws DimensionMismatchException if the array lengths differ.
*/
public static int distance1(int[] p1, int[] p2)
throws DimensionMismatchException {
checkEqualLength(p1, p2);
int sum = 0;
for (int i = 0; i < p1.length; i++) {
sum += FastMath.abs(p1[i] - p2[i]);
}
return sum;
}
/**
* Calculates the L<sub>2 (Euclidean) distance between two points.
*
* @param p1 the first point
* @param p2 the second point
* @return the L<sub>2 distance between the two points
* @throws DimensionMismatchException if the array lengths differ.
*/
public static double distance(double[] p1, double[] p2)
throws DimensionMismatchException {
checkEqualLength(p1, p2);
double sum = 0;
for (int i = 0; i < p1.length; i++) {
final double dp = p1[i] - p2[i];
sum += dp * dp;
}
return FastMath.sqrt(sum);
}
/**
* Calculates the cosine of the angle between two vectors.
*
* @param v1 Cartesian coordinates of the first vector.
* @param v2 Cartesian coordinates of the second vector.
* @return the cosine of the angle between the vectors.
* @since 3.6
*/
public static double cosAngle(double[] v1, double[] v2) {
return linearCombination(v1, v2) / (safeNorm(v1) * safeNorm(v2));
}
/**
* Calculates the L<sub>2 (Euclidean) distance between two points.
*
* @param p1 the first point
* @param p2 the second point
* @return the L<sub>2 distance between the two points
* @throws DimensionMismatchException if the array lengths differ.
*/
public static double distance(int[] p1, int[] p2)
throws DimensionMismatchException {
checkEqualLength(p1, p2);
double sum = 0;
for (int i = 0; i < p1.length; i++) {
final double dp = p1[i] - p2[i];
sum += dp * dp;
}
return FastMath.sqrt(sum);
}
/**
* Calculates the L<sub>? (max of abs) distance between two points.
*
* @param p1 the first point
* @param p2 the second point
* @return the L<sub>? distance between the two points
* @throws DimensionMismatchException if the array lengths differ.
*/
public static double distanceInf(double[] p1, double[] p2)
throws DimensionMismatchException {
checkEqualLength(p1, p2);
double max = 0;
for (int i = 0; i < p1.length; i++) {
max = FastMath.max(max, FastMath.abs(p1[i] - p2[i]));
}
return max;
}
/**
* Calculates the L<sub>? (max of abs) distance between two points.
*
* @param p1 the first point
* @param p2 the second point
* @return the L<sub>? distance between the two points
* @throws DimensionMismatchException if the array lengths differ.
*/
public static int distanceInf(int[] p1, int[] p2)
throws DimensionMismatchException {
checkEqualLength(p1, p2);
int max = 0;
for (int i = 0; i < p1.length; i++) {
max = FastMath.max(max, FastMath.abs(p1[i] - p2[i]));
}
return max;
}
/**
* Specification of ordering direction.
*/
public enum OrderDirection {
/** Constant for increasing direction. */
INCREASING,
/** Constant for decreasing direction. */
DECREASING
}
/**
* Check that an array is monotonically increasing or decreasing.
*
* @param <T> the type of the elements in the specified array
* @param val Values.
* @param dir Ordering direction.
* @param strict Whether the order should be strict.
* @return {@code true} if sorted, {@code false} otherwise.
*/
public static <T extends Comparable boolean isMonotonic(T[] val,
OrderDirection dir,
boolean strict) {
T previous = val[0];
final int max = val.length;
for (int i = 1; i < max; i++) {
final int comp;
switch (dir) {
case INCREASING:
comp = previous.compareTo(val[i]);
if (strict) {
if (comp >= 0) {
return false;
}
} else {
if (comp > 0) {
return false;
}
}
break;
case DECREASING:
comp = val[i].compareTo(previous);
if (strict) {
if (comp >= 0) {
return false;
}
} else {
if (comp > 0) {
return false;
}
}
break;
default:
// Should never happen.
throw new MathInternalError();
}
previous = val[i];
}
return true;
}
/**
* Check that an array is monotonically increasing or decreasing.
*
* @param val Values.
* @param dir Ordering direction.
* @param strict Whether the order should be strict.
* @return {@code true} if sorted, {@code false} otherwise.
*/
public static boolean isMonotonic(double[] val, OrderDirection dir, boolean strict) {
return checkOrder(val, dir, strict, false);
}
/**
* Check that both arrays have the same length.
*
* @param a Array.
* @param b Array.
* @param abort Whether to throw an exception if the check fails.
* @return {@code true} if the arrays have the same length.
* @throws DimensionMismatchException if the lengths differ and
* {@code abort} is {@code true}.
* @since 3.6
*/
public static boolean checkEqualLength(double[] a,
double[] b,
boolean abort) {
if (a.length == b.length) {
return true;
} else {
if (abort) {
throw new DimensionMismatchException(a.length, b.length);
}
return false;
}
}
/**
* Check that both arrays have the same length.
*
* @param a Array.
* @param b Array.
* @throws DimensionMismatchException if the lengths differ.
* @since 3.6
*/
public static void checkEqualLength(double[] a,
double[] b) {
checkEqualLength(a, b, true);
}
/**
* Check that both arrays have the same length.
*
* @param a Array.
* @param b Array.
* @param abort Whether to throw an exception if the check fails.
* @return {@code true} if the arrays have the same length.
* @throws DimensionMismatchException if the lengths differ and
* {@code abort} is {@code true}.
* @since 3.6
*/
public static boolean checkEqualLength(int[] a,
int[] b,
boolean abort) {
if (a.length == b.length) {
return true;
} else {
if (abort) {
throw new DimensionMismatchException(a.length, b.length);
}
return false;
}
}
/**
* Check that both arrays have the same length.
*
* @param a Array.
* @param b Array.
* @throws DimensionMismatchException if the lengths differ.
* @since 3.6
*/
public static void checkEqualLength(int[] a,
int[] b) {
checkEqualLength(a, b, true);
}
/**
* Check that the given array is sorted.
*
* @param val Values.
* @param dir Ordering direction.
* @param strict Whether the order should be strict.
* @param abort Whether to throw an exception if the check fails.
* @return {@code true} if the array is sorted.
* @throws NonMonotonicSequenceException if the array is not sorted
* and {@code abort} is {@code true}.
*/
public static boolean checkOrder(double[] val, OrderDirection dir,
boolean strict, boolean abort)
throws NonMonotonicSequenceException {
double previous = val[0];
final int max = val.length;
int index;
ITEM:
for (index = 1; index < max; index++) {
switch (dir) {
case INCREASING:
if (strict) {
if (val[index] <= previous) {
break ITEM;
}
} else {
if (val[index] < previous) {
break ITEM;
}
}
break;
case DECREASING:
if (strict) {
if (val[index] >= previous) {
break ITEM;
}
} else {
if (val[index] > previous) {
break ITEM;
}
}
break;
default:
// Should never happen.
throw new MathInternalError();
}
previous = val[index];
}
if (index == max) {
// Loop completed.
return true;
}
// Loop early exit means wrong ordering.
if (abort) {
throw new NonMonotonicSequenceException(val[index], previous, index, dir, strict);
} else {
return false;
}
}
/**
* Check that the given array is sorted.
*
* @param val Values.
* @param dir Ordering direction.
* @param strict Whether the order should be strict.
* @throws NonMonotonicSequenceException if the array is not sorted.
* @since 2.2
*/
public static void checkOrder(double[] val, OrderDirection dir,
boolean strict) throws NonMonotonicSequenceException {
checkOrder(val, dir, strict, true);
}
/**
* Check that the given array is sorted in strictly increasing order.
*
* @param val Values.
* @throws NonMonotonicSequenceException if the array is not sorted.
* @since 2.2
*/
public static void checkOrder(double[] val) throws NonMonotonicSequenceException {
checkOrder(val, OrderDirection.INCREASING, true);
}
/**
* Throws DimensionMismatchException if the input array is not rectangular.
*
* @param in array to be tested
* @throws NullArgumentException if input array is null
* @throws DimensionMismatchException if input array is not rectangular
* @since 3.1
*/
public static void checkRectangular(final long[][] in)
throws NullArgumentException, DimensionMismatchException {
MathUtils.checkNotNull(in);
for (int i = 1; i < in.length; i++) {
if (in[i].length != in[0].length) {
throw new DimensionMismatchException(
LocalizedFormats.DIFFERENT_ROWS_LENGTHS,
in[i].length, in[0].length);
}
}
}
/**
* Check that all entries of the input array are strictly positive.
*
* @param in Array to be tested
* @throws NotStrictlyPositiveException if any entries of the array are not
* strictly positive.
* @since 3.1
*/
public static void checkPositive(final double[] in)
throws NotStrictlyPositiveException {
for (int i = 0; i < in.length; i++) {
if (in[i] <= 0) {
throw new NotStrictlyPositiveException(in[i]);
}
}
}
/**
* Check that no entry of the input array is {@code NaN}.
*
* @param in Array to be tested.
* @throws NotANumberException if an entry is {@code NaN}.
* @since 3.4
*/
public static void checkNotNaN(final double[] in)
throws NotANumberException {
for(int i = 0; i < in.length; i++) {
if (Double.isNaN(in[i])) {
throw new NotANumberException();
}
}
}
/**
* Check that all entries of the input array are >= 0.
*
* @param in Array to be tested
* @throws NotPositiveException if any array entries are less than 0.
* @since 3.1
*/
public static void checkNonNegative(final long[] in)
throws NotPositiveException {
for (int i = 0; i < in.length; i++) {
if (in[i] < 0) {
throw new NotPositiveException(in[i]);
}
}
}
/**
* Check all entries of the input array are >= 0.
*
* @param in Array to be tested
* @throws NotPositiveException if any array entries are less than 0.
* @since 3.1
*/
public static void checkNonNegative(final long[][] in)
throws NotPositiveException {
for (int i = 0; i < in.length; i ++) {
for (int j = 0; j < in[i].length; j++) {
if (in[i][j] < 0) {
throw new NotPositiveException(in[i][j]);
}
}
}
}
/**
* Returns the Cartesian norm (2-norm), handling both overflow and underflow.
* Translation of the minpack enorm subroutine.
*
* The redistribution policy for MINPACK is available
* <a href="http://www.netlib.org/minpack/disclaimer">here, for
* convenience, it is reproduced below.</p>
*
* <table border="0" width="80%" cellpadding="10" align="center" bgcolor="#E0E0E0">
* <tr> | * Minpack Copyright Notice (1999) University of Chicago. * All rights reserved * </td> | |
| * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * <ol> * <li>Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer.</li> * <li>Redistributions in binary form must reproduce the above * copyright notice, this list of conditions and the following * disclaimer in the documentation and/or other materials provided * with the distribution.</li> * <li>The end-user documentation included with the redistribution, if any, * must include the following acknowledgment: * {@code This product includes software developed by the University of * Chicago, as Operator of Argonne National Laboratory.} * Alternately, this acknowledgment may appear in the software itself, * if and wherever such third-party acknowledgments normally appear.</li> * <li>WARRANTY DISCLAIMER. THE SOFTWARE IS SUPPLIED "AS IS" * WITHOUT WARRANTY OF ANY KIND. THE COPYRIGHT HOLDER, THE * UNITED STATES, THE UNITED STATES DEPARTMENT OF ENERGY, AND * THEIR EMPLOYEES: (1) DISCLAIM ANY WARRANTIES, EXPRESS OR * IMPLIED, INCLUDING BUT NOT LIMITED TO ANY IMPLIED WARRANTIES * OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, TITLE * OR NON-INFRINGEMENT, (2) DO NOT ASSUME ANY LEGAL LIABILITY * OR RESPONSIBILITY FOR THE ACCURACY, COMPLETENESS, OR * USEFULNESS OF THE SOFTWARE, (3) DO NOT REPRESENT THAT USE OF * THE SOFTWARE WOULD NOT INFRINGE PRIVATELY OWNED RIGHTS, (4) * DO NOT WARRANT THAT THE SOFTWARE WILL FUNCTION * UNINTERRUPTED, THAT IT IS ERROR-FREE OR THAT ANY ERRORS WILL * BE CORRECTED.</strong> * <li>LIMITATION OF LIABILITY. IN NO EVENT WILL THE COPYRIGHT * HOLDER, THE UNITED STATES, THE UNITED STATES DEPARTMENT OF * ENERGY, OR THEIR EMPLOYEES: BE LIABLE FOR ANY INDIRECT, * INCIDENTAL, CONSEQUENTIAL, SPECIAL OR PUNITIVE DAMAGES OF * ANY KIND OR NATURE, INCLUDING BUT NOT LIMITED TO LOSS OF * PROFITS OR LOSS OF DATA, FOR ANY REASON WHATSOEVER, WHETHER * SUCH LIABILITY IS ASSERTED ON THE BASIS OF CONTRACT, TORT * (INCLUDING NEGLIGENCE OR STRICT LIABILITY), OR OTHERWISE, * EVEN IF ANY OF SAID PARTIES HAS BEEN WARNED OF THE * POSSIBILITY OF SUCH LOSS OR DAMAGES.</strong> * <ol> |
