Description
Returns n!.
License
Apache License
Parameter
Parameter | Description |
---|
n | argument |
Exception
Parameter | Description |
---|
MathArithmeticException | if n > 20: The factorial value is toolarge to fit in a long. |
NotPositiveException | if n < 0. |
Return
n!
Declaration
public static long factorial(final int n) throws NotPositiveException,
MathArithmeticException
Method Source Code
/*/*from ww w .j a v a 2 s . c om*/
* 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.
*/
import java.math.BigInteger;
import java.util.concurrent.atomic.AtomicReference;
import org.apache.commons.math3.exception.MathArithmeticException;
import org.apache.commons.math3.exception.NotPositiveException;
import org.apache.commons.math3.exception.NumberIsTooLargeException;
import org.apache.commons.math3.exception.util.Localizable;
import org.apache.commons.math3.exception.util.LocalizedFormats;
public class Main{
/** All long-representable factorials */
static final long[] FACTORIALS = new long[] { 1l, 1l, 2l, 6l, 24l,
120l, 720l, 5040l, 40320l, 362880l, 3628800l, 39916800l,
479001600l, 6227020800l, 87178291200l, 1307674368000l,
20922789888000l, 355687428096000l, 6402373705728000l,
121645100408832000l, 2432902008176640000l };
/**
* Returns n!. Shorthand for {@code n} <a
* href="http://mathworld.wolfram.com/Factorial.html"> Factorial</a>, the
* product of the numbers {@code 1,...,n}.
* <p>
* <Strong>Preconditions</strong>:
* <ul>
* <li> {@code n >= 0} (otherwise
* {@code IllegalArgumentException} is thrown)</li>
* <li> The result is small enough to fit into a {@code long}. The
* largest value of {@code n} for which {@code n!} <
* Long.MAX_VALUE} is 20. If the computed value exceeds {@code Long.MAX_VALUE}
* an {@code ArithMeticException } is thrown.</li>
* </ul>
* </p>
*
* @param n argument
* @return {@code n!}
* @throws MathArithmeticException if the result is too large to be represented
* by a {@code long}.
* @throws NotPositiveException if {@code n < 0}.
* @throws MathArithmeticException if {@code n > 20}: The factorial value is too
* large to fit in a {@code long}.
*/
public static long factorial(final int n) throws NotPositiveException,
MathArithmeticException {
if (n < 0) {
throw new NotPositiveException(
LocalizedFormats.FACTORIAL_NEGATIVE_PARAMETER, n);
}
if (n > 20) {
throw new MathArithmeticException();
}
return FACTORIALS[n];
}
}
Related
- factorialDouble(final int n)
- factorialLog(final int n)