/*******************************************************************************
* Copyright 2012 Analog Devices, Inc.
*
* Licensed 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 com.analog.lyric.math;
import net.jcip.annotations.NotThreadSafe;
@NotThreadSafe
public class Functions
{
private static enum ApproximateFactorialHelper
{
INSTANCE;
private static final int CACHE_SIZE = 100;
private final double [] _cache = new double[CACHE_SIZE];
public double run(int n)
{
n = Math.abs(n);
if (n < CACHE_SIZE)
return getFromCache(n);
else
{
//stirling
//log(n!)=nlog(n) - n +1/2 log(2pi n)+ 1/(12 n)
return n*Math.log(n)- n + 1.0/2.0*Math.log(2.0*Math.PI*n) + 1.0/(12.0*n);
}
}
public double getFromCache(int n)
{
if (n <= 2)
{
_cache[2] = Math.log(n);
return _cache[n];
}
else
{
if (_cache[n] == 0)
{
_cache[n] = getFromCache(n-1)+ Math.log(n);
}
return _cache[n];
}
}
}
public static double logfactorial(int n)
{
return ApproximateFactorialHelper.INSTANCE.run(n);
}
public static double [][] transpose(double [][] mat)
{
double [][] retval = new double[mat[0].length][];
for (int i = 0; i < retval.length; i++)
{
retval[i] = new double[mat.length];
for (int j = 0; j < retval[i].length; j++)
retval[i][j] = mat[j][i];
}
return retval;
}
}