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/* Copyright (c) 2008-2022 the MRtrix3 contributors.
*
* This Source Code Form is subject to the terms of the Mozilla Public
* License, v. 2.0. If a copy of the MPL was not distributed with this
* file, You can obtain one at http://mozilla.org/MPL/2.0/.
*
* Covered Software is provided under this License on an "as is"
* basis, without warranty of any kind, either expressed, implied, or
* statutory, including, without limitation, warranties that the
* Covered Software is free of defects, merchantable, fit for a
* particular purpose or non-infringing.
* See the Mozilla Public License v. 2.0 for more details.
*
* For more details, see http://www.mrtrix.org/.
*/
#ifndef __math_factorial_h__
#define __math_factorial_h__
#include <functional>
#include <limits>
namespace MR
{
namespace Math
{
template <typename T>
T factorial (const T i) {
if (i < 2) {
return T(1);
} else if (i == std::numeric_limits<T>::max()) {
return i;
} else {
const T multiplier = factorial<T>(i-1);
const T result = i * multiplier;
if (result / multiplier == i)
return result;
else
return std::numeric_limits<T>::max();
}
};
}
}
#endif
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