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/*=========================================================================
*
* Copyright NumFOCUS
*
* 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
*
* https://www.apache.org/licenses/LICENSE-2.0.txt
*
* 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.
*
*=========================================================================*/
#ifndef itkCompensatedSummation_hxx
#define itkCompensatedSummation_hxx
namespace itk
{
void ITKCommon_EXPORT
CompensatedSummationAddElement(float & compensation, float & sum, const float element);
void ITKCommon_EXPORT
CompensatedSummationAddElement(double & compensation, double & sum, const double element);
#ifndef itkCompensatedSummation_cxx
// We try the looser pragma guards if we don't have an explicit instantiation.
# ifdef __INTEL_COMPILER
# pragma optimize("", off)
# endif // __INTEL_COMPILER
# ifdef _MSC_VER
# pragma float_control(push)
# pragma float_control(precise, on)
# endif // _MSC_VER i.e. Microsoft Visual Studio
#endif // not itkCompensatedSummation_cxx
template <typename TFloat>
/** A helper for the CompensatedSummation class. */
void
CompensatedSummationAddElement(TFloat & compensation, TFloat & sum, const TFloat & element, int = 0)
{
using AccumulateType = typename NumericTraits<TFloat>::AccumulateType;
const auto compensatedInput = static_cast<AccumulateType>(element - compensation);
const AccumulateType tempSum = sum + compensatedInput;
// Warning: watch out for the compiler optimizing this out!
compensation = static_cast<TFloat>((tempSum - sum) - compensatedInput);
sum = static_cast<TFloat>(tempSum);
}
#ifndef itkCompensatedSummation_cxx
# ifdef __INTEL_COMPILER
# pragma optimize("", on)
# endif // __INTEL_COMPILER
# ifdef _MSC_VER
# pragma float_control(pop)
# endif // _MSC_VER
#endif // not itkCompensatedSummation_cxx
template <typename TFloat>
CompensatedSummation<TFloat>::CompensatedSummation(const TFloat value)
: m_Sum(value)
, m_Compensation(AccumulateType{})
{}
template <typename TFloat>
CompensatedSummation<TFloat>::CompensatedSummation(const Self & rhs)
{
this->m_Sum = rhs.m_Sum;
this->m_Compensation = rhs.m_Compensation;
}
template <typename TFloat>
auto
CompensatedSummation<TFloat>::operator=(const Self & rhs) -> Self &
{
if (this != &rhs)
{
this->m_Sum = rhs.m_Sum;
this->m_Compensation = rhs.m_Compensation;
}
return *this;
}
template <typename TFloat>
void
CompensatedSummation<TFloat>::AddElement(const FloatType & element)
{
CompensatedSummationAddElement(this->m_Compensation, this->m_Sum, element);
}
template <typename TFloat>
CompensatedSummation<TFloat> &
CompensatedSummation<TFloat>::operator+=(const FloatType & rhs)
{
this->AddElement(rhs);
return *this;
}
template <typename TFloat>
CompensatedSummation<TFloat> &
CompensatedSummation<TFloat>::operator+=(const Self & rhs)
{
this->AddElement(rhs.m_Compensation);
this->AddElement(rhs.m_Sum);
return *this;
}
template <typename TFloat>
CompensatedSummation<TFloat> &
CompensatedSummation<TFloat>::operator-=(const FloatType & rhs)
{
this->AddElement(-rhs);
return *this;
}
template <typename TFloat>
CompensatedSummation<TFloat> &
CompensatedSummation<TFloat>::operator*=(const FloatType & rhs)
{
this->m_Sum *= rhs;
this->m_Compensation *= rhs;
return *this;
}
template <typename TFloat>
CompensatedSummation<TFloat> &
CompensatedSummation<TFloat>::operator/=(const FloatType & rhs)
{
this->m_Sum /= rhs;
this->m_Compensation /= rhs;
return *this;
}
template <typename TFloat>
void
CompensatedSummation<TFloat>::ResetToZero()
{
this->m_Sum = AccumulateType{};
this->m_Compensation = AccumulateType{};
}
template <typename TFloat>
CompensatedSummation<TFloat> &
CompensatedSummation<TFloat>::operator=(const FloatType & rhs)
{
this->m_Sum = rhs;
this->m_Compensation = AccumulateType{};
return *this;
}
template <typename TFloat>
auto
CompensatedSummation<TFloat>::GetSum() const -> const AccumulateType &
{
return this->m_Sum;
}
template <typename TFloat>
CompensatedSummation<TFloat>::operator typename CompensatedSummation<TFloat>::FloatType() const
{
return this->m_Sum;
}
} // end namespace itk
#endif
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