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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 itkSinRegularizedHeavisideStepFunction_hxx
#define itkSinRegularizedHeavisideStepFunction_hxx
#include "itkMath.h"
namespace itk
{
template <typename TInput, typename TOutput>
auto
SinRegularizedHeavisideStepFunction<TInput, TOutput>::Evaluate(const InputType & input) const -> OutputType
{
if (static_cast<RealType>(input) >= this->GetEpsilon())
{
return NumericTraits<OutputType>::OneValue();
}
else
{
if (static_cast<RealType>(input) <= -this->GetEpsilon())
{
return OutputType{};
}
else
{
const RealType angleFactor = 0.5 * itk::Math::pi * this->GetOneOverEpsilon();
const RealType angle = input * angleFactor;
return static_cast<OutputType>(0.5 * (1.0 + std::sin(angle)));
}
}
}
template <typename TInput, typename TOutput>
auto
SinRegularizedHeavisideStepFunction<TInput, TOutput>::EvaluateDerivative(const InputType & input) const -> OutputType
{
if (itk::Math::abs(static_cast<RealType>(input)) >= this->GetEpsilon())
{
return OutputType{};
}
else
{
const RealType angleFactor = 0.5 * itk::Math::pi * this->GetOneOverEpsilon();
const RealType angle = input * angleFactor;
return static_cast<OutputType>(0.5 * angleFactor * std::cos(angle));
}
}
} // namespace itk
#endif
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