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Created: 2024-12-20 06:23

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/builds/MusicScience37Projects/numerical-analysis/numerical-collection-cpp/include/num_collect/rbf/rbfs/inverse_quadratic_rbf.h
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/*
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 * Copyright 2024 MusicScience37 (Kenta Kabashima)
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 *
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 * Licensed under the Apache License, Version 2.0 (the "License");
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 * you may not use this file except in compliance with the License.
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 * You may obtain a copy of the License at
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 *
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 *     http://www.apache.org/licenses/LICENSE-2.0
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 *
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 * Unless required by applicable law or agreed to in writing, software
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 * distributed under the License is distributed on an "AS IS" BASIS,
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 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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 * See the License for the specific language governing permissions and
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 * limitations under the License.
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 */
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/*!
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 * \file
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 * \brief Definition of inverse_quadratic_rbf class.
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 */
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#pragma once
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#include "num_collect/base/concepts/real_scalar.h"
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namespace num_collect::rbf::rbfs {
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/*!
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 * \brief Class of inverse quadratic RBF \cite Fornberg2015.
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 *
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 * \tparam Scalar Type of scalars.
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 */
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template <base::concepts::real_scalar Scalar>
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class inverse_quadratic_rbf {
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public:
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    //! Type of scalars.
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    using scalar_type = Scalar;
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    /*!
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     * \brief Calculate a function value of RBF.
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     *
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     * \param[in] distance_rate Rate of distance.
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     * \return Value of this RBF.
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     */
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    [[nodiscard]] auto operator()(
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        const scalar_type& distance_rate) const noexcept -> scalar_type {
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        return static_cast<scalar_type>(1) /
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            (static_cast<scalar_type>(1) + distance_rate * distance_rate);
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    }
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};
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}  // namespace num_collect::rbf::rbfs