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44 lines
1.2 KiB
44 lines
1.2 KiB
2 years ago
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#ifndef MEDUSA_BITS_APPROXIMATIONS_GAUSSIAN_HPP_
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#define MEDUSA_BITS_APPROXIMATIONS_GAUSSIAN_HPP_
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/**
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* @file
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* Implementation of Gaussian RBF.
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*/
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#include "Gaussian_fwd.hpp"
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#include <cmath>
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#include <medusa/bits/utils/assert.hpp>
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#include <medusa/bits/utils/numutils.hpp>
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namespace mm {
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template <typename scal_t>
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Gaussian<scal_t>::Gaussian(scal_t shape) : shape_(shape) {
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assert_msg(shape_ > 0, "Shape should be greater than 0, got %s.", shape_);
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}
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template <class scal_t>
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scal_t Gaussian<scal_t>::operator()(scal_t r2, int derivative) const {
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assert_msg(derivative >= 0, "Derivative of negative order %d requested.", derivative);
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scal_t f = -1.0/shape_/shape_;
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return std::exp(r2*f) * ipow(f, derivative);
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}
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/// @cond
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template <class scal_t>
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template <int dimension>
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scal_t Gaussian<scal_t>::operator()(scalar_t r2, Lap<dimension>) const {
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scal_t f = -1.0/shape_/shape_;
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return (2*dimension*f + 4*r2*(f*f)) * std::exp(r2*f);
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}
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/// @endcond
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/// Output basic information about given Gaussian RBF.
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template <class S>
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std::ostream& operator<<(std::ostream& os, const Gaussian<S>& b) {
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return os << "Gaussian RBF with shape " << b.shape();
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}
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} // namespace mm
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#endif // MEDUSA_BITS_APPROXIMATIONS_GAUSSIAN_HPP_
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