div.hpp

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// SPDX-License-Identifier: BSD-2-Clause
 
#ifndef pRC_CORE_COMPLEX_FUNCTIONS_DIV_H
#define pRC_CORE_COMPLEX_FUNCTIONS_DIV_H
 
#include <prc/core/complex/complex.hpp>
#include <prc/core/complex/functions/norm.hpp>
 
namespace pRC
{
    template<IsComplex TA, IsComplex TB>
    static inline constexpr auto operator/(TA const &a, TB const &b)
    {
        auto const denominator = rcp(norm<2, 1>(b));
 
        auto const real =
            (a.real() * b.real() + a.imag() * b.imag()) * denominator;
        auto const imag =
            (a.imag() * b.real() - a.real() * b.imag()) * denominator;
 
        return Complex(real, imag);
    }
 
    template<IsComplex TA, IsValue TB>
    static inline constexpr auto operator/(TA const &a, TB const &b)
    {
        auto const real = a.real() / b;
        auto const imag = a.imag() / b;
 
        return Complex(real, imag);
    }
 
    template<IsValue TA, IsComplex TB>
    static inline constexpr auto operator/(TA const &a, TB const &b)
    {
        auto const denominator = rcp(norm<2, 1>(b));
 
        auto const real = a * b.real() * denominator;
        auto const imag = -a * b.imag() * denominator;
 
        return Complex(real, imag);
    }
}
#endif // pRC_CORE_COMPLEX_FUNCTIONS_DIV_H