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// Copyright (c) 2024 // INRIA Nancy (France), and Université Gustave Eiffel Marne-la-Vallée (France). // All rights reserved. // // This file is part of CGAL (www.cgal.org) // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Triangulation_on_hyperbolic_surface_2/include/CGAL/Complex_number.h $ // $Id: include/CGAL/Complex_number.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // Author(s) : Vincent Despré, Loïc Dubois, Marc Pouget, Monique Teillaud #ifndef CGAL_COMPLEX_NUMBER_H #define CGAL_COMPLEX_NUMBER_H #include #include #include namespace CGAL { /* Templated by a field FT. Represents a complex number over FT. */ template class Complex_number { typedef Complex_number Self; FT real_, imag_; public: Complex_number(const FT& real_part) : real_(real_part), imag_(0) {} Complex_number(const FT& real_part, const FT& imaginary_part) : real_(real_part), imag_(imaginary_part) {} Complex_number() : Complex_number(FT(0), FT(0)) {} template Complex_number(U&& real_part, V&& imaginary_part) : real_(std::forward(real_part)), imag_(std::forward(imaginary_part)) {} void real(const FT& real_part) { real_ = real_part; } void imag(const FT& imaginary_part) { imag_ = imaginary_part; } FT real() const { return real_; } FT imag() const { return imag_; } Self& operator+=(const Self& other); Self& operator-=(const Self& other); Self& operator*=(const Self& other); Self& operator/=(const Self& other); // These member versions are not working ? /* Self operator+(const Self& z) const; */ /* Self operator-(const Self& z) const; */ // Hidden friends friend Self operator+(const Self& z) { return z; } friend Self operator-(const Self& z) { return Self(-z.real_,-z.imag_); } friend bool operator==(const Self& z1, const Self& z2) { return (z1.real_==z2.real_ && z1.imag_==z2.imag_); } friend bool operator!=(const Self& z1, const Self& z2) { return !operator==(z1, z2); } friend Self operator+(const Self& z1, const Self& z2) { return Self(z1.real_+z2.real_, z1.imag_+z2.imag_); } friend Self operator-(const Self& z1, const Self& z2) { return Self(z1.real_-z2.real_, z1.imag_-z2.imag_); } friend Self operator*(const Self& z1, const Self& z2) { return Self(z1.real_*z2.real_-z1.imag_*z2.imag_, z1.real_*z2.imag_+z1.imag_*z2.real_); } friend Self operator/(const Self& z1, const Self& z2) { FT m2 = norm(z2); return Self(z1.real_/m2, z1.imag_/m2)*conj(z2); } friend std::ostream& operator<<(std::ostream& s, const Self& z) { s << z.real_ << std::endl << z.imag_ << std::endl; return s; } friend void operator>>(std::istream& s, Self& z) { FT ft; s >> ft; z.real(ft); s >> ft; z.imag(ft); } }; //////////////////////////////////////////////////////////////////////////////// template Complex_number& Complex_number::operator+=(const Complex_number& other) { real_ += other.real(); imag_ += other.imag(); return *this; } template Complex_number& Complex_number::operator-=(const Complex_number& other) { real_ -= other.real(); imag_ -= other.imag(); return *this; } template Complex_number& Complex_number::operator*=(const Complex_number& other) { real_ = real_*other.real() - imag_*other.imag(); imag_ = real_*other.imag() + imag_*other.real(); return *this; } template Complex_number& Complex_number::operator/=(const Complex_number& other) { FT m2 = norm(other); real_ /= m2; imag_ /= m2; this *= conj(other); return *this; } template FT norm(const Complex_number& z) { return z.real()*z.real() + z.imag()*z.imag(); } template Complex_number conj(const Complex_number& z) { return Complex_number(z.real(), -z.imag()); } } // namespace CGAL #endif // CGAL_COMPLEX_NUMBER_H