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+/*
+ * Copyright (C) 2026 Richard
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <https://www.gnu.org/licenses/>.
+ */
+#ifndef VEC_3
+#define VEC_3
+
+#include <array>
+#include <cmath>
+#include <iostream>
+
+class vec3{
+ public:
+ std::array<double, 3> e;
+
+ vec3() : e{0, 0, 0} {}
+ vec3(double e0, double e1, double e2) : e{e0, e1, e2} {}
+
+ double x() const;
+ double y() const;
+ double z() const;
+
+ vec3 operator-() const;
+ double operator[](int i) const;
+ double &operator[](int i);
+ vec3& operator+=(const vec3 & other);
+ vec3& operator*=(double t);
+ vec3& operator/=(double t);
+ double length() const;
+ double length_squared() const;
+
+
+};
+
+inline std::ostream &operator<<(std::ostream &out, const vec3 &v);
+inline vec3 operator+(const vec3 &u, const vec3 &v);
+inline vec3 operator-(const vec3 &u, const vec3 &v);
+inline vec3 operator*(const vec3 &u, const vec3 &v);
+inline vec3 operator*(double t, const vec3 &v);
+inline vec3 operator*(const vec3 &v, double t);
+inline vec3 operator/(const vec3 &v, double t);
+inline double dot(const vec3 &u, const vec3 &v);
+inline vec3 cross(const vec3 &u, const vec3 &v);
+inline vec3 unit_vector(const vec3 &v);
+
+#endif