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+#ifndef MATH_H
+#define MATH_H
+
+#include <glm/glm.hpp>
+#include <glm/gtc/constants.hpp>
+#include <utility>
+
+using Arc = std::pair<float, float>;
+
+constexpr const glm::vec3 up {0, 1, 0};
+constexpr const glm::vec3 north {0, 0, 1};
+constexpr auto half_pi {glm::half_pi<float>()};
+constexpr auto pi {glm::pi<float>()};
+constexpr auto two_pi {glm::two_pi<float>()};
+
+glm::mat4 flat_orientation(const glm::vec3 & diff);
+
+float flat_angle(const glm::vec3 & diff);
+
+float round_frac(const float & v, const float & frac);
+
+constexpr inline glm::vec3
+operator!(const glm::vec2 & v)
+{
+ return {v.x, 0, v.y};
+}
+
+constexpr inline float
+arc_length(const Arc & arc)
+{
+ return arc.second - arc.first;
+}
+
+float normalize(float ang);
+
+Arc create_arc(const glm::vec3 & centre3, const glm::vec3 & e0p, const glm::vec3 & e1p);
+
+#endif