in lieu of doing anything remotely useful, i decided to do this

circles.cpp

#include <array>
#include <cmath>
#include <cstdlib>
#include <iostream>
#include <utility>

namespace circles {
namespace {

template <std::size_t radius, std::size_t cx, std::size_t cy, std::size_t N, std::size_t... I>
constexpr std::array<std::pair<double, double>, N> make_circle(std::index_sequence<I...>) {
        return std::array<std::pair<double, double>, N>{{
                {cx + radius * std::cos(((double)I / N) * 2 * M_PI), cy + radius * std::sin(((double)I / N) * 2 * M_PI)}...
        }};
}

}; // <anonymous>

template <
        std::size_t radius,
        std::int32_t ox = 0,
        std::int32_t oy = 0,
        std::size_t resolution = 1000,
        typename Indices=std::make_index_sequence<resolution>
>
struct Circle {
        using Point = std::pair<double, double>;
        static constexpr std::array<Point, resolution> points = make_circle<radius, ox, oy, resolution>(Indices{});
};
}; // <circles>

int main() {
        for (auto p : circles::Circle<1, 0, 0, 20>::points) {
                std::cout << "(" << p.first << ", " << p.second << ")" << std::endl;
        }
}

$ g++ -o circles -std=c++17 -lm circles.cpp