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toddcox-visualize-v0/cosets/include/mirrors.hpp

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C++

#pragma once
#include <vector>
#include <glm/glm.hpp>
#include <cmath>
#include "coxeter.hpp"
#include "numeric.hpp"
std::vector<glm::vec4> mirror(const Mults &mults) {
std::vector<glm::vec4> mirrors{};
for (int p = 0; p < mults.dim; ++p) {
glm::vec4 vp{};
for (int m = 0; m < p; ++m) {
glm::vec4 vq = mirrors[m];
vp[m] = (cos(M_PI / mults.get(p, m)) - dot(m, vp, vq)) / vq[m];
}
vp[p] = std::sqrt(1 - glm::dot(vp, vp));
for (const auto &v : mirrors) {
if (glm::dot(vp, v) > 0) {
vp *= -1;
break;
}
}
mirrors.push_back(round(vp, 15));
}
return mirrors;
}