Fix ray-sphere intersection: return an interval
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1 changed files with 8 additions and 4 deletions
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@ -211,17 +211,21 @@ namespace psemek::geom
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template <typename T, std::size_t N>
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template <typename T, std::size_t N>
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std::optional<std::pair<T, T>> intersection(ray<T, N> const & r, sphere<T, N> const & s)
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interval<T> intersection(ray<T, N> const & r, sphere<T, N> const & s)
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{
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{
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auto d = r.origin - s.center;
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auto d = r.origin - s.center;
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return solve_quadratic(length_sqr(r.direction), T{2} * dot(r.direction, d), length_sqr(d) - sqr(s.radius));
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auto ir = solve_quadratic(length_sqr(r.direction), T{2} * dot(r.direction, d), length_sqr(d) - sqr(s.radius));
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if (!ir)
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return {};
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return {ir->first, ir->second};
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}
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}
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template <typename T, std::size_t N, typename = std::enable_if_t<(N > 2)>>
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template <typename T, std::size_t N>
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bool intersect(ray<T, N> const & r, sphere<T, N> const & s)
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bool intersect(ray<T, N> const & r, sphere<T, N> const & s)
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{
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{
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return static_cast<bool>(intersection(r, s));
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return intersection(r, s).empty();
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}
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}
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}
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}
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