perf(jacobian-action): major updates to jacobian action application by removing redudant quadrature work. ~5x increase in speed

libmeanfield/interface/models/structure/polytropic.cppm

@@ -1,13 +1,12 @@
 module;
 
-#include <vector>
-
 #include <mfem.hpp>
 
 export module mean_field:model.structure.polytropic;
 
 export import :eos.polytrope;
 export import :model.structure.base;
+export import :seed.lane_emden;
 
 import :utils.misc;
 
@@ -28,40 +27,6 @@ export namespace mean_field::models::structure {
         void validate() const;
 
     private:
-        struct LaneEmdenPoint {
-            double coordinate{0.0};
-            double value{0.0};
-            double derivative{0.0};
-        };
-
-        struct LaneEmdenDerivative {
-            double value{0.0};
-            double derivative{0.0};
-        };
-
-        static void validateSeedRequest(const StructureSeedRequest &request);
-
-        [[nodiscard]] static LaneEmdenDerivative evaluateLaneEmdenRhs(
-            double coordinate,
-            double value,
-            double derivative,
-            double polytropicIndex
-        );
-
-        [[nodiscard]] static LaneEmdenPoint takeLaneEmdenStep(
-            const LaneEmdenPoint &point,
-            double step,
-            double polytropicIndex
-        );
-
-        [[nodiscard]] static std::vector<LaneEmdenPoint> solveLaneEmden(double polytropicIndex);
-
-        [[nodiscard]] static double interpolateLaneEmdenValue(
-            const std::vector<LaneEmdenPoint> &solution,
-            double coordinate,
-            std::size_t &lowerIndex
-        );
-
         eos::Polytrope m_equationOfState;
         double m_targetMass;
     };