perf(allocations): reduced overall allocations by 95%, increaseed jacobian applicatin by 2x

This commit uses global pre allocated work space to dramatically reduce memory usage and allocation time

libmeanfield/interface/mapping/compactification/compactification.cppm

@@ -31,6 +31,16 @@ export namespace mean_field::mapping::compactification {
     public:
         virtual ~ExteriorDomainMap() = default;
 
+        /*
+         * Return true when, with the reference and compactification data held
+         * fixed, both outputs of Evaluate are affine functions of the
+         * displaced position and displacement Jacobian.  This is the contract
+         * required by the exact determinant-polynomial geometry preflight.
+         */
+        [[nodiscard]] virtual bool IsAffineInDisplacement() const noexcept {
+            return false;
+        }
+
         [[nodiscard]] virtual MappingStatus Evaluate(
             const ExteriorMapInput &input,
             ExteriorMapResult &result