fix(graph_engine): fixed major bug with jacobian sparsity

previousl the sparsity calculations for the jacobian matrix were completly broken. The method subgraph_sparsity was returning that all derivities were only depenednt on temperature and density. It should have been reporting that they also depended on some of the abundances. This was resolved by switching to a different structural sparsity engine (for_jac_sparsity). This bug had turned the solver into a fixed point iteration solver which failed for the stiff system we have. Now that it is resolved the solver can once again evolved over Gyr timescales.

src/include/gridfire/exceptions/error_engine.h

@@ -110,4 +110,37 @@ namespace gridfire::exceptions {
         std::string m_message;
     };
 
+    class JacobianError : public EngineError {};
+
+    class StaleJacobianError final : public JacobianError {
+    public:
+        explicit StaleJacobianError(std::string  message) : m_message(std::move(message)) {}
+        [[nodiscard]] const char* what() const noexcept override {
+            return m_message.c_str();
+        }
+
+    private:
+        std::string m_message;
+    };
+
+    class UninitializedJacobianError final: public JacobianError {
+    public:
+        explicit UninitializedJacobianError(std::string  message): m_message(std::move(message)) {}
+        [[nodiscard]] const char* what() const noexcept override {
+            return m_message.c_str();
+        }
+    private:
+        std::string m_message;
+    };
+
+    class UnknownJacobianError final : public JacobianError {
+    public:
+        explicit UnknownJacobianError(std::string  message): m_message(std::move(message)) {}
+        [[nodiscard]] const char* what() const noexcept override {
+            return m_message.c_str();
+        }
+    private:
+        std::string m_message;
+    };
+
 }