Began working on mfem_resolver formatters

src/include/serif/discretization/quadrature/backend/mfem/mfem_resolver.hpp

@@ -1,10 +1,11 @@
 #pragma once
 #include <span>
+#include <format>
+#include <unordered_map>
 
 #include "mfem/fem/geom.hpp"
 #include "mfem/fem/intrules.hpp"
 
-#include "serif/discretization/blocks/traits.hpp"
 #include "serif/discretization/quadrature/rules.hpp"
 
 #include "serif/discretization/quadrature/backend/order.hpp"
@@ -16,6 +17,8 @@
 #include "serif/discretization/quadrature/backend/mfem/concepts.hpp"
 #include "serif/discretization/quadrature/backend/mfem/mfem_static_order.hpp"
 
+#include "serif/utils/format/strings.hpp"
+
 // We may want to consider renaming this file to runtime to stick to convention. The reason
 // I did not initially is that this is more specific than pure runtime projection of compile
 // time invariants (which is what most of the other files named runtime.hpp do). Something to think
@@ -43,7 +46,7 @@ namespace serif::discretization::quadrature::backend::mfem {
     };
 
     struct MFEMRule final {
-        Resolution resolution;
+        Resolution resolution{};
 
         const ::mfem::IntegrationRule *integration_rule = nullptr;
     };
@@ -85,4 +88,33 @@ namespace serif::discretization::quadrature::backend::mfem {
     private:
         Policy m_policy;
     };
-}
+}
+
+template <>
+struct std::formatter<serif::discretization::quadrature::backend::mfem::MFEMQuadratureContext> : std::formatter<std::string> {
+    template <typename FormatContext>
+    auto format(const serif::discretization::quadrature::backend::mfem::MFEMQuadratureContext& mfem_context, FormatContext& fc) {
+        std::unordered_map<::mfem::Geometry::Type, std::string> MFEM_GEOM_TYPE_NAME_MAP {
+            {::mfem::Geometry::INVALID, "INVALID"},
+            {::mfem::Geometry::POINT, "POINT"},
+            {::mfem::Geometry::SEGMENT, "SEGMENT"},
+            {::mfem::Geometry::SQUARE, "SQUARE"},
+            {::mfem::Geometry::TETRAHEDRON, "TETRAHEDRON"},
+            {::mfem::Geometry::CUBE, "CUBE"},
+            {::mfem::Geometry::PRISM, "PRISM"},
+            {::mfem::Geometry::PYRAMID, "PYRAMID"},
+            {::mfem::Geometry::NUM_GEOMETRIES, std::format("NUM_GEOMETRIES={}", static_cast<int>(mfem::Geometry::NUM_GEOMETRIES))}
+        };
+        return std::formatter<std::string>::format(
+            std::format(
+                "MFEMQuadratureContext(form={}, geom_type={}, geom_weight_order={}, dynamic_orders={}, domains={}, mapping={})",
+                mfem_context.role,
+                MFEM_GEOM_TYPE_NAME_MAP.at(mfem_context.geometry),
+                mfem_context.geometry_weight_order,
+                serif::utils::misc::format::join(mfem_context.dynamic_orders, ", "),
+                mfem_context.domain,
+                mfem_context.mapping
+                ), fc);
+    }
+
+};