diff --git a/src/mlir/cxx/mlir/CxxOps.td b/src/mlir/cxx/mlir/CxxOps.td
index 50162bdf..dbfd0e5b 100644
--- a/src/mlir/cxx/mlir/CxxOps.td
+++ b/src/mlir/cxx/mlir/CxxOps.td
@@ -57,12 +57,33 @@ def Cxx_IntegerType : Cxx_Type<"Integer", "int"> {
   let assemblyFormat = "`<` $width `,` $isSigned `>`";
 }
 
+def Cxx_FloatType : Cxx_Type<"Float", "float"> {
+  let parameters = (ins "unsigned":$width);
+
+  let assemblyFormat = "`<` $width `>`";
+}
+
 def Cxx_PointerType : Cxx_Type<"Pointer", "ptr"> {
   let parameters = (ins "Type":$elementType);
 
   let assemblyFormat = "`<` $elementType `>`";
 }
 
+def Cxx_ArrayType : Cxx_Type<"Array", "array"> {
+  let parameters = (ins "Type":$elementType, "unsigned":$size);
+
+  let assemblyFormat = "`<` $elementType `,` $size `>`";
+}
+
+def Cxx_ClassType : Cxx_Type<"Class", "class"> {
+  let parameters = (ins
+    StringRefParameter<"class name", [{ "" }]>:$name,
+    OptionalArrayRefParameter<"mlir::Type">:$body
+  );
+
+  let assemblyFormat = "`<` $name `(` $body `)` `>`";
+}
+
 // ops
 
 def Cxx_FuncOp : Cxx_Op<"func", [FunctionOpInterface, IsolatedFromAbove]> {
diff --git a/src/mlir/cxx/mlir/codegen.h b/src/mlir/cxx/mlir/codegen.h
index 6521857a..49655632 100644
--- a/src/mlir/cxx/mlir/codegen.h
+++ b/src/mlir/cxx/mlir/codegen.h
@@ -23,11 +23,14 @@
 #include <cxx/ast_fwd.h>
 #include <cxx/mlir/cxx_dialect.h>
 #include <cxx/source_location.h>
+#include <cxx/symbols_fwd.h>
 #include <cxx/types_fwd.h>
 #include <mlir/Dialect/Func/IR/FuncOps.h>
 #include <mlir/IR/Builders.h>
 #include <mlir/IR/BuiltinOps.h>
 
+#include <unordered_map>
+
 namespace mlir::func {
 class FuncOp;
 }
@@ -271,6 +274,7 @@ class Codegen {
   TranslationUnit* unit_ = nullptr;
   mlir::Block* exitBlock_ = nullptr;
   mlir::cxx::AllocaOp exitValue_;
+  std::unordered_map<ClassSymbol*, std::string> classNames_;
   int count_ = 0;
 };
 
diff --git a/src/mlir/cxx/mlir/convert_type.cc b/src/mlir/cxx/mlir/convert_type.cc
index 9a6f6b11..75f58df0 100644
--- a/src/mlir/cxx/mlir/convert_type.cc
+++ b/src/mlir/cxx/mlir/convert_type.cc
@@ -26,10 +26,13 @@
 #include <cxx/literals.h>
 #include <cxx/memory_layout.h>
 #include <cxx/names.h>
+#include <cxx/scope.h>
 #include <cxx/symbols.h>
 #include <cxx/translation_unit.h>
 #include <cxx/types.h>
 
+#include <format>
+
 namespace cxx {
 
 struct Codegen::ConvertType {
@@ -40,6 +43,7 @@ struct Codegen::ConvertType {
 
   auto getExprType() const -> mlir::Type;
   auto getIntType(const Type* type, bool isSigned) -> mlir::Type;
+  auto getFloatType(const Type* type) -> mlir::Type;
 
   auto operator()(const VoidType* type) -> mlir::Type;
   auto operator()(const NullptrType* type) -> mlir::Type;
@@ -106,6 +110,11 @@ auto Codegen::ConvertType::getIntType(const Type* type, bool isSigned)
   return gen.builder_.getType<mlir::cxx::IntegerType>(width, isSigned);
 }
 
+auto Codegen::ConvertType::getFloatType(const Type* type) -> mlir::Type {
+  return gen.builder_.getType<mlir::cxx::FloatType>(
+      memoryLayout()->sizeOf(type).value() * 8);
+}
+
 auto Codegen::ConvertType::operator()(const VoidType* type) -> mlir::Type {
   return gen.builder_.getType<mlir::cxx::VoidType>();
 }
@@ -205,16 +214,16 @@ auto Codegen::ConvertType::operator()(const WideCharType* type) -> mlir::Type {
 }
 
 auto Codegen::ConvertType::operator()(const FloatType* type) -> mlir::Type {
-  return gen.builder_.getF32Type();
+  return getFloatType(type);
 }
 
 auto Codegen::ConvertType::operator()(const DoubleType* type) -> mlir::Type {
-  return gen.builder_.getF64Type();
+  return getFloatType(type);
 }
 
 auto Codegen::ConvertType::operator()(const LongDoubleType* type)
     -> mlir::Type {
-  return getExprType();
+  return getFloatType(type);
 }
 
 auto Codegen::ConvertType::operator()(const QualType* type) -> mlir::Type {
@@ -223,12 +232,14 @@ auto Codegen::ConvertType::operator()(const QualType* type) -> mlir::Type {
 
 auto Codegen::ConvertType::operator()(const BoundedArrayType* type)
     -> mlir::Type {
-  return getExprType();
+  auto elementType = gen.convertType(type->elementType());
+  return gen.builder_.getType<mlir::cxx::ArrayType>(elementType, type->size());
 }
 
 auto Codegen::ConvertType::operator()(const UnboundedArrayType* type)
     -> mlir::Type {
-  return getExprType();
+  auto elementType = gen.convertType(type->elementType());
+  return gen.builder_.getType<mlir::cxx::PointerType>(elementType);
 }
 
 auto Codegen::ConvertType::operator()(const PointerType* type) -> mlir::Type {
@@ -251,7 +262,38 @@ auto Codegen::ConvertType::operator()(const FunctionType* type) -> mlir::Type {
 }
 
 auto Codegen::ConvertType::operator()(const ClassType* type) -> mlir::Type {
-  return getExprType();
+  auto classSymbol = type->symbol();
+
+  auto ctx = gen.builder_.getContext();
+
+  if (auto it = gen.classNames_.find(classSymbol);
+      it != gen.classNames_.end()) {
+    return mlir::cxx::ClassType::get(ctx, it->second, {});
+  }
+
+  auto name = to_string(classSymbol->name());
+  if (name.empty()) {
+    auto loc = type->symbol()->location();
+    name = std::format("$class_{}", loc.index());
+  }
+
+  gen.classNames_[classSymbol] = name;
+
+  // todo: layout of parent classes, anonymous nested fields, etc.
+
+  std::vector<mlir::Type> memberTypes;
+
+  for (auto member : classSymbol->scope()->symbols()) {
+    auto field = symbol_cast<FieldSymbol>(member);
+    if (!field) continue;
+    if (field->isStatic()) continue;
+    auto memberType = gen.convertType(member->type());
+    memberTypes.push_back(memberType);
+  }
+
+  auto classType = mlir::cxx::ClassType::get(ctx, name, memberTypes);
+
+  return classType;
 }
 
 auto Codegen::ConvertType::operator()(const EnumType* type) -> mlir::Type {
diff --git a/src/mlir/cxx/mlir/cxx_dialect.cc b/src/mlir/cxx/mlir/cxx_dialect.cc
index 19e92dcb..d6174697 100644
--- a/src/mlir/cxx/mlir/cxx_dialect.cc
+++ b/src/mlir/cxx/mlir/cxx_dialect.cc
@@ -44,6 +44,18 @@ struct CxxGenerateAliases : public OpAsmDialectInterface {
       return AliasResult::FinalAlias;
     }
 
+    if (auto floatType = mlir::dyn_cast<mlir::cxx::FloatType>(type)) {
+      os << 'f' << floatType.getWidth();
+      return AliasResult::FinalAlias;
+    }
+
+    if (auto classType = mlir::dyn_cast<mlir::cxx::ClassType>(type)) {
+      if (!classType.getBody().empty()) {
+        os << "class_" << classType.getName();
+        return AliasResult::FinalAlias;
+      }
+    }
+
     if (mlir::isa<VoidType>(type)) {
       os << "void";
       return AliasResult::FinalAlias;